{"id":91063,"date":"2021-02-18T10:34:53","date_gmt":"2021-02-18T09:34:53","guid":{"rendered":"https:\/\/groupe-reussite.fr\/?page_id=91063"},"modified":"2022-07-22T15:07:07","modified_gmt":"2022-07-22T14:07:07","slug":"cours-en-ligne-exercices-corriges-nombres-premiers-fermat-terminale","status":"publish","type":"page","link":"https:\/\/groupe-reussite.fr\/ressources\/cours-en-ligne-exercices-corriges-nombres-premiers-fermat-terminale\/","title":{"rendered":"Exercices et corrig\u00e9s nombres complexes Terminale"},"content":{"rendered":"<div class=\"Latex_page\">\n<section class=\"has_ae_slider elementor-element elementor-section-full_width elementor-reverse-mobile elementor-section-stretched elementor-section-height-default elementor-section-height-default ae-bg-gallery-type-default elementor-section elementor-top-section\">\n<div class=\"elementor-container elementor-column-gap-no\">\n<div class=\"elementor-row\">\n<div class=\"elementor-column-wrap elementor-element-populated colone_elementor\">\n<p style=\"text-align: justify;\">\t\t<div data-elementor-type=\"page\" data-elementor-id=\"85134\" class=\"elementor elementor-85134\">\n\t\t\t\t\t\t<section class=\"has_ae_slider elementor-section elementor-top-section elementor-element elementor-element-10da350a elementor-section-content-bottom elementor-section-boxed elementor-section-height-default elementor-section-height-default ae-bg-gallery-type-default\" data-id=\"10da350a\" data-element_type=\"section\" data-e-type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-no\">\n\t\t\t\t\t<div class=\"has_ae_slider elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-4b0929de sticky_badeau_colone strick_col ae-bg-gallery-type-default\" data-id=\"4b0929de\" data-element_type=\"column\" data-e-type=\"column\" data-settings=\"{&quot;background_background&quot;:&quot;classic&quot;}\">\n\t\t\t<div class=\"elementor-widget-wrap\">\n\t\t\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"has_ae_slider elementor-section elementor-top-section elementor-element elementor-element-68eecbf elementor-section-boxed elementor-section-height-default elementor-section-height-default ae-bg-gallery-type-default\" data-id=\"68eecbf\" data-element_type=\"section\" data-e-type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-no\">\n\t\t\t\t\t<div class=\"has_ae_slider elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-3c6e4a1c strick_col ae-bg-gallery-type-default\" data-id=\"3c6e4a1c\" data-element_type=\"column\" data-e-type=\"column\" data-settings=\"{&quot;background_background&quot;:&quot;classic&quot;}\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-5e2a6b8d elementor-widget elementor-widget-heading\" data-id=\"5e2a6b8d\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<p class=\"elementor-heading-title elementor-size-default\"><a href=\"https:\/\/groupe-reussite.fr\/ressources\/cours-en-ligne-terminale-maths\/\">Cours en ligne Maths en Terminale<\/a><\/p>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-b2d17b9 elementor-widget elementor-widget-heading\" data-id=\"b2d17b9\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<p class=\"elementor-heading-title elementor-size-default\">Chapitres Maths en Terminale G\u00e9n\u00e9rale<\/p>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-4afe09ff elementor-align-justify elementor-widget elementor-widget-button\" data-id=\"4afe09ff\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"button.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<div class=\"elementor-button-wrapper\">\n\t\t\t\t\t<a class=\"elementor-button elementor-button-link elementor-size-sm\" href=\"https:\/\/groupe-reussite.fr\/ressources\/cours-en-ligne-recurrence-terminale\/\">\n\t\t\t\t\t\t<span class=\"elementor-button-content-wrapper\">\n\t\t\t\t\t\t\t\t\t<span class=\"elementor-button-text\">Raisonnement et r\u00e9currence<\/span>\n\t\t\t\t\t<\/span>\n\t\t\t\t\t<\/a>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-16c8edd8 elementor-align-justify elementor-widget elementor-widget-button\" data-id=\"16c8edd8\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"button.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<div class=\"elementor-button-wrapper\">\n\t\t\t\t\t<a class=\"elementor-button elementor-button-link elementor-size-sm\" href=\"https:\/\/groupe-reussite.fr\/ressources\/cours-en-ligne-suites-terminale\/\">\n\t\t\t\t\t\t<span class=\"elementor-button-content-wrapper\">\n\t\t\t\t\t\t\t\t\t<span class=\"elementor-button-text\">Les suites<\/span>\n\t\t\t\t\t<\/span>\n\t\t\t\t\t<\/a>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-3bb57f03 elementor-align-justify elementor-widget elementor-widget-button\" data-id=\"3bb57f03\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"button.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<div class=\"elementor-button-wrapper\">\n\t\t\t\t\t<a class=\"elementor-button elementor-button-link elementor-size-sm\" href=\"https:\/\/groupe-reussite.fr\/ressources\/cours-en-ligne-limites-fonctions-terminale\/\">\n\t\t\t\t\t\t<span class=\"elementor-button-content-wrapper\">\n\t\t\t\t\t\t\t\t\t<span class=\"elementor-button-text\">Les limites<\/span>\n\t\t\t\t\t<\/span>\n\t\t\t\t\t<\/a>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-7b9945a3 elementor-align-justify elementor-widget elementor-widget-button\" data-id=\"7b9945a3\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"button.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<div class=\"elementor-button-wrapper\">\n\t\t\t\t\t<a class=\"elementor-button elementor-button-link elementor-size-sm\" href=\"https:\/\/groupe-reussite.fr\/ressources\/cours-en-ligne-continuite-terminale\/\">\n\t\t\t\t\t\t<span class=\"elementor-button-content-wrapper\">\n\t\t\t\t\t\t\t\t\t<span class=\"elementor-button-text\">Continuit\u00e9<\/span>\n\t\t\t\t\t<\/span>\n\t\t\t\t\t<\/a>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-752f886a elementor-align-justify elementor-widget elementor-widget-button\" data-id=\"752f886a\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"button.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<div class=\"elementor-button-wrapper\">\n\t\t\t\t\t<a class=\"elementor-button elementor-button-link elementor-size-sm\" href=\"https:\/\/groupe-reussite.fr\/ressources\/cours-en-ligne-algorithmique-terminale\/\">\n\t\t\t\t\t\t<span class=\"elementor-button-content-wrapper\">\n\t\t\t\t\t\t\t\t\t<span class=\"elementor-button-text\">Algorithmique<\/span>\n\t\t\t\t\t<\/span>\n\t\t\t\t\t<\/a>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-1446b89c elementor-align-justify elementor-widget elementor-widget-button\" data-id=\"1446b89c\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"button.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<div class=\"elementor-button-wrapper\">\n\t\t\t\t\t<a class=\"elementor-button elementor-button-link elementor-size-sm\" href=\"https:\/\/groupe-reussite.fr\/ressources\/cours-en-ligne-fonction-exponentielle\/\">\n\t\t\t\t\t\t<span class=\"elementor-button-content-wrapper\">\n\t\t\t\t\t\t\t\t\t<span class=\"elementor-button-text\">Fonctions exponentielles<\/span>\n\t\t\t\t\t<\/span>\n\t\t\t\t\t<\/a>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-53f6eff0 elementor-align-justify elementor-widget elementor-widget-button\" data-id=\"53f6eff0\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"button.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<div class=\"elementor-button-wrapper\">\n\t\t\t\t\t<a class=\"elementor-button elementor-button-link elementor-size-sm\" href=\"https:\/\/groupe-reussite.fr\/ressources\/cours-en-ligne-fonction-logarithme-terminale\/\">\n\t\t\t\t\t\t<span class=\"elementor-button-content-wrapper\">\n\t\t\t\t\t\t\t\t\t<span class=\"elementor-button-text\">Fonctions logarithmes<\/span>\n\t\t\t\t\t<\/span>\n\t\t\t\t\t<\/a>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-6c1ead01 elementor-align-justify elementor-widget elementor-widget-button\" data-id=\"6c1ead01\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"button.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<div class=\"elementor-button-wrapper\">\n\t\t\t\t\t<a class=\"elementor-button elementor-button-link elementor-size-sm\" href=\"https:\/\/groupe-reussite.fr\/ressources\/cours-en-ligne-fonctions-trigonometriques-terminale\/\">\n\t\t\t\t\t\t<span class=\"elementor-button-content-wrapper\">\n\t\t\t\t\t\t\t\t\t<span class=\"elementor-button-text\">Fonctions trigonom\u00e9triques<\/span>\n\t\t\t\t\t<\/span>\n\t\t\t\t\t<\/a>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-2da72d22 elementor-align-justify elementor-widget elementor-widget-button\" data-id=\"2da72d22\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"button.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<div class=\"elementor-button-wrapper\">\n\t\t\t\t\t<a class=\"elementor-button elementor-button-link elementor-size-sm\" href=\"https:\/\/groupe-reussite.fr\/ressources\/cours-en-ligne-conditionnement-independance-terminale\/\">\n\t\t\t\t\t\t<span class=\"elementor-button-content-wrapper\">\n\t\t\t\t\t\t\t\t\t<span class=\"elementor-button-text\">Conditionnement et ind\u00e9pendance<\/span>\n\t\t\t\t\t<\/span>\n\t\t\t\t\t<\/a>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-1bb2d47c elementor-align-justify elementor-widget elementor-widget-button\" data-id=\"1bb2d47c\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"button.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<div class=\"elementor-button-wrapper\">\n\t\t\t\t\t<a class=\"elementor-button elementor-button-link elementor-size-sm\" href=\"https:\/\/groupe-reussite.fr\/ressources\/cours-en-ligne-primitives-terminale\/\">\n\t\t\t\t\t\t<span class=\"elementor-button-content-wrapper\">\n\t\t\t\t\t\t\t\t\t<span class=\"elementor-button-text\">Primitives<\/span>\n\t\t\t\t\t<\/span>\n\t\t\t\t\t<\/a>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-2c52a6c9 elementor-align-justify elementor-widget elementor-widget-button\" data-id=\"2c52a6c9\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"button.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<div class=\"elementor-button-wrapper\">\n\t\t\t\t\t<a class=\"elementor-button elementor-button-link elementor-size-sm\" href=\"https:\/\/groupe-reussite.fr\/ressources\/cours-en-ligne-derivees-convexite-terminale\/\">\n\t\t\t\t\t\t<span class=\"elementor-button-content-wrapper\">\n\t\t\t\t\t\t\t\t\t<span class=\"elementor-button-text\">D\u00e9rivation et convexit\u00e9<\/span>\n\t\t\t\t\t<\/span>\n\t\t\t\t\t<\/a>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-4f5a8891 elementor-align-justify elementor-widget elementor-widget-button\" data-id=\"4f5a8891\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"button.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<div class=\"elementor-button-wrapper\">\n\t\t\t\t\t<a class=\"elementor-button elementor-button-link elementor-size-sm\" href=\"https:\/\/groupe-reussite.fr\/ressources\/cours-en-ligne-integration-terminale\/\">\n\t\t\t\t\t\t<span class=\"elementor-button-content-wrapper\">\n\t\t\t\t\t\t\t\t\t<span class=\"elementor-button-text\">Calcul int\u00e9gral<\/span>\n\t\t\t\t\t<\/span>\n\t\t\t\t\t<\/a>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-5aaddce0 elementor-align-justify elementor-widget elementor-widget-button\" data-id=\"5aaddce0\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"button.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<div class=\"elementor-button-wrapper\">\n\t\t\t\t\t<a class=\"elementor-button elementor-button-link elementor-size-sm\" href=\"https:\/\/groupe-reussite.fr\/ressources\/cours-en-ligne-geometrie-dans-espace-terminale\/\">\n\t\t\t\t\t\t<span class=\"elementor-button-content-wrapper\">\n\t\t\t\t\t\t\t\t\t<span class=\"elementor-button-text\">Figures et \u00e9quation cart\u00e9sienne<\/span>\n\t\t\t\t\t<\/span>\n\t\t\t\t\t<\/a>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-35f6fc16 elementor-align-justify elementor-widget elementor-widget-button\" data-id=\"35f6fc16\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"button.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<div class=\"elementor-button-wrapper\">\n\t\t\t\t\t<a class=\"elementor-button elementor-button-link elementor-size-sm\" href=\"https:\/\/groupe-reussite.fr\/ressources\/cours-en-ligne-denombrement-terminale\/\">\n\t\t\t\t\t\t<span class=\"elementor-button-content-wrapper\">\n\t\t\t\t\t\t\t\t\t<span class=\"elementor-button-text\">D\u00e9nombrement<\/span>\n\t\t\t\t\t<\/span>\n\t\t\t\t\t<\/a>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-21b103a7 elementor-align-justify elementor-widget elementor-widget-button\" data-id=\"21b103a7\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"button.