{"id":4191,"date":"2026-01-31T17:11:57","date_gmt":"2026-01-31T17:11:57","guid":{"rendered":"https:\/\/iota-society.com\/?page_id=4191"},"modified":"2026-02-05T16:38:04","modified_gmt":"2026-02-05T16:38:04","slug":"test-de-qi-hard-mode-item-52","status":"publish","type":"page","link":"https:\/\/iota-society.com\/index.php\/test-de-qi-hard-mode-item-52\/","title":{"rendered":"Test de QI Hard Mode item 52"},"content":{"rendered":"\t\t<div data-elementor-type=\"wp-page\" data-elementor-id=\"4191\" class=\"elementor elementor-4191\">\n\t\t\t\t<div class=\"elementor-element elementor-element-33287bf e-flex e-con-boxed e-con e-parent\" data-id=\"33287bf\" data-element_type=\"container\" data-e-type=\"container\">\n\t\t\t\t\t<div class=\"e-con-inner\">\n\t\t\t\t<div class=\"elementor-element elementor-element-9531ba4 elementor-widget elementor-widget-heading\" data-id=\"9531ba4\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t\t<h2 class=\"elementor-heading-title elementor-size-default\">Calculs Impossibles Item 52<\/h2>\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-a322337 elementor-widget elementor-widget-spacer\" data-id=\"a322337\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"spacer.default\">\n\t\t\t\t\t\t\t<div class=\"elementor-spacer\">\n\t\t\t<div class=\"elementor-spacer-inner\"><\/div>\n\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-0f2ee59 elementor-widget elementor-widget-heading\" data-id=\"0f2ee59\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t\t<h2 class=\"elementor-heading-title elementor-size-default\">\nR\u00e9pondez \u00e0 l'enigme math\u00e9matique suivante, la r\u00e9ponse est unique<\/h2>\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-cacb148 elementor-widget elementor-widget-spacer\" data-id=\"cacb148\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"spacer.default\">\n\t\t\t\t\t\t\t<div class=\"elementor-spacer\">\n\t\t\t<div class=\"elementor-spacer-inner\"><\/div>\n\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-be5a58a elementor-widget elementor-widget-text-editor\" data-id=\"be5a58a\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t\t\t\t\t\t<p>Definition de mod ou modulo :<\/p><p>\u00a0<\/p><p>\u00a0<\/p><p>La\u00a0<b>congruence sur les entiers<\/b>\u00a0est une\u00a0<a title=\"Relation d'\u00e9quivalence\" href=\"https:\/\/fr.wikipedia.org\/wiki\/Relation_d%27%C3%A9quivalence\">relation<\/a>\u00a0pouvant relier deux\u00a0<a title=\"Entier relatif\" href=\"https:\/\/fr.wikipedia.org\/wiki\/Entier_relatif\">entiers<\/a>.<\/p><p>\u00a0<\/p><p>\u00a0<\/p><p>Plus pr\u00e9cis\u00e9ment, deux entiers sont dits congrus modulo un troisi\u00e8me<\/p><p>\u00a0<\/p><p>\u00a0<\/p><p>(appel\u00e9 le\u00a0<b>module<\/b>)<\/p><p>\u00a0<\/p><p>\u00a0<\/p><p>si leur diff\u00e9rence est\u00a0<a title=\"Divisibilit\u00e9\" href=\"https:\/\/fr.wikipedia.org\/wiki\/Divisibilit%C3%A9\">divisible<\/a>\u00a0par cet entier, ou autrement dit<\/p><p>\u00a0<\/p><p>\u00a0<\/p><p>si les restes de leur\u00a0<a title=\"Division euclidienne\" href=\"https:\/\/fr.wikipedia.org\/wiki\/Division_euclidienne\">division euclidienne<\/a>\u00a0par cet entier sont \u00e9gaux.<\/p><p>\u00a0<\/p><p>\u00a0<\/p><p>Par exemple, les deux entiers\u00a0<span class=\"mwe-math-element mwe-math-element-inline\"><span class=\"mwe-math-mathml-inline mwe-math-mathml-a11y\">5<\/span><img decoding=\"async\" class=\"mwe-math-fallback-image-inline mw-invert skin-invert\" src=\"https:\/\/wikimedia.org\/api\/rest_v1\/media\/math\/render\/svg\/29483407999b8763f0ea335cf715a6a5e809f44b\" alt=\"{\\displaystyle 5}\" aria-hidden=\"true\" \/><\/span>\u00a0et\u00a0<span class=\"mwe-math-element mwe-math-element-inline\"><span class=\"mwe-math-mathml-inline mwe-math-mathml-a11y\">8<\/span><img decoding=\"async\" class=\"mwe-math-fallback-image-inline mw-invert skin-invert\" src=\"https:\/\/wikimedia.org\/api\/rest_v1\/media\/math\/render\/svg\/1aaa997e6ad67716cfaa9a02c4df860bf60a95b5\" alt=\"{\\displaystyle 8}\" aria-hidden=\"true\" \/><\/span>\u00a0sont congrus modulo l&rsquo;entier\u00a0<span class=\"mwe-math-element mwe-math-element-inline\"><span class=\"mwe-math-mathml-inline mwe-math-mathml-a11y\">3<\/span><img decoding=\"async\" class=\"mwe-math-fallback-image-inline mw-invert skin-invert\" src=\"https:\/\/wikimedia.org\/api\/rest_v1\/media\/math\/render\/svg\/991e33c6e207b12546f15bdfee8b5726eafbbb2f\" alt=\"{\\displaystyle 3}\" aria-hidden=\"true\" \/><\/span>.<\/p>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-ae39cb7 elementor-widget elementor-widget-spacer\" data-id=\"ae39cb7\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"spacer.default\">\n\t\t\t\t\t\t\t<div class=\"elementor-spacer\">\n\t\t\t<div class=\"elementor-spacer-inner\"><\/div>\n\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-4cdbefb elementor-widget elementor-widget-heading\" data-id=\"4cdbefb\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t\t<h2 class=\"elementor-heading