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<div class=\"elementor-button-wrapper\">\n\t\t\t\t\t<a class=\"elementor-button elementor-button-link elementor-size-sm\" href=\"https:\/\/groupe-reussite.fr\/ressources\/cours-en-ligne-loi-binomiale-terminale\/\">\n\t\t\t\t\t\t<span class=\"elementor-button-content-wrapper\">\n\t\t\t\t\t\t\t\t\t<span class=\"elementor-button-text\">Loi binomiale<\/span>\n\t\t\t\t\t<\/span>\n\t\t\t\t\t<\/a>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-25ac19ad elementor-align-justify elementor-widget elementor-widget-button\" data-id=\"25ac19ad\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"button.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<div class=\"elementor-button-wrapper\">\n\t\t\t\t\t<a class=\"elementor-button elementor-button-link elementor-size-sm\" href=\"https:\/\/groupe-reussite.fr\/ressources\/cours-en-ligne-variables-aleatoires-loi-grands-nombres-terminale\/\">\n\t\t\t\t\t\t<span class=\"elementor-button-content-wrapper\">\n\t\t\t\t\t\t\t\t\t<span class=\"elementor-button-text\">Lois des grands nombres<\/span>\n\t\t\t\t\t<\/span>\n\t\t\t\t\t<\/a>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-84d8e42 elementor-align-justify elementor-widget elementor-widget-button\" data-id=\"84d8e42\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"button.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<div class=\"elementor-button-wrapper\">\n\t\t\t\t\t<a class=\"elementor-button elementor-button-link elementor-size-sm\" href=\"https:\/\/groupe-reussite.fr\/ressources\/cours-en-ligne-loi-normale-fluctuation-estimation\/\">\n\t\t\t\t\t\t<span class=\"elementor-button-content-wrapper\">\n\t\t\t\t\t\t\t\t\t<span class=\"elementor-button-text\">Loi normale, intervalles, estimation<\/span>\n\t\t\t\t\t<\/span>\n\t\t\t\t\t<\/a>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-3a67a9f5 elementor-align-justify elementor-widget elementor-widget-button\" data-id=\"3a67a9f5\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"button.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<div class=\"elementor-button-wrapper\">\n\t\t\t\t\t<a class=\"elementor-button elementor-button-link elementor-size-sm\" href=\"https:\/\/groupe-reussite.fr\/ressources\/cours-en-ligne-nombres-complexes-terminale\/\">\n\t\t\t\t\t\t<span class=\"elementor-button-content-wrapper\">\n\t\t\t\t\t\t\t\t\t<span class=\"elementor-button-text\">Nombres complexes - alg\u00e8bre<\/span>\n\t\t\t\t\t<\/span>\n\t\t\t\t\t<\/a>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-1f63f3f6 elementor-align-justify elementor-widget elementor-widget-button\" data-id=\"1f63f3f6\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"button.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<div class=\"elementor-button-wrapper\">\n\t\t\t\t\t<a class=\"elementor-button elementor-button-link elementor-size-sm\" href=\"https:\/\/groupe-reussite.fr\/ressources\/cours-en-ligne-polynomes-terminale\/\">\n\t\t\t\t\t\t<span class=\"elementor-button-content-wrapper\">\n\t\t\t\t\t\t\t\t\t<span class=\"elementor-button-text\">\u00c9quations polynomiales<\/span>\n\t\t\t\t\t<\/span>\n\t\t\t\t\t<\/a>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-17f1c156 elementor-align-justify elementor-widget elementor-widget-button\" data-id=\"17f1c156\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"button.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<div class=\"elementor-button-wrapper\">\n\t\t\t\t\t<a class=\"elementor-button elementor-button-link elementor-size-sm\" href=\"https:\/\/groupe-reussite.fr\/ressources\/cours-en-ligne-complexes-terminale\/\">\n\t\t\t\t\t\t<span class=\"elementor-button-content-wrapper\">\n\t\t\t\t\t\t\t\t\t<span class=\"elementor-button-text\">G\u00e9om\u00e9trie et complexes<\/span>\n\t\t\t\t\t<\/span>\n\t\t\t\t\t<\/a>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-4d329f92 elementor-align-justify elementor-widget elementor-widget-button\" data-id=\"4d329f92\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"button.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<div class=\"elementor-button-wrapper\">\n\t\t\t\t\t<a class=\"elementor-button elementor-button-link elementor-size-sm\" href=\"https:\/\/groupe-reussite.fr\/ressources\/cours-en-ligne-arithmetique-terminale\/\">\n\t\t\t\t\t\t<span class=\"elementor-button-content-wrapper\">\n\t\t\t\t\t\t\t\t\t<span class=\"elementor-button-text\">Arithm\u00e9tique - Congruences<\/span>\n\t\t\t\t\t<\/span>\n\t\t\t\t\t<\/a>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-fbdca41 elementor-align-justify elementor-widget elementor-widget-button\" data-id=\"fbdca41\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"button.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<div class=\"elementor-button-wrapper\">\n\t\t\t\t\t<a class=\"elementor-button elementor-button-link elementor-size-sm\" href=\"https:\/\/groupe-reussite.fr\/ressources\/cours-en-ligne-pgcd-terminale\/\">\n\t\t\t\t\t\t<span class=\"elementor-button-content-wrapper\">\n\t\t\t\t\t\t\t\t\t<span class=\"elementor-button-text\">Arithm\u00e9tique - PGCD PPCM<\/span>\n\t\t\t\t\t<\/span>\n\t\t\t\t\t<\/a>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-8ef8cbc elementor-align-justify elementor-widget elementor-widget-button\" data-id=\"8ef8cbc\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"button.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<div class=\"elementor-button-wrapper\">\n\t\t\t\t\t<a class=\"elementor-button elementor-button-link elementor-size-sm\" href=\"https:\/\/groupe-reussite.fr\/ressources\/cours-en-ligne-nombres-premiers-fermat-terminale\/\">\n\t\t\t\t\t\t<span class=\"elementor-button-content-wrapper\">\n\t\t\t\t\t\t\t\t\t<span class=\"elementor-button-text\">Nombres Premiers et Fermat<\/span>\n\t\t\t\t\t<\/span>\n\t\t\t\t\t<\/a>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-1e7274d4 elementor-align-justify elementor-widget elementor-widget-button\" data-id=\"1e7274d4\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"button.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<div class=\"elementor-button-wrapper\">\n\t\t\t\t\t<a class=\"elementor-button elementor-button-link elementor-size-sm\" href=\"https:\/\/groupe-reussite.fr\/ressources\/cours-en-ligne-matrices-terminale\/\">\n\t\t\t\t\t\t<span class=\"elementor-button-content-wrapper\">\n\t\t\t\t\t\t\t\t\t<span class=\"elementor-button-text\">Matrices<\/span>\n\t\t\t\t\t<\/span>\n\t\t\t\t\t<\/a>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-d362186 elementor-align-justify elementor-widget elementor-widget-button\" data-id=\"d362186\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"button.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<div class=\"elementor-button-wrapper\">\n\t\t\t\t\t<a class=\"elementor-button elementor-button-link elementor-size-sm\" href=\"https:\/\/groupe-reussite.fr\/ressources\/cours-en-ligne-graphes-terminale\/\">\n\t\t\t\t\t\t<span class=\"elementor-button-content-wrapper\">\n\t\t\t\t\t\t\t\t\t<span class=\"elementor-button-text\">Graphes<\/span>\n\t\t\t\t\t<\/span>\n\t\t\t\t\t<\/a>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-e9acc30 elementor-align-justify elementor-widget elementor-widget-button\" data-id=\"e9acc30\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"button.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<div class=\"elementor-button-wrapper\">\n\t\t\t\t\t<a class=\"elementor-button elementor-button-link elementor-size-sm\" href=\"https:\/\/groupe-reussite.fr\/ressources\/cours-en-ligne-chaine-markov-terminale\/\">\n\t\t\t\t\t\t<span class=\"elementor-button-content-wrapper\">\n\t\t\t\t\t\t\t\t\t<span class=\"elementor-button-text\">Cha\u00eene de Markov<\/span>\n\t\t\t\t\t<\/span>\n\t\t\t\t\t<\/a>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-49866b96 elementor-align-justify elementor-widget elementor-widget-button\" data-id=\"49866b96\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"button.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<div class=\"elementor-button-wrapper\">\n\t\t\t\t\t<a class=\"elementor-button elementor-button-link elementor-size-sm\" href=\"https:\/\/groupe-reussite.fr\/nous-contacter\/\">\n\t\t\t\t\t\t<span class=\"elementor-button-content-wrapper\">\n\t\t\t\t\t\t\t\t\t<span class=\"elementor-button-text\">CONTACTEZ-NOUS<\/span>\n\t\t\t\t\t<\/span>\n\t\t\t\t\t<\/a>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<\/div>\n\t\t\n<\/div>\n<div class=\"elementor-column-wrap elementor-element-populated colone_latex\">\n<div class=\"style_pag\" style=\"color: #000; font-family: 'Lato', Sans-serif;\">\n<div class=\"elementor-text-editor elementor-clearfix\" style=\"color: #000000; font-family: Lato, sans-serif; text-align: justify;\">\n<h1 class=\"Latex_page_title\" style=\"text-align: center;\">Nombres premiers et fermat en terminale : exercices<\/h1>\n<\/div>\n<p class=\"colone_latex_ancres\" style=\"color: #000000; font-family: Lato, sans-serif; text-align: center;\"><a href=\"https:\/\/groupe-reussite.fr\/ressources\/cours-en-ligne-nombres-premiers-fermat-terminale\/\">R\u00e9sum\u00e9 de cours<\/a> <a href=\"https:\/\/groupe-reussite.fr\/ressources\/cours-en-ligne-exercices-corriges-nombres-premiers-fermat-terminale\/\">Exercices et corrig\u00e9s<\/a><\/p>\n<p class=\"colone_latex_ancres\" style=\"color: #000000; font-family: Lato, sans-serif; text-align: center;\"><a href=\"https:\/\/groupe-reussite.fr\/ressources\/cours-en-ligne-terminale-maths\/\">Cours en ligne de Maths en Terminale<\/a><\/p>\n<p style=\"color: #000000; font-family: Lato, sans-serif; text-align: justify;\">\n<p style=\"text-align: justify;\">Retrouvez les exercices corrig\u00e9s sur le chapitre des <strong>nombres premiers et fermat<\/strong> au programme de maths en Terminale en option math\u00e9matiques expertes. Le niveau est exigeant et il faut s&rsquo;entra\u00eener r\u00e9guli\u00e8rement pour r\u00e9ussir et comprendre les notions.<\/p>\n<h2 style=\"text-align: justify;\">Nombres premiers de la forme <img decoding=\"async\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-09d0b0f51e8363ff01b91e2452c7e7cc_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#52;&#92;&#44;&#32;&#110;&#32;&#43;&#32;&#49;\" title=\"Rendered by QuickLaTeX.com\" height=\"14\" width=\"52\" style=\"vertical-align: -2px;\"\/> : exercice n\u00b01<\/h2>\n<p style=\"text-align: justify;\">Soit <img decoding=\"async\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-5c53d6ebabdbcfa4e107550ea60b1b19_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#97;\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"9\" style=\"vertical-align: 0px;\"\/> un entier naturel pair non nul. Soit <img decoding=\"async\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-3bf85f1087e9fbed3a319341134ac1a2_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#112;\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"10\" style=\"vertical-align: -4px;\"\/> un nombre premier divisant <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-4d5cad73892ab14e1f479944629c5657_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#97;&#94;&#50;&#32;&#43;&#32;&#49;\" title=\"Rendered by QuickLaTeX.com\" height=\"17\" width=\"47\" style=\"vertical-align: -2px;\"\/>.<\/p>\n<ul style=\"text-align: justify;\">\n<li>Question 1 :<br \/>\n<img decoding=\"async\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-3bf85f1087e9fbed3a319341134ac1a2_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#112;\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"10\" style=\"vertical-align: -4px;\"\/> est de la forme <img decoding=\"async\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-09d0b0f51e8363ff01b91e2452c7e7cc_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#52;&#92;&#44;&#32;&#110;&#32;&#43;&#32;&#49;\" title=\"Rendered by QuickLaTeX.com\" height=\"14\" width=\"52\" style=\"vertical-align: -2px;\"\/> ou <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-3a6be84c0db5c89e8d9a4d6e05175e51_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#52;&#92;&#44;&#32;&#110;&#32;&#43;&#32;&#51;\" title=\"Rendered by QuickLaTeX.com\" height=\"14\" width=\"53\" style=\"vertical-align: -2px;\"\/> avec <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-e7d9750ef16217fec27533b7016511c6_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#110;&#32;&#92;&#105;&#110;&#32;&#92;&#109;&#97;&#116;&#104;&#98;&#98;&#123;&#78;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"45\" style=\"vertical-align: -1px;\"\/><\/li>\n<li>Question 2 :<br \/>\nOn suppose que <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-123f2657beae92e6908c67759c19334d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#112;&#32;&#61;&#32;&#52;&#32;&#92;&#44;&#32;&#110;&#32;&#43;&#32;&#51;\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"87\" style=\"vertical-align: -4px;\"\/> avec <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-e7d9750ef16217fec27533b7016511c6_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#110;&#32;&#92;&#105;&#110;&#32;&#92;&#109;&#97;&#116;&#104;&#98;&#98;&#123;&#78;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"45\" style=\"vertical-align: -1px;\"\/>.<br \/>\nAlors <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-92b37b14391b10a880b52573900aba06_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#40;&#97;&#94;&#52;&#41;&#32;&#94;&#110;&#32;&#92;&#116;&#105;&#109;&#101;&#115;&#32;&#97;&#94;&#50;&#32;&#92;&#101;&#113;&#117;&#105;&#118;&#32;&#49;&#92;&#59;&#92;&#59;&#091;&#112;&#093;\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"137\" style=\"vertical-align: -5px;\"\/>.<\/li>\n<li>Question 3 :<br \/>\nEn d\u00e9duire qu&rsquo;il existe <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-90dfe4768bfa5842274340262040a00b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#110;&#32;&#92;&#105;&#110;&#32;&#92;&#109;&#97;&#116;&#104;&#98;&#98;&#123;&#78;&#125;&#94;&#42;\" title=\"Rendered by QuickLaTeX.com\" height=\"14\" width=\"51\" style=\"vertical-align: -1px;\"\/> tel que <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-5072c975174aeac4700db4056884d54a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#112;&#32;&#61;&#32;&#52;&#92;&#44;&#32;&#110;&#32;&#43;&#32;&#49;\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"86\" style=\"vertical-align: -4px;\"\/>.<\/li>\n<\/ul>\n<p>&nbsp;<\/p>\n\t\t<div data-elementor-type=\"section\" data-elementor-id=\"84983\" class=\"elementor elementor-84983\">\n\t\t\t\t\t<div class=\"elementor-section-wrap\">\n\t\t\t\t\t\t\t\t<section class=\"has_ae_slider elementor-section elementor-inner-section elementor-element elementor-element-51d9c4d elementor-section-content-bottom full_width elementor-section-full_width elementor-section-height-min-height elementor-section-height-default ae-bg-gallery-type-default\" data-id=\"51d9c4d\" data-element_type=\"section\" data-e-type=\"section\" data-settings=\"{&quot;background_background&quot;:&quot;classic&quot;}\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-narrow\">\n\t\t\t\t\t<div class=\"has_ae_slider elementor-column elementor-col-66 elementor-inner-column elementor-element elementor-element-610eeeb9 ae-bg-gallery-type-default\" data-id=\"610eeeb9\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-5bf69eb8 elementor-widget elementor-widget-heading\" data-id=\"5bf69eb8\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<h3 class=\"elementor-heading-title elementor-size-default\">COURS DE MATHS<\/h3>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-49568da4 elementor-widget elementor-widget-heading\" data-id=\"49568da4\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<h4 class=\"elementor-heading-title elementor-size-default\">Les meilleurs professeurs particuliers<\/h4>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-1eb9e0cb elementor-widget elementor-widget-heading\" data-id=\"1eb9e0cb\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<h4 class=\"elementor-heading-title elementor-size-default\">Pour progresser et r\u00e9ussir<\/h4>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-15c3e28d elementor-align-left elementor-mobile-align-center elementor-widget elementor-widget-button\" data-id=\"15c3e28d\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"button.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<div class=\"elementor-button-wrapper\">\n\t\t\t\t\t<a class=\"elementor-button elementor-button-link elementor-size-md\" href=\"https:\/\/groupe-reussite.fr\/cours-particuliers\/maths\/tous-niveaux\/france\/\" target=\"_blank\" id=\"CTA_PRD_CP\">\n\t\t\t\t\t\t<span class=\"elementor-button-content-wrapper\">\n\t\t\t\t\t\t\t\t\t<span class=\"elementor-button-text\">Cours particuliers maths<\/span>\n\t\t\t\t\t<\/span>\n\t\t\t\t\t<\/a>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-1a5c10e7 elementor-widget elementor-widget-text-editor\" data-id=\"1a5c10e7\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<p style=\"text-align: left\"><b>Avis Google France <\/b><span style=\"color: #e5a430\"><b>\u2605\u2605\u2605\u2605\u2605<\/b><\/span><b> 4,9 sur 5<\/b><\/p>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t<div class=\"has_ae_slider elementor-column elementor-col-33 elementor-inner-column elementor-element elementor-element-6913d4fe ae-bg-gallery-type-default\" data-id=\"6913d4fe\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap\">\n\t\t\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\n<p>&nbsp;<\/p>\n<h2 style=\"text-align: justify;\">Nombres premiers et fermat : exercice n\u00b02<\/h2>\n<p style=\"text-align: justify;\">Soit <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-5793832f979c2268e3694c246d53b1bb_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#78;\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"16\" style=\"vertical-align: 0px;\"\/> un entier sup\u00e9rieur ou \u00e9gal \u00e0 2.<br \/>\nOn pose <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-59f925194c0ce8601c426337214df2bf_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#97;&#32;&#61;&#32;&#78;&#32;&#33;\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"53\" style=\"vertical-align: 0px;\"\/><\/p>\n<ul style=\"text-align: justify;\">\n<li style=\"text-align: justify;\">Question 1 :<br \/>\nMontrer qu&rsquo;il existe un nombre premier <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-17ade693ee16e43de9744ce6f42845bd_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#112;&#32;&#62;&#32;&#78;\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"50\" style=\"vertical-align: -4px;\"\/> divisant <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-69626a832f36f6f7107a1b0e5683355c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#97;&#94;&#50;&#43;&#49;\" title=\"Rendered by QuickLaTeX.com\" height=\"17\" width=\"47\" style=\"vertical-align: -2px;\"\/> de la forme <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-c85d2ad82b477a7555dd1e8dd55b9b2d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#52;&#92;&#44;&#32;&#113;&#32;&#43;&#32;&#49;\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"50\" style=\"vertical-align: -4px;\"\/> o\u00f9 <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-d9c61d832072f500029ac89e3c50dab2_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#113;&#32;&#92;&#105;&#110;&#32;&#92;&#109;&#97;&#116;&#104;&#98;&#98;&#123;&#78;&#125;&#94;&#42;\" title=\"Rendered by QuickLaTeX.com\" height=\"17\" width=\"49\" style=\"vertical-align: -4px;\"\/>.<br \/>\n(utiliser l&rsquo;exercice pr\u00e9c\u00e9dent)<\/li>\n<li>Question 2 :<br \/>\nIl existe une infinit\u00e9 de nombres premiers <img decoding=\"async\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-3bf85f1087e9fbed3a319341134ac1a2_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#112;\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"10\" style=\"vertical-align: -4px;\"\/> de la forme <img decoding=\"async\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-09d0b0f51e8363ff01b91e2452c7e7cc_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#52;&#92;&#44;&#32;&#110;&#32;&#43;&#32;&#49;\" title=\"Rendered by QuickLaTeX.com\" height=\"14\" width=\"52\" style=\"vertical-align: -2px;\"\/>.<\/li>\n<\/ul>\n<h2 style=\"text-align: justify;\">Nombres premiers et fermat : Syst\u00e8me RSA : exercice n\u00b03<\/h2>\n<p style=\"text-align: justify;\">Le nom du syst\u00e8me de cryptage RSA provient des initiales des noms de ses inventeurs am\u00e9ricains en 1977 : Ronald Rivest (informaticien), Adi Shamir (informaticien) et Leaonard Adleman (math\u00e9maticien).<\/p>\n<ul style=\"text-align: justify;\">\n<li>Partie A : Arithm\u00e9tique du syst\u00e8me RSA<\/li>\n<\/ul>\n<p style=\"text-align: justify;\">Soient <img decoding=\"async\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-3bf85f1087e9fbed3a319341134ac1a2_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#112;\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"10\" style=\"vertical-align: -4px;\"\/> et <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-ac7da57d7f507262338bb5168feb3e06_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#113;\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"8\" style=\"vertical-align: -4px;\"\/> deux nombres premiers impairs distincts.<br \/>\nOn note <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-068e95f8e70a2303473d931d3bb1f85a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#78;&#32;&#61;&#32;&#112;&#92;&#44;&#32;&#113;\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"60\" style=\"vertical-align: -4px;\"\/> et <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-92b41eb30b3226912c942d26759b08ca_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#110;&#32;&#61;&#32;&#40;&#112;&#32;&#45;&#32;&#49;&#41;&#40;&#113;&#32;&#45;&#32;&#49;&#41;\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"140\" style=\"vertical-align: -5px;\"\/>.<br \/>\nOn introduit un entier <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-41a04eeea923a1a0c28094a8a4680525_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#99;\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"8\" style=\"vertical-align: 0px;\"\/> premier avec <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-5793832f979c2268e3694c246d53b1bb_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#78;\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"16\" style=\"vertical-align: 0px;\"\/> et tel que <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-4c86d024181d97f78b15dbaaa5f388a6_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#49;&#32;&#60;&#32;&#99;&#32;&#60;&#32;&#78;\" title=\"Rendered by QuickLaTeX.com\" height=\"14\" width=\"79\" style=\"vertical-align: -2px;\"\/>.<\/p>\n<ul style=\"text-align: justify;\">\n<li>Question 1 :<br \/>\nMontrer qu&rsquo;il existe un entier <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-4e8716946f6a868f015e0d62f28bc540_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#100;\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"10\" style=\"vertical-align: 0px;\"\/> unique tel que : <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-6e53d9327eb850237b9c64b41515b330_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#49;&#32;&#92;&#108;&#101;&#113;&#115;&#108;&#97;&#110;&#116;&#32;&#100;&#32;&#60;&#32;&#110;\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"75\" style=\"vertical-align: -3px;\"\/> et <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-fc53a4c0b63e623c74528d138b3ff06e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#99;&#92;&#44;&#32;&#100;&#32;&#92;&#101;&#113;&#117;&#105;&#118;&#32;&#49;&#92;&#59;&#92;&#59;&#32;&#091;&#110;&#093;\" title=\"Rendered by QuickLaTeX.com\" height=\"18\" width=\"81\" style=\"vertical-align: -5px;\"\/>.<\/li>\n<li>Question 2 :<br \/>\nLe but de cette question est de prouver que pour tout <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-6d4d763e4f3733ae9f5d768379f2e45d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#97;&#32;&#92;&#105;&#110;&#32;&#92;&#109;&#97;&#116;&#104;&#98;&#98;&#123;&#78;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"44\" style=\"vertical-align: -1px;\"\/> et <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-bd5717b0ae19969e8de43b1ed2a0e129_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#97;&#32;&#60;&#32;&#78;\" title=\"Rendered by QuickLaTeX.com\" height=\"14\" width=\"49\" style=\"vertical-align: -2px;\"\/> ,<img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-cefb357f593dac2609a95125106ef9b3_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#113;&#113;&#117;&#97;&#100;&#32;&#92;&#113;&#113;&#117;&#97;&#100;&#32;&#97;&#94;&#123;&#99;&#92;&#44;&#100;&#125;&#32;&#92;&#101;&#113;&#117;&#105;&#118;&#32;&#97;&#32;&#92;&#59;&#92;&#59;&#32;&#091;&#78;&#093;&#46;\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"98\" style=\"vertical-align: -5px;\"\/><br \/>\nOn remarque que la relation est \u00e9vidente si <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-865ac3c5901b964602ae127e68d4e48a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#97;&#32;&#61;&#32;&#48;\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"42\" style=\"vertical-align: 0px;\"\/>.<br \/>\nDans la suite, on suppose <img decoding=\"async\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-5c53d6ebabdbcfa4e107550ea60b1b19_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#97;\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"9\" style=\"vertical-align: 0px;\"\/> non nul.a) Dans le cas o\u00f9 <img decoding=\"async\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-5c53d6ebabdbcfa4e107550ea60b1b19_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#97;\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"9\" style=\"vertical-align: 0px;\"\/> et <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-5793832f979c2268e3694c246d53b1bb_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#78;\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"16\" style=\"vertical-align: 0px;\"\/> sont premiers entre eux, montrer que <img decoding=\"async\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-3bf85f1087e9fbed3a319341134ac1a2_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#112;\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"10\" style=\"vertical-align: -4px;\"\/> (puis <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-ac7da57d7f507262338bb5168feb3e06_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#113;\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"8\" style=\"vertical-align: -4px;\"\/>) divise <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-f89fe57d4be591d100d0a2f6eb02d509_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#97;&#32;&#94;&#123;&#99;&#32;&#92;&#44;&#32;&#100;&#125;&#32;&#45;&#97;\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"56\" style=\"vertical-align: 0px;\"\/>.<br \/>\nConclure que l&rsquo;affirmation propos\u00e9e est juste.<\/li>\n<\/ul>\n<h2 style=\"text-align: justify;\">Correction exercice n\u00b01 : Nombres premiers de la forme <img decoding=\"async\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-09d0b0f51e8363ff01b91e2452c7e7cc_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#52;&#92;&#44;&#32;&#110;&#32;&#43;&#32;&#49;\" title=\"Rendered by QuickLaTeX.com\" height=\"14\" width=\"52\" style=\"vertical-align: -2px;\"\/>.<\/h2>\n<ul style=\"text-align: justify;\">\n<li>Question 1 : <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-4d5cad73892ab14e1f479944629c5657_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#97;&#94;&#50;&#32;&#43;&#32;&#49;\" title=\"Rendered by QuickLaTeX.com\" height=\"17\" width=\"47\" style=\"vertical-align: -2px;\"\/> est impair. Si <img decoding=\"async\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-3bf85f1087e9fbed3a319341134ac1a2_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#112;\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"10\" style=\"vertical-align: -4px;\"\/> est un nombre premier divisant <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-4d5cad73892ab14e1f479944629c5657_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#97;&#94;&#50;&#32;&#43;&#32;&#49;\" title=\"Rendered by QuickLaTeX.com\" height=\"17\" width=\"47\" style=\"vertical-align: -2px;\"\/>, <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-90cf5de9d59b60784b7fc94485f50079_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#112;&#32;&#92;&#110;&#101;&#113;&#32;&#50;\" title=\"Rendered by QuickLaTeX.com\" height=\"17\" width=\"42\" style=\"vertical-align: -4px;\"\/>, alors <img decoding=\"async\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-3bf85f1087e9fbed3a319341134ac1a2_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#112;\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"10\" style=\"vertical-align: -4px;\"\/> est impair donc s&rsquo;\u00e9crit <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-9ef5cbab8e6f6f7c80e7f058f5133bf3_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#52;&#92;&#44;&#110;&#32;&#43;&#32;&#49;\" title=\"Rendered by QuickLaTeX.com\" height=\"14\" width=\"52\" style=\"vertical-align: -2px;\"\/> ou <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-d7625935cf8ce6ece79ff1e49514e96d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#52;&#92;&#44;&#110;&#32;&#43;&#32;&#51;\" title=\"Rendered by QuickLaTeX.com\" height=\"14\" width=\"53\" style=\"vertical-align: -2px;\"\/> avec <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-e7d9750ef16217fec27533b7016511c6_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#110;&#32;&#92;&#105;&#110;&#32;&#92;&#109;&#97;&#116;&#104;&#98;&#98;&#123;&#78;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"45\" style=\"vertical-align: -1px;\"\/>.<\/li>\n<li>Question 2 : Si <img decoding=\"async\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-3bf85f1087e9fbed3a319341134ac1a2_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#112;\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"10\" style=\"vertical-align: -4px;\"\/> divisait <img decoding=\"async\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-5c53d6ebabdbcfa4e107550ea60b1b19_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#97;\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"9\" style=\"vertical-align: 0px;\"\/>, alors il diviserait <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-1f4ce15ea81021b45d806b2e6249612a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#97;&#32;&#94;&#50;\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"16\" style=\"vertical-align: 0px;\"\/>, donc il diviserait <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-f96f04cdcaac2ccbd1c93722d9d3ddcd_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#40;&#97;&#94;&#50;&#32;&#43;&#32;&#49;&#41;&#32;&#45;&#32;&#97;&#94;&#50;&#32;&#61;&#32;&#49;\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"131\" style=\"vertical-align: -5px;\"\/>, ce qui est impossible.<br \/>\n<img decoding=\"async\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-3bf85f1087e9fbed3a319341134ac1a2_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#112;\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"10\" style=\"vertical-align: -4px;\"\/> est un nombre premier qui ne divise pas <img decoding=\"async\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-5c53d6ebabdbcfa4e107550ea60b1b19_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#97;\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"9\" style=\"vertical-align: 0px;\"\/>, par le th\u00e9or\u00e8me de Fermat, <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-e2714364e36dbf25096b9736a4c54421_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#97;&#32;&#94;&#123;&#112;&#32;&#45;&#32;&#49;&#125;&#32;&#92;&#101;&#113;&#117;&#105;&#118;&#32;&#49;&#32;&#92;&#59;&#32;&#92;&#59;&#091;&#112;&#093;\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"94\" style=\"vertical-align: -5px;\"\/> soit <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-17de4182b83141fe4dc557fc63e4c394_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#97;&#32;&#94;&#123;&#52;&#32;&#110;&#32;&#43;&#32;&#50;&#125;&#32;&#92;&#101;&#113;&#117;&#105;&#118;&#32;&#49;&#32;&#92;&#59;&#92;&#59;&#32;&#091;&#112;&#093;\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"102\" style=\"vertical-align: -5px;\"\/> car <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-91d63aa28c377734b3e551dbf10628b0_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#112;&#32;&#45;&#32;&#49;&#32;&#61;&#32;&#52;&#92;&#44;&#32;&#110;&#32;&#43;&#32;&#50;\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"116\" style=\"vertical-align: -4px;\"\/>.<\/li>\n<li>Question 3 : On raisonne par l&rsquo;absurde et on suppose que <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-91175bbb2009d0cddd7c8e9a7cecb282_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#112;&#32;&#61;&#32;&#52;&#92;&#44;&#32;&#110;&#32;&#43;&#32;&#51;\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"87\" style=\"vertical-align: -4px;\"\/> o\u00f9 <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-e7d9750ef16217fec27533b7016511c6_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#110;&#32;&#92;&#105;&#110;&#32;&#92;&#109;&#97;&#116;&#104;&#98;&#98;&#123;&#78;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"45\" style=\"vertical-align: -1px;\"\/>.<img decoding=\"async\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-3bf85f1087e9fbed3a319341134ac1a2_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#112;\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"10\" style=\"vertical-align: -4px;\"\/> est un nombre premier divisant <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-4d5cad73892ab14e1f479944629c5657_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#97;&#94;&#50;&#32;&#43;&#32;&#49;\" title=\"Rendered by QuickLaTeX.com\" height=\"17\" width=\"47\" style=\"vertical-align: -2px;\"\/>.<br \/>\nOn a vu en question 2 que <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-f6d5cad48eb1a5e1622b88a1d5794e4d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#113;&#113;&#117;&#97;&#100;&#32;&#40;&#97;&#94;&#52;&#41;&#32;&#94;&#110;&#32;&#92;&#116;&#105;&#109;&#101;&#115;&#32;&#97;&#94;&#50;&#32;&#92;&#101;&#113;&#117;&#105;&#118;&#32;&#49;&#92;&#59;&#92;&#59;&#091;&#112;&#093;\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"138\" style=\"vertical-align: -5px;\"\/>. (*)<img decoding=\"async\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-3bf85f1087e9fbed3a319341134ac1a2_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#112;\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"10\" style=\"vertical-align: -4px;\"\/> divise <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-4e515ab6fc511babc1bbc8e466c64829_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#97;&#32;&#94;&#50;&#32;&#43;&#32;&#49;\" title=\"Rendered by QuickLaTeX.com\" height=\"17\" width=\"47\" style=\"vertical-align: -2px;\"\/>, donc <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-ade1009b584c5360c37924a5e5e367e2_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#97;&#32;&#94;&#50;&#32;&#92;&#101;&#113;&#117;&#105;&#118;&#32;&#45;&#32;&#49;&#32;&#92;&#59;&#92;&#59;&#091;&#112;&#093;\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"90\" style=\"vertical-align: -5px;\"\/><br \/>\npuis <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-ee4c86f3de714d286323ca9ef0f9943c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#40;&#97;&#32;&#94;&#50;&#41;&#32;&#94;&#50;&#32;&#92;&#101;&#113;&#117;&#105;&#118;&#32;&#49;&#32;&#92;&#59;&#92;&#59;&#091;&#112;&#093;\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"97\" style=\"vertical-align: -5px;\"\/><br \/>\net <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-eb507e85b0ff7a2c6946c0145a1aa2b1_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#40;&#97;&#94;&#52;&#41;&#32;&#94;&#110;&#32;&#92;&#116;&#105;&#109;&#101;&#115;&#32;&#97;&#94;&#50;&#32;&#92;&#101;&#113;&#117;&#105;&#118;&#32;&#49;&#32;&#92;&#116;&#105;&#109;&#101;&#115;&#32;&#40;&#45;&#49;&#41;&#32;&#92;&#59;&#92;&#59;&#091;&#112;&#093;\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"195\" style=\"vertical-align: -5px;\"\/>.En utilisant (*), <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-25a2fd316b67fc3474c82974d9c9a9a5_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#49;&#32;&#92;&#101;&#113;&#117;&#105;&#118;&#32;&#45;&#32;&#49;&#32;&#92;&#59;&#92;&#59;&#32;&#091;&#112;&#093;\" title=\"Rendered by QuickLaTeX.com\" height=\"18\" width=\"81\" style=\"vertical-align: -5px;\"\/>, donc <img decoding=\"async\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-3bf85f1087e9fbed3a319341134ac1a2_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#112;\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"10\" style=\"vertical-align: -4px;\"\/> divise <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-e584dd0bab4e6c8efc164939c28db757_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#50;\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"8\" style=\"vertical-align: 0px;\"\/> ce qui est exclu.<br \/>\nOn aboutit \u00e0 une contradiction.Si <img decoding=\"async\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-3bf85f1087e9fbed3a319341134ac1a2_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#112;\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"10\" style=\"vertical-align: -4px;\"\/> est un nombre premier qui divise <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-4e515ab6fc511babc1bbc8e466c64829_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#97;&#32;&#94;&#50;&#32;&#43;&#32;&#49;\" title=\"Rendered by QuickLaTeX.com\" height=\"17\" width=\"47\" style=\"vertical-align: -2px;\"\/>, alors il existe <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-90dfe4768bfa5842274340262040a00b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#110;&#32;&#92;&#105;&#110;&#32;&#92;&#109;&#97;&#116;&#104;&#98;&#98;&#123;&#78;&#125;&#94;&#42;\" title=\"Rendered by QuickLaTeX.com\" height=\"14\" width=\"51\" style=\"vertical-align: -1px;\"\/> tel que <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-1457424949a2963c2c3185a08a65f3eb_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#112;&#32;&#61;&#32;&#52;&#32;&#92;&#44;&#32;&#110;&#32;&#43;&#32;&#49;\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"86\" style=\"vertical-align: -4px;\"\/>.<\/li>\n<\/ul>\n<h2 style=\"text-align: justify;\">Correction exercice n\u00b02 : Nombres premiers et fermat<\/h2>\n<ul style=\"text-align: justify;\">\n<li style=\"text-align: justify;\">Question 1 : <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-f113f352168d3b16a8f3e8b41e919e16_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#97;&#115;&#116;\" title=\"Rendered by QuickLaTeX.com\" height=\"9\" width=\"7\" style=\"vertical-align: 0px;\"\/> <img decoding=\"async\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-5c53d6ebabdbcfa4e107550ea60b1b19_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#97;\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"9\" style=\"vertical-align: 0px;\"\/> est un entier pair au moins \u00e9gal \u00e0 2. <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-2a7b8c4b232bf756c48d243b5754062c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#97;&#32;&#94;&#50;&#32;&#43;&#32;&#49;&#32;&#92;&#103;&#101;&#113;&#115;&#108;&#97;&#110;&#116;&#32;&#53;\" title=\"Rendered by QuickLaTeX.com\" height=\"18\" width=\"79\" style=\"vertical-align: -3px;\"\/>, l&rsquo;entier impair <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-4d5cad73892ab14e1f479944629c5657_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#97;&#94;&#50;&#32;&#43;&#32;&#49;\" title=\"Rendered by QuickLaTeX.com\" height=\"17\" width=\"47\" style=\"vertical-align: -2px;\"\/> admet un diviseur premier <img decoding=\"async\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-3bf85f1087e9fbed3a319341134ac1a2_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#112;\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"10\" style=\"vertical-align: -4px;\"\/>.Ce diviseur est impair donc au moins \u00e9gal \u00e0 3. <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-f113f352168d3b16a8f3e8b41e919e16_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#97;&#115;&#116;\" title=\"Rendered by QuickLaTeX.com\" height=\"9\" width=\"7\" style=\"vertical-align: 0px;\"\/> Si l&rsquo;on avait <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-eb3216f12fac02f390d8631b87cf75ae_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#112;&#32;&#92;&#108;&#101;&#113;&#115;&#108;&#97;&#110;&#116;&#32;&#78;\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"50\" style=\"vertical-align: -4px;\"\/>, <img decoding=\"async\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-3bf85f1087e9fbed3a319341134ac1a2_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#112;\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"10\" style=\"vertical-align: -4px;\"\/> diviserait <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-26483fc4ebdf5a9fd06bee02de9a01d9_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#97;&#32;&#61;&#32;&#78;&#33;&#92;&#44;\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"53\" style=\"vertical-align: 0px;\"\/>, donc <img decoding=\"async\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-3bf85f1087e9fbed3a319341134ac1a2_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#112;\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"10\" style=\"vertical-align: -4px;\"\/> diviserait <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-062e6b90a0da4787460d4a5d0845624c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#97;&#94;&#50;\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"16\" style=\"vertical-align: 0px;\"\/>, alors <img decoding=\"async\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-3bf85f1087e9fbed3a319341134ac1a2_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#112;\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"10\" style=\"vertical-align: -4px;\"\/> diviserait <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-41c959312c72cc3e36f28eaf3e489bd8_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#49;&#32;&#61;&#32;&#40;&#97;&#94;&#50;&#32;&#43;&#32;&#49;&#41;&#32;&#45;&#32;&#97;&#94;&#50;\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"131\" style=\"vertical-align: -5px;\"\/> ce qui est impossible. On a prouv\u00e9 que <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-17ade693ee16e43de9744ce6f42845bd_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#112;&#32;&#62;&#32;&#78;\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"50\" style=\"vertical-align: -4px;\"\/>. <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-f113f352168d3b16a8f3e8b41e919e16_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#97;&#115;&#116;\" title=\"Rendered by QuickLaTeX.com\" height=\"9\" width=\"7\" style=\"vertical-align: 0px;\"\/> En utilisant l&rsquo;exercice pr\u00e9c\u00e9dent, <img decoding=\"async\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-3bf85f1087e9fbed3a319341134ac1a2_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#112;\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"10\" style=\"vertical-align: -4px;\"\/> divise <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-4d5cad73892ab14e1f479944629c5657_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#97;&#94;&#50;&#32;&#43;&#32;&#49;\" title=\"Rendered by QuickLaTeX.com\" height=\"17\" width=\"47\" style=\"vertical-align: -2px;\"\/> donc <img decoding=\"async\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-3bf85f1087e9fbed3a319341134ac1a2_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#112;\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"10\" style=\"vertical-align: -4px;\"\/> est de la forme <img decoding=\"async\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-09d0b0f51e8363ff01b91e2452c7e7cc_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#52;&#92;&#44;&#32;&#110;&#32;&#43;&#32;&#49;\" title=\"Rendered by QuickLaTeX.com\" height=\"14\" width=\"52\" style=\"vertical-align: -2px;\"\/> o\u00f9 <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-90dfe4768bfa5842274340262040a00b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#110;&#32;&#92;&#105;&#110;&#32;&#92;&#109;&#97;&#116;&#104;&#98;&#98;&#123;&#78;&#125;&#94;&#42;\" title=\"Rendered by QuickLaTeX.com\" height=\"14\" width=\"51\" style=\"vertical-align: -1px;\"\/>.<\/li>\n<li>Question 2 : On suppose que le nombre d&rsquo;entiers premiers de la forme <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-5b2324c7f2fc06345c8c1860fa4e28ae_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#52;&#32;&#92;&#44;&#110;&#32;&#43;&#32;&#49;\" title=\"Rendered by QuickLaTeX.com\" height=\"14\" width=\"52\" style=\"vertical-align: -2px;\"\/> est fini, on les note <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-d66c260f9d71b587ca882d810bf1b3d4_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#52;&#92;&#44;&#32;&#110;&#95;&#49;&#32;&#43;&#32;&#49;&#92;&#44;&#44;&#92;&#44;&#32;&#92;&#99;&#100;&#111;&#116;&#115;&#32;&#92;&#44;&#44;&#92;&#44;&#32;&#52;&#32;&#92;&#44;&#32;&#110;&#32;&#95;&#32;&#107;&#32;&#43;&#32;&#49;\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"172\" style=\"vertical-align: -4px;\"\/> avec <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-04a0a2899db8f4ef42b14eb0148e1775_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#110;&#95;&#49;&#60;&#32;&#110;&#95;&#50;&#32;&#60;&#32;&#92;&#99;&#100;&#111;&#116;&#115;&#32;&#60;&#32;&#110;&#95;&#107;&#92;&#44;\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"146\" style=\"vertical-align: -3px;\"\/>. Soit <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-e32e4f0323055754fb55889c275a16c4_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#78;&#32;&#61;&#32;&#52;&#92;&#44;&#32;&#110;&#95;&#107;&#32;&#43;&#52;\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"101\" style=\"vertical-align: -3px;\"\/>. <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-5793832f979c2268e3694c246d53b1bb_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#78;\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"16\" style=\"vertical-align: 0px;\"\/> est pair. Par la question pr\u00e9c\u00e9dente, si <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-26483fc4ebdf5a9fd06bee02de9a01d9_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#97;&#32;&#61;&#32;&#78;&#33;&#92;&#44;\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"53\" style=\"vertical-align: 0px;\"\/>, <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-6c73125e5844392359fe380a7d65f75f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#97;&#94;&#50;&#32;&#43;&#49;\" title=\"Rendered by QuickLaTeX.com\" height=\"17\" width=\"47\" style=\"vertical-align: -2px;\"\/> admet un diviseur premier <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-17ade693ee16e43de9744ce6f42845bd_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#112;&#32;&#62;&#32;&#78;\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"50\" style=\"vertical-align: -4px;\"\/> de la forme <img decoding=\"async\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-09d0b0f51e8363ff01b91e2452c7e7cc_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#52;&#92;&#44;&#32;&#110;&#32;&#43;&#32;&#49;\" title=\"Rendered by QuickLaTeX.com\" height=\"14\" width=\"52\" style=\"vertical-align: -2px;\"\/>. v\u00e9rifiant <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-36ebc68c090c494d7ddf96f64ae305dd_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#52;&#32;&#92;&#44;&#32;&#110;&#32;&#43;&#32;&#49;&#32;&#62;&#32;&#52;&#32;&#110;&#32;&#95;&#107;&#32;&#43;&#52;\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"135\" style=\"vertical-align: -3px;\"\/>, donc <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-2b34bdc789017fe23571987489424c31_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#110;&#32;&#62;&#32;&#110;&#32;&#95;&#32;&#107;&#32;&#43;&#32;&#51;&#47;&#52;\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"102\" style=\"vertical-align: -5px;\"\/> et comme ce sont des entiers, <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-5db152e4a532901460486bde351af331_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#110;&#32;&#92;&#103;&#101;&#113;&#115;&#108;&#97;&#110;&#116;&#32;&#110;&#32;&#95;&#107;&#32;&#43;&#32;&#49;\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"83\" style=\"vertical-align: -3px;\"\/>. On a donc obtenu un nombre premier de la forme <img decoding=\"async\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-09d0b0f51e8363ff01b91e2452c7e7cc_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#52;&#92;&#44;&#32;&#110;&#32;&#43;&#32;&#49;\" title=\"Rendered by QuickLaTeX.com\" height=\"14\" width=\"52\" style=\"vertical-align: -2px;\"\/> diff\u00e9rent des <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-3422b6bb5c160593658b7c39425d9880_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#107;\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"9\" style=\"vertical-align: 0px;\"\/> nombres premiers de la forme <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-375d3ade2969c34100cb7f8aff3e13a8_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#52;&#92;&#44;&#32;&#110;&#95;&#105;&#32;&#43;&#32;&#49;\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"58\" style=\"vertical-align: -3px;\"\/>. On aboutit \u00e0 une contradiction. Le nombre d&rsquo;entiers premiers de la forme <img decoding=\"async\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-09d0b0f51e8363ff01b91e2452c7e7cc_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#52;&#92;&#44;&#32;&#110;&#32;&#43;&#32;&#49;\" title=\"Rendered by QuickLaTeX.com\" height=\"14\" width=\"52\" style=\"vertical-align: -2px;\"\/> est infini.<\/li>\n<\/ul>\n<h2 style=\"text-align: justify;\">Correction exercice n\u00b03 : Nombres premiers et fermat : Syst\u00e8me RSA<\/h2>\n<ul style=\"text-align: justify;\">\n<li>Question 1 :<img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-2b6e225d778ccd32cb2bd9cc4eaead9a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#98;&#117;&#108;&#108;&#101;&#116;\" title=\"Rendered by QuickLaTeX.com\" height=\"7\" width=\"8\" style=\"vertical-align: 1px;\"\/> Existence<br \/>\nComme <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-41a04eeea923a1a0c28094a8a4680525_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#99;\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"8\" style=\"vertical-align: 0px;\"\/> et <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-b170995d512c659d8668b4e42e1fef6b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#110;\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"11\" style=\"vertical-align: 0px;\"\/> sont premiers entre eux, il existe <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-43fe27dc3e528266a619764d90fce60b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#117;\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"10\" style=\"vertical-align: 0px;\"\/> et <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-473045c1831125f5024278ec61eff864_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#118;&#32;&#92;&#105;&#110;&#32;&#92;&#109;&#97;&#116;&#104;&#98;&#98;&#123;&#90;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"43\" style=\"vertical-align: -1px;\"\/> tels que <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-bcb6368c856b7c8bd4f53fe01c0e6ed5_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#99;&#32;&#92;&#44;&#32;&#117;&#32;&#43;&#32;&#110;&#32;&#92;&#44;&#32;&#118;&#32;&#61;&#32;&#49;\" title=\"Rendered by QuickLaTeX.com\" height=\"14\" width=\"97\" style=\"vertical-align: -2px;\"\/> alors <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-3e1da0519f8bf10449ed5d45f72288be_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#99;&#92;&#44;&#32;&#117;&#32;&#61;&#32;&#49;&#32;&#45;&#32;&#110;&#32;&#92;&#44;&#32;&#118;\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"98\" style=\"vertical-align: 0px;\"\/>, donc <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-45c84646848cdd523b3da1660ba63da9_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#99;&#92;&#44;&#32;&#117;&#32;&#92;&#101;&#113;&#117;&#105;&#118;&#32;&#49;&#92;&#59;&#92;&#59;&#32;&#091;&#110;&#093;\" title=\"Rendered by QuickLaTeX.com\" height=\"18\" width=\"82\" style=\"vertical-align: -5px;\"\/>.Par division euclidienne de <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-43fe27dc3e528266a619764d90fce60b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#117;\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"10\" style=\"vertical-align: 0px;\"\/> par <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-b170995d512c659d8668b4e42e1fef6b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#110;\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"11\" style=\"vertical-align: 0px;\"\/>, il existe <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-0dde7aa632268baecf0100a1afeeaff3_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#113;&#32;&#92;&#105;&#110;&#32;&#92;&#109;&#97;&#116;&#104;&#98;&#98;&#123;&#90;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"42\" style=\"vertical-align: -4px;\"\/> et <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-57b564fab3eec100e7b18fd6182584f6_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#100;&#32;&#92;&#105;&#110;&#32;&#091;&#091;&#32;&#48;&#32;&#44;&#32;&#110;&#32;&#45;&#32;&#49;&#093;&#093;\" title=\"Rendered by QuickLaTeX.com\" height=\"18\" width=\"107\" style=\"vertical-align: -5px;\"\/> tels que<br \/>\n<img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-b55203b97c3508c00c4334264404a232_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#117;&#32;&#61;&#32;&#110;&#32;&#92;&#44;&#32;&#113;&#32;&#43;&#32;&#100;\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"88\" style=\"vertical-align: -4px;\"\/>, donc <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-7bc637f94f8ea70e2c47539229088f20_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#117;&#32;&#92;&#101;&#113;&#117;&#105;&#118;&#32;&#100;&#32;&#92;&#59;&#92;&#32;&#091;&#110;&#093;\" title=\"Rendered by QuickLaTeX.com\" height=\"18\" width=\"73\" style=\"vertical-align: -5px;\"\/><br \/>\npuis <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-4ac8d890811c0142c79a4b74be5e5c35_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#99;&#32;&#92;&#44;&#32;&#117;&#32;&#92;&#101;&#113;&#117;&#105;&#118;&#32;&#99;&#32;&#92;&#44;&#32;&#100;&#32;&#92;&#59;&#32;&#92;&#59;&#32;&#091;&#110;&#093;\" title=\"Rendered by QuickLaTeX.com\" height=\"18\" width=\"93\" style=\"vertical-align: -5px;\"\/> donc <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-fc53a4c0b63e623c74528d138b3ff06e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#99;&#92;&#44;&#32;&#100;&#32;&#92;&#101;&#113;&#117;&#105;&#118;&#32;&#49;&#92;&#59;&#92;&#59;&#32;&#091;&#110;&#093;\" title=\"Rendered by QuickLaTeX.com\" height=\"18\" width=\"81\" style=\"vertical-align: -5px;\"\/>.On ne peut pas avoir <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-0303f3b64df1e3377e861c1ff4550c7d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#100;&#32;&#61;&#32;&#48;\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"42\" style=\"vertical-align: 0px;\"\/> car on aurait <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-c60c8993d5de021a4026c7e4501b424f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#48;&#32;&#92;&#101;&#113;&#117;&#105;&#118;&#32;&#49;&#32;&#92;&#59;&#92;&#59;&#32;&#091;&#110;&#093;\" title=\"Rendered by QuickLaTeX.com\" height=\"18\" width=\"70\" style=\"vertical-align: -5px;\"\/>. Alors <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-6e53d9327eb850237b9c64b41515b330_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#49;&#32;&#92;&#108;&#101;&#113;&#115;&#108;&#97;&#110;&#116;&#32;&#100;&#32;&#60;&#32;&#110;\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"75\" style=\"vertical-align: -3px;\"\/><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-2b6e225d778ccd32cb2bd9cc4eaead9a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#98;&#117;&#108;&#108;&#101;&#116;\" title=\"Rendered by QuickLaTeX.com\" height=\"7\" width=\"8\" style=\"vertical-align: 1px;\"\/> Il reste \u00e0 prouver l&rsquo;unicit\u00e9<br \/>\nSi <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-52b9652ec63119b4d032c970e5f38a35_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#100;&#39;&#32;&#92;&#105;&#110;&#32;&#92;&#109;&#97;&#116;&#104;&#98;&#98;&#123;&#78;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"48\" style=\"vertical-align: -1px;\"\/> v\u00e9rifie<br \/>\n<img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-644c3886710a7f34d5c59d8af6f897e0_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#113;&#113;&#117;&#97;&#100;&#32;&#49;&#32;&#92;&#108;&#101;&#113;&#115;&#108;&#97;&#110;&#116;&#32;&#100;&#39;&#32;&#60;&#32;&#110;\" title=\"Rendered by QuickLaTeX.com\" height=\"17\" width=\"80\" style=\"vertical-align: -3px;\"\/> et <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-0ff15deceafbe0b8e99e0ca9c76531f7_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#99;&#92;&#44;&#32;&#100;&#39;&#32;&#92;&#101;&#113;&#117;&#105;&#118;&#32;&#49;&#32;&#92;&#59;&#92;&#59;&#32;&#091;&#110;&#093;\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"86\" style=\"vertical-align: -5px;\"\/><br \/>\nalors <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-5ed73b92a7700b84a8516c48e5b421a6_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#99;&#92;&#44;&#32;&#40;&#100;&#32;&#45;&#32;&#100;&#39;&#41;&#92;&#101;&#113;&#117;&#105;&#118;&#32;&#48;&#32;&#92;&#59;&#92;&#59;&#32;&#091;&#110;&#093;\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"130\" style=\"vertical-align: -5px;\"\/>.<br \/>\n<img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-b170995d512c659d8668b4e42e1fef6b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#110;\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"11\" style=\"vertical-align: 0px;\"\/> divise <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-51c58dda0803c2582e2f2cab08cd2a1e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#99;&#92;&#44;&#32;&#40;&#100;&#32;&#45;&#32;&#100;&#39;&#41;\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"68\" style=\"vertical-align: -5px;\"\/>, <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-b170995d512c659d8668b4e42e1fef6b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#110;\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"11\" style=\"vertical-align: 0px;\"\/> et <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-41a04eeea923a1a0c28094a8a4680525_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#99;\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"8\" style=\"vertical-align: 0px;\"\/> sont premiers entre eux, donc <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-b170995d512c659d8668b4e42e1fef6b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#110;\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"11\" style=\"vertical-align: 0px;\"\/> divise <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-64e541e7a0bbe7f5648124ec4db56fda_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#100;&#32;&#45;&#32;&#100;&#39;\" title=\"Rendered by QuickLaTeX.com\" height=\"14\" width=\"44\" style=\"vertical-align: 0px;\"\/> (par le th\u00e9or\u00e8me de Gauss).<br \/>\nIl existe <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-874615e10b570fe7644178b581daef7f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#107;&#32;&#92;&#105;&#110;&#32;&#92;&#109;&#97;&#116;&#104;&#98;&#98;&#123;&#90;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"14\" width=\"43\" style=\"vertical-align: -1px;\"\/> tel que <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-f596686fde5765ff33fd39d235d392d4_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#100;&#32;&#45;&#32;&#100;&#39;&#32;&#61;&#32;&#107;&#92;&#44;&#32;&#110;\" title=\"Rendered by QuickLaTeX.com\" height=\"14\" width=\"92\" style=\"vertical-align: 0px;\"\/><br \/>\n<img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-05ec9a8e51c4c5640caa4d7505468f8e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#45;&#32;&#110;&#32;&#60;&#32;&#100;&#32;&#45;&#32;&#100;&#39;&#32;&#60;&#32;&#110;\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"126\" style=\"vertical-align: -2px;\"\/> soit <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-ea94e0d21a253043e17474ca6f5283ba_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#45;&#32;&#110;&#32;&#60;&#32;&#107;&#92;&#44;&#110;&#32;&#60;&#32;&#110;\" title=\"Rendered by QuickLaTeX.com\" height=\"14\" width=\"105\" style=\"vertical-align: -2px;\"\/><br \/>\ndonc <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-c3180e5a60ff897b72e23b305f87b4b2_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#107;&#32;&#61;&#32;&#48;\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"42\" style=\"vertical-align: 0px;\"\/> et <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-25159ce7ae90b350b6d84dbc49e9a983_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#100;&#32;&#45;&#32;&#100;&#39;&#32;&#61;&#32;&#48;\" title=\"Rendered by QuickLaTeX.com\" height=\"14\" width=\"77\" style=\"vertical-align: 0px;\"\/>.<br \/>\nOn a prouv\u00e9 l&rsquo;unicit\u00e9 de <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-4e8716946f6a868f015e0d62f28bc540_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#100;\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"10\" style=\"vertical-align: 0px;\"\/>.<\/li>\n<li>Question 2 :On rappelle <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-5e92a3636411296ecfcbed1c62efe803_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#99;&#32;&#92;&#44;&#32;&#100;&#32;&#92;&#101;&#113;&#117;&#105;&#118;&#32;&#49;&#32;&#92;&#58;&#32;&#92;&#58;&#32;&#110;\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"71\" style=\"vertical-align: 0px;\"\/> donc il existe <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-874615e10b570fe7644178b581daef7f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#107;&#32;&#92;&#105;&#110;&#32;&#92;&#109;&#97;&#116;&#104;&#98;&#98;&#123;&#90;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"14\" width=\"43\" style=\"vertical-align: -1px;\"\/> tel que<br \/>\n<img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-27afd378006894b6c519da8f4c878100_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#113;&#117;&#97;&#100;&#32;&#99;&#92;&#44;&#32;&#100;&#32;&#61;&#32;&#49;&#32;&#43;&#32;&#107;&#32;&#92;&#44;&#32;&#110;&#32;&#61;&#32;&#49;&#32;&#43;&#32;&#107;&#92;&#44;&#40;&#112;&#32;&#45;&#32;&#49;&#41;&#32;&#92;&#44;&#40;&#113;&#45;&#32;&#49;&#41;\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"272\" style=\"vertical-align: -5px;\"\/>On suppose que <img decoding=\"async\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-5c53d6ebabdbcfa4e107550ea60b1b19_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#97;\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"9\" style=\"vertical-align: 0px;\"\/> et <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-c63397f205ea5a2b93c107434abf5957_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#78;&#32;&#61;&#32;&#112;&#92;&#44;&#113;\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"60\" style=\"vertical-align: -4px;\"\/> sont des entiers premiers entre eux.<img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-f113f352168d3b16a8f3e8b41e919e16_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#97;&#115;&#116;\" title=\"Rendered by QuickLaTeX.com\" height=\"9\" width=\"7\" style=\"vertical-align: 0px;\"\/> <img decoding=\"async\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-5c53d6ebabdbcfa4e107550ea60b1b19_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#97;\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"9\" style=\"vertical-align: 0px;\"\/> et <img decoding=\"async\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-3bf85f1087e9fbed3a319341134ac1a2_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#112;\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"10\" style=\"vertical-align: -4px;\"\/> sont alors premiers entre eux donc <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-7ce6036b4ed83cd66482ba1f19190b25_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#97;&#32;&#94;&#123;&#112;&#32;&#45;&#32;&#49;&#125;&#32;&#92;&#101;&#113;&#117;&#105;&#118;&#32;&#49;&#32;&#92;&#59;&#92;&#59;&#32;&#091;&#112;&#093;\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"94\" style=\"vertical-align: -5px;\"\/> par le petit th\u00e9or\u00e8me de Fermat.<br \/>\nLa relation <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-d58040665e0eb7a4d0418fabe70522b9_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#97;&#32;&#94;&#123;&#99;&#32;&#92;&#44;&#32;&#100;&#125;&#32;&#61;&#32;&#97;&#32;&#94;&#123;&#49;&#32;&#43;&#32;&#107;&#32;&#92;&#44;&#32;&#40;&#112;&#45;&#49;&#41;&#32;&#92;&#44;&#32;&#40;&#113;&#45;&#49;&#41;&#32;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"157\" style=\"vertical-align: 0px;\"\/><br \/>\n<img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-7e29514f2c42f2b1cbd932a361b6d6ec_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#97;&#32;&#94;&#123;&#99;&#92;&#44;&#32;&#100;&#125;&#32;&#61;&#32;&#97;&#32;&#92;&#44;&#32;&#92;&#116;&#105;&#109;&#101;&#115;&#32;&#92;&#108;&#101;&#102;&#116;&#32;&#40;&#32;&#97;&#32;&#94;&#123;&#112;&#45;&#49;&#125;&#32;&#92;&#114;&#105;&#103;&#104;&#116;&#32;&#41;&#32;&#94;&#123;&#107;&#40;&#113;&#32;&#45;&#32;&#49;&#41;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"27\" width=\"176\" style=\"vertical-align: -7px;\"\/><br \/>\ndonne<br \/>\n<img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-08f6d79cbd5795b798d0639508fca2dd_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#97;&#32;&#94;&#123;&#99;&#92;&#44;&#32;&#100;&#125;&#32;&#92;&#101;&#113;&#117;&#105;&#118;&#32;&#97;&#32;&#92;&#44;&#32;&#92;&#116;&#105;&#109;&#101;&#115;&#32;&#92;&#108;&#101;&#102;&#116;&#32;&#40;&#32;&#49;&#32;&#92;&#114;&#105;&#103;&#104;&#116;&#32;&#41;&#32;&#94;&#123;&#107;&#40;&#113;&#32;&#45;&#32;&#49;&#41;&#125;&#92;&#59;&#32;&#92;&#59;&#92;&#59;&#32;&#091;&#112;&#093;\" title=\"Rendered by QuickLaTeX.com\" height=\"23\" width=\"184\" style=\"vertical-align: -5px;\"\/><br \/>\n<img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-ae67b0ea09aac96427836cf06bd865c7_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#97;&#32;&#94;&#123;&#99;&#92;&#44;&#32;&#100;&#125;&#32;&#92;&#101;&#113;&#117;&#105;&#118;&#32;&#97;&#32;&#92;&#59;&#92;&#59;&#32;&#091;&#112;&#093;\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"85\" style=\"vertical-align: -5px;\"\/>, donc <img decoding=\"async\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-3bf85f1087e9fbed3a319341134ac1a2_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#112;\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"10\" style=\"vertical-align: -4px;\"\/> divise <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-0c7254b3d851868a02b9a041df89c0dc_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#97;&#32;&#94;&#123;&#99;&#92;&#44;&#32;&#100;&#125;&#32;&#45;&#32;&#97;\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"56\" style=\"vertical-align: 0px;\"\/>.<img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-f113f352168d3b16a8f3e8b41e919e16_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#97;&#115;&#116;\" title=\"Rendered by QuickLaTeX.com\" height=\"9\" width=\"7\" style=\"vertical-align: 0px;\"\/> En \u00e9changeant <img decoding=\"async\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-3bf85f1087e9fbed3a319341134ac1a2_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#112;\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"10\" style=\"vertical-align: -4px;\"\/> et <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-ac7da57d7f507262338bb5168feb3e06_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#113;\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"8\" style=\"vertical-align: -4px;\"\/>, <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-ac7da57d7f507262338bb5168feb3e06_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#113;\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"8\" style=\"vertical-align: -4px;\"\/> divise <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-0c7254b3d851868a02b9a041df89c0dc_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#97;&#32;&#94;&#123;&#99;&#92;&#44;&#32;&#100;&#125;&#32;&#45;&#32;&#97;\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"56\" style=\"vertical-align: 0px;\"\/>.<img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-f113f352168d3b16a8f3e8b41e919e16_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#97;&#115;&#116;\" title=\"Rendered by QuickLaTeX.com\" height=\"9\" width=\"7\" style=\"vertical-align: 0px;\"\/> Les entiers premiers entre eux <img decoding=\"async\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-3bf85f1087e9fbed3a319341134ac1a2_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#112;\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"10\" style=\"vertical-align: -4px;\"\/> et <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-ac7da57d7f507262338bb5168feb3e06_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#113;\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"8\" style=\"vertical-align: -4px;\"\/> divisent <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-0c7254b3d851868a02b9a041df89c0dc_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#97;&#32;&#94;&#123;&#99;&#92;&#44;&#32;&#100;&#125;&#32;&#45;&#32;&#97;\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"56\" style=\"vertical-align: 0px;\"\/>, donc <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-068e95f8e70a2303473d931d3bb1f85a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#78;&#32;&#61;&#32;&#112;&#92;&#44;&#32;&#113;\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"60\" style=\"vertical-align: -4px;\"\/> divise <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-0c7254b3d851868a02b9a041df89c0dc_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#97;&#32;&#94;&#123;&#99;&#92;&#44;&#32;&#100;&#125;&#32;&#45;&#32;&#97;\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"56\" style=\"vertical-align: 0px;\"\/> ce qui donne <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-e51e8a6a62cd953ce7ba8b460f0b4161_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#98;&#111;&#120;&#101;&#100;&#123;&#97;&#94;&#123;&#99;&#92;&#44;&#32;&#100;&#125;&#32;&#92;&#101;&#113;&#117;&#105;&#118;&#32;&#97;&#32;&#92;&#59;&#92;&#59;&#32;&#091;&#78;&#093;&#46;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"32\" width=\"111\" style=\"vertical-align: -10px;\"\/><\/li>\n<\/ul>\n<p>&nbsp;<\/p>\n<p style=\"text-align: justify;\">\t\t<div data-elementor-type=\"section\" data-elementor-id=\"127774\" class=\"elementor elementor-127774\">\n\t\t\t\t\t<div class=\"elementor-section-wrap\">\n\t\t\t\t\t\t\t\t<section class=\"has_ae_slider elementor-section elementor-inner-section elementor-element elementor-element-5a7b6a2a elementor-section-content-bottom full_width elementor-section-full_width elementor-section-height-min-height elementor-section-height-default ae-bg-gallery-type-default\" data-id=\"5a7b6a2a\" data-element_type=\"section\" data-e-type=\"section\" data-settings=\"{&quot;background_background&quot;:&quot;classic&quot;}\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-narrow\">\n\t\t\t\t\t<div class=\"has_ae_slider elementor-column elementor-col-66 elementor-inner-column elementor-element elementor-element-749af387 ae-bg-gallery-type-default\" data-id=\"749af387\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-1b4ed465 elementor-widget elementor-widget-heading\" data-id=\"1b4ed465\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<h3 class=\"elementor-heading-title elementor-size-default\">COURS PARTICULIERS EN LIGNE<\/h3>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-16d47760 elementor-widget elementor-widget-heading\" data-id=\"16d47760\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<h4 class=\"elementor-heading-title elementor-size-default\">Nous avons s\u00e9lectionn\u00e9 pour vous les meilleurs professeurs particuliers.<\/h4>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-21a162bf elementor-widget elementor-widget-heading\" data-id=\"21a162bf\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<h4 class=\"elementor-heading-title elementor-size-default\">POUR ACC\u00c9L\u00c9RER MA PROGRESSION<\/h4>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-5600477e elementor-align-left elementor-mobile-align-center elementor-widget elementor-widget-button\" data-id=\"5600477e\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"button.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<div class=\"elementor-button-wrapper\">\n\t\t\t\t\t<a class=\"elementor-button elementor-button-link elementor-size-md\" href=\"https:\/\/groupe-reussite.fr\/cours-en-ligne\/toutes-matieres\/tous-niveaux\/france\/\" target=\"_blank\" id=\"CTA_PRD_CP\">\n\t\t\t\t\t\t<span class=\"elementor-button-content-wrapper\">\n\t\t\t\t\t\t\t\t\t<span class=\"elementor-button-text\">Cours particuliers en ligne<\/span>\n\t\t\t\t\t<\/span>\n\t\t\t\t\t<\/a>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-1c7a7876 elementor-widget elementor-widget-text-editor\" data-id=\"1c7a7876\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<p style=\"text-align: left;\"><b>Avis Google France <\/b><span style=\"color: #e5a430;\"><b>\u2605\u2605\u2605\u2605\u2605<\/b><\/span><b> 4,9 sur 5<\/b><\/p>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t<div class=\"has_ae_slider elementor-column elementor-col-33 elementor-inner-column elementor-element elementor-element-2aa12288 ae-bg-gallery-type-default\" data-id=\"2aa12288\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap\">\n\t\t\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\n<p>&nbsp;<\/p>\n<p style=\"text-align: justify;\">Vous pouvez retrouvez le reste des exercices sur l&rsquo;application Prepapp \u00e0 t\u00e9l\u00e9charger gratuitement sur Google Play Store et Apple Store. Vous pourrez ainsi vous entra\u00eener rapidement et efficacement sur des exercices corrig\u00e9s sur le chapitre des nombres premiers et Fermat et bien d&rsquo;autres comme :<\/p>\n<ul>\n<li><a href=\"https:\/\/groupe-reussite.fr\/ressources\/cours-en-ligne-matrices-terminale\/\">matrices<\/a><\/li>\n<li><a href=\"https:\/\/groupe-reussite.fr\/ressources\/cours-en-ligne-graphes-terminale\/\">graphes<\/a><\/li>\n<li><a href=\"https:\/\/groupe-reussite.fr\/ressources\/cours-en-ligne-chaine-markov-terminale\/\">cha\u00eene de Markov<\/a><\/li>\n<li><a href=\"https:\/\/groupe-reussite.fr\/ressources\/cours-en-ligne-nombres-complexes-terminale\/\">nombres complexes : alg\u00e8bre<\/a><\/li>\n<li><a href=\"https:\/\/groupe-reussite.fr\/ressources\/cours-en-ligne-polynomes-terminale\/\">\u00e9quations polynomiales<\/a><\/li>\n<\/ul>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/section>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>Nombres premiers et fermat en terminale : exercices R\u00e9sum\u00e9 de cours Exercices et corrig\u00e9s Cours en ligne de Maths en Terminale Retrouvez les exercices corrig\u00e9s sur le chapitre des nombres premiers et fermat au programme de maths en Terminale en option math\u00e9matiques expertes. Le niveau est exigeant et il faut s&rsquo;entra\u00eener r\u00e9guli\u00e8rement pour r\u00e9ussir et [&hellip;]<\/p>\n","protected":false},"author":6,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"ocean_post_layout":"full-screen","ocean_both_sidebars_style":"","ocean_both_sidebars_content_width":0,"ocean_both_sidebars_sidebars_width":0,"ocean_sidebar":"ressource","ocean_second_sidebar":"0","ocean_disable_margins":"enable","ocean_add_body_class":"","ocean_shortcode_before_top_bar":"","ocean_shortcode_after_top_bar":"","ocean_shortcode_before_header":"","ocean_shortcode_after_header":"","ocean_has_shortcode":"","ocean_shortcode_after_title":"","ocean_shortcode_before_footer_widgets":"","ocean_shortcode_after_footer_widgets":"","ocean_shortcode_before_footer_bottom":"","ocean_shortcode_after_footer_bottom":"","ocean_display_top_bar":"default","ocean_display_header":"default","ocean_header_style":"","ocean_center_header_left_menu":"0","ocean_custom_header_template":"0","ocean_custom_logo":0,"ocean_custom_retina_logo":0,"ocean_custom_logo_max_width":0,"ocean_custom_logo_tablet_max_width":0,"ocean_custom_logo_mobile_max_width":0,"ocean_custom_logo_max_height":0,"ocean_custom_logo_tablet_max_height":0,"ocean_custom_logo_mobile_max_height":0,"ocean_header_custom_menu":"0","ocean_menu_typo_font_family":"0","ocean_menu_typo_font_subset":"","ocean_menu_typo_font_size":0,"ocean_menu_typo_font_size_tablet":0,"ocean_menu_typo_font_size_mobile":0,"ocean_menu_typo_font_size_unit":"px","ocean_menu_typo_font_weight":"","ocean_menu_typo_font_weight_tablet":"","ocean_menu_typo_font_weight_mobile":"","ocean_menu_typo_transform":"","ocean_menu_typo_transform_tablet":"","ocean_menu_typo_transform_mobile":"","ocean_menu_typo_line_height":0,"ocean_menu_typo_line_height_tablet":0,"ocean_menu_typo_line_height_mobile":0,"ocean_menu_typo_line_height_unit":"","ocean_menu_typo_spacing":0,"ocean_menu_typo_spacing_tablet":0,"ocean_menu_typo_spacing_mobile":0,"ocean_menu_typo_spacing_unit":"","ocean_menu_link_color":"","ocean_menu_link_color_hover":"","ocean_menu_link_color_active":"","ocean_menu_link_background":"","ocean_menu_link_hover_background":"","ocean_menu_link_active_background":"","ocean_menu_social_links_bg":"","ocean_menu_social_hover_links_bg":"","ocean_menu_social_links_color":"","ocean_menu_social_hover_links_color":"","ocean_disable_title":"on","ocean_disable_heading":"on","ocean_post_title":"","ocean_post_subheading":"","ocean_post_title_style":"","ocean_post_title_background_color":"","ocean_post_title_background":0,"ocean_post_title_bg_image_position":"","ocean_post_title_bg_image_attachment":"","ocean_post_title_bg_image_repeat":"","ocean_post_title_bg_image_size":"","ocean_post_title_height":0,"ocean_post_title_bg_overlay":0.5,"ocean_post_title_bg_overlay_color":"","ocean_disable_breadcrumbs":"on","ocean_breadcrumbs_color":"","ocean_breadcrumbs_separator_color":"","ocean_breadcrumbs_links_color":"","ocean_breadcrumbs_links_hover_color":"","ocean_display_footer_widgets":"default","ocean_display_footer_bottom":"default","ocean_custom_footer_template":"0","footnotes":""},"class_list":["post-91063","page","type-page","status-publish","entry"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v28.1 - https:\/\/yoast.com\/product\/yoast-seo-wordpress\/ -->\n<title>Nombres premiers et fermat en terminale : exercices\u00a0corrig\u00e9s<\/title>\n<meta name=\"description\" content=\"Exercices et corrig\u00e9s gratuits sur les nombres premiers et fermat en terminale avec l&#039;option maths expertes pour r\u00e9viser ce chapitre\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/groupe-reussite.fr\/ressources\/cours-en-ligne-exercices-corriges-nombres-premiers-fermat-terminale\/\" \/>\n<meta property=\"og:locale\" content=\"fr_FR\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Nombres premiers et fermat en terminale : exercices\u00a0corrig\u00e9s\" \/>\n<meta property=\"og:description\" content=\"Exercices et corrig\u00e9s gratuits sur les nombres premiers et fermat en terminale avec l&#039;option maths expertes pour r\u00e9viser ce chapitre\" \/>\n<meta property=\"og:url\" content=\"https:\/\/groupe-reussite.fr\/ressources\/cours-en-ligne-exercices-corriges-nombres-premiers-fermat-terminale\/\" \/>\n<meta property=\"og:site_name\" content=\"Groupe R\u00e9ussite\" \/>\n<meta property=\"article:publisher\" content=\"https:\/\/www.facebook.com\/GroupeReussiteOfficiel\/\" \/>\n<meta property=\"article:modified_time\" content=\"2022-07-22T14:07:07+00:00\" \/>\n<meta property=\"og:image\" content=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/uploads\/2026\/05\/logo-groupe-reussite-carre.png\" \/>\n\t<meta property=\"og:image:width\" content=\"170\" \/>\n\t<meta property=\"og:image:height\" content=\"180\" \/>\n\t<meta property=\"og:image:type\" content=\"image\/png\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:site\" content=\"@GroupeReussite\" \/>\n<meta name=\"twitter:label1\" content=\"Dur\u00e9e de lecture estim\u00e9e\" \/>\n\t<meta name=\"twitter:data1\" content=\"6 minutes\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\\\/\\\/schema.org\",\"@graph\":[{\"@type\":\"WebPage\",\"@id\":\"https:\\\/\\\/groupe-reussite.fr\\\/ressources\\\/cours-en-ligne-exercices-corriges-nombres-premiers-fermat-terminale\\\/\",\"url\":\"https:\\\/\\\/groupe-reussite.fr\\\/ressources\\\/cours-en-ligne-exercices-corriges-nombres-premiers-fermat-terminale\\\/\",\"name\":\"Nombres premiers et fermat en terminale : exercices\u00a0corrig\u00e9s\",\"isPartOf\":{\"@id\":\"https:\\\/\\\/groupe-reussite.fr\\\/ressources\\\/#website\"},\"datePublished\":\"2021-02-18T09:34:53+00:00\",\"dateModified\":\"2022-07-22T14:07:07+00:00\",\"description\":\"Exercices et corrig\u00e9s gratuits sur les nombres premiers et fermat en terminale avec l'option maths expertes pour r\u00e9viser ce chapitre\",\"breadcrumb\":{\"@id\":\"https:\\\/\\\/groupe-reussite.fr\\\/ressources\\\/cours-en-ligne-exercices-corriges-nombres-premiers-fermat-terminale\\\/#breadcrumb\"},\"inLanguage\":\"fr-FR\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\\\/\\\/groupe-reussite.fr\\\/ressources\\\/cours-en-ligne-exercices-corriges-nombres-premiers-fermat-terminale\\\/\"]}]},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\\\/\\\/groupe-reussite.fr\\\/ressources\\\/cours-en-ligne-exercices-corriges-nombres-premiers-fermat-terminale\\\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Accueil\",\"item\":\"https:\\\/\\\/groupe-reussite.fr\\\/ressources\\\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"Exercices et corrig\u00e9s nombres complexes Terminale\"}]},{\"@type\":\"WebSite\",\"@id\":\"https:\\\/\\\/groupe-reussite.fr\\\/ressources\\\/#website\",\"url\":\"https:\\\/\\\/groupe-reussite.fr\\\/ressources\\\/\",\"name\":\"Groupe R\u00e9ussite - Cours particuliers et stages de vacances\",\"description\":\"Stage et Cours particuliers maths, fran\u00e7ais, anglais, informatique, physique chimie\",\"publisher\":{\"@id\":\"https:\\\/\\\/groupe-reussite.fr\\\/ressources\\\/#organization\"},\"potentialAction\":[{\"@type\":\"SearchAction\",\"target\":{\"@type\":\"EntryPoint\",\"urlTemplate\":\"https:\\\/\\\/groupe-reussite.fr\\\/ressources\\\/?s={search_term_string}\"},\"query-input\":{\"@type\":\"PropertyValueSpecification\",\"valueRequired\":true,\"valueName\":\"search_term_string\"}}],\"inLanguage\":\"fr-FR\"},{\"@type\":\"Organization\",\"@id\":\"https:\\\/\\\/groupe-reussite.fr\\\/ressources\\\/#organization\",\"name\":\"Groupe R\u00e9ussite - Cours particuliers et stages de vacances\",\"url\":\"https:\\\/\\\/groupe-reussite.fr\\\/ressources\\\/\",\"logo\":{\"@type\":\"ImageObject\",\"inLanguage\":\"fr-FR\",\"@id\":\"https:\\\/\\\/groupe-reussite.fr\\\/ressources\\\/#\\\/schema\\\/logo\\\/image\\\/\",\"url\":\"https:\\\/\\\/groupe-reussite.fr\\\/ressources\\\/wp-content\\\/uploads\\\/2026\\\/05\\\/logo-groupe-reussite-carre.png\",\"contentUrl\":\"https:\\\/\\\/groupe-reussite.fr\\\/ressources\\\/wp-content\\\/uploads\\\/2026\\\/05\\\/logo-groupe-reussite-carre.png\",\"width\":170,\"height\":180,\"caption\":\"Groupe R\u00e9ussite - Cours particuliers et stages de vacances\"},\"image\":{\"@id\":\"https:\\\/\\\/groupe-reussite.fr\\\/ressources\\\/#\\\/schema\\\/logo\\\/image\\\/\"},\"sameAs\":[\"https:\\\/\\\/www.facebook.com\\\/GroupeReussiteOfficiel\\\/\",\"https:\\\/\\\/x.com\\\/GroupeReussite\",\"https:\\\/\\\/www.youtube.com\\\/c\\\/GroupeReussite\",\"https:\\\/\\\/www.instagram.com\\\/groupe_reussite_officiel\\\/\",\"https:\\\/\\\/fr.linkedin.com\\\/company\\\/groupe-reussite\",\"https:\\\/\\\/www.tiktok.com\\\/@groupereussite\",\"https:\\\/\\\/fr.pinterest.com\\\/GroupeReussite\\\/\",\"https:\\\/\\\/www.reddit.com\\\/user\\\/Groupe-Reussite\\\/\"]}]}<\/script>\n<!-- \/ Yoast SEO plugin. -->","yoast_head_json":{"title":"Nombres premiers et fermat en terminale : exercices\u00a0corrig\u00e9s","description":"Exercices et corrig\u00e9s gratuits sur les nombres premiers et fermat en terminale avec l'option maths expertes pour r\u00e9viser ce chapitre","robots":{"index":"index","follow":"follow","max-snippet":"max-snippet:-1","max-image-preview":"max-image-preview:large","max-video-preview":"max-video-preview:-1"},"canonical":"https:\/\/groupe-reussite.fr\/ressources\/cours-en-ligne-exercices-corriges-nombres-premiers-fermat-terminale\/","og_locale":"fr_FR","og_type":"article","og_title":"Nombres premiers et fermat en terminale : exercices\u00a0corrig\u00e9s","og_description":"Exercices et corrig\u00e9s gratuits sur les nombres premiers et fermat en terminale avec l'option maths expertes pour r\u00e9viser ce chapitre","og_url":"https:\/\/groupe-reussite.fr\/ressources\/cours-en-ligne-exercices-corriges-nombres-premiers-fermat-terminale\/","og_site_name":"Groupe R\u00e9ussite","article_publisher":"https:\/\/www.facebook.com\/GroupeReussiteOfficiel\/","article_modified_time":"2022-07-22T14:07:07+00:00","og_image":[{"width":170,"height":180,"url":"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/uploads\/2026\/05\/logo-groupe-reussite-carre.png","type":"image\/png"}],"twitter_card":"summary_large_image","twitter_site":"@GroupeReussite","twitter_misc":{"Dur\u00e9e de lecture estim\u00e9e":"6 minutes"},"schema":{"@context":"https:\/\/schema.org","@graph":[{"@type":"WebPage","@id":"https:\/\/groupe-reussite.fr\/ressources\/cours-en-ligne-exercices-corriges-nombres-premiers-fermat-terminale\/","url":"https:\/\/groupe-reussite.fr\/ressources\/cours-en-ligne-exercices-corriges-nombres-premiers-fermat-terminale\/","name":"Nombres premiers et fermat en terminale : exercices\u00a0corrig\u00e9s","isPartOf":{"@id":"https:\/\/groupe-reussite.fr\/ressources\/#website"},"datePublished":"2021-02-18T09:34:53+00:00","dateModified":"2022-07-22T14:07:07+00:00","description":"Exercices et corrig\u00e9s gratuits sur les nombres premiers et fermat en terminale avec l'option maths expertes pour r\u00e9viser ce chapitre","breadcrumb":{"@id":"https:\/\/groupe-reussite.fr\/ressources\/cours-en-ligne-exercices-corriges-nombres-premiers-fermat-terminale\/#breadcrumb"},"inLanguage":"fr-FR","potentialAction":[{"@type":"ReadAction","target":["https:\/\/groupe-reussite.fr\/ressources\/cours-en-ligne-exercices-corriges-nombres-premiers-fermat-terminale\/"]}]},{"@type":"BreadcrumbList","@id":"https:\/\/groupe-reussite.fr\/ressources\/cours-en-ligne-exercices-corriges-nombres-premiers-fermat-terminale\/#breadcrumb","itemListElement":[{"@type":"ListItem","position":1,"name":"Accueil","item":"https:\/\/groupe-reussite.fr\/ressources\/"},{"@type":"ListItem","position":2,"name":"Exercices et corrig\u00e9s nombres complexes Terminale"}]},{"@type":"WebSite","@id":"https:\/\/groupe-reussite.fr\/ressources\/#website","url":"https:\/\/groupe-reussite.fr\/ressources\/","name":"Groupe R\u00e9ussite - Cours particuliers et stages de vacances","description":"Stage et Cours particuliers maths, fran\u00e7ais, anglais, informatique, physique chimie","publisher":{"@id":"https:\/\/groupe-reussite.fr\/ressources\/#organization"},"potentialAction":[{"@type":"SearchAction","target":{"@type":"EntryPoint","urlTemplate":"https:\/\/groupe-reussite.fr\/ressources\/?s={search_term_string}"},"query-input":{"@type":"PropertyValueSpecification","valueRequired":true,"valueName":"search_term_string"}}],"inLanguage":"fr-FR"},{"@type":"Organization","@id":"https:\/\/groupe-reussite.fr\/ressources\/#organization","name":"Groupe R\u00e9ussite - Cours particuliers et stages de vacances","url":"https:\/\/groupe-reussite.fr\/ressources\/","logo":{"@type":"ImageObject","inLanguage":"fr-FR","@id":"https:\/\/groupe-reussite.fr\/ressources\/#\/schema\/logo\/image\/","url":"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/uploads\/2026\/05\/logo-groupe-reussite-carre.png","contentUrl":"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/uploads\/2026\/05\/logo-groupe-reussite-carre.png","width":170,"height":180,"caption":"Groupe R\u00e9ussite - Cours particuliers et stages de vacances"},"image":{"@id":"https:\/\/groupe-reussite.fr\/ressources\/#\/schema\/logo\/image\/"},"sameAs":["https:\/\/www.facebook.com\/GroupeReussiteOfficiel\/","https:\/\/x.com\/GroupeReussite","https:\/\/www.youtube.com\/c\/GroupeReussite","https:\/\/www.instagram.com\/groupe_reussite_officiel\/","https:\/\/fr.linkedin.com\/company\/groupe-reussite","https:\/\/www.tiktok.com\/@groupereussite","https:\/\/fr.pinterest.com\/GroupeReussite\/","https:\/\/www.reddit.com\/user\/Groupe-Reussite\/"]}]}},"_links":{"self":[{"href":"https:\/\/groupe-reussite.fr\/ressources\/wp-json\/wp\/v2\/pages\/91063","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/groupe-reussite.fr\/ressources\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/groupe-reussite.fr\/ressources\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/groupe-reussite.fr\/ressources\/wp-json\/wp\/v2\/users\/6"}],"replies":[{"embeddable":true,"href":"https:\/\/groupe-reussite.fr\/ressources\/wp-json\/wp\/v2\/comments?post=91063"}],"version-history":[{"count":0,"href":"https:\/\/groupe-reussite.fr\/ressources\/wp-json\/wp\/v2\/pages\/91063\/revisions"}],"wp:attachment":[{"href":"https:\/\/groupe-reussite.fr\/ressources\/wp-json\/wp\/v2\/media?parent=91063"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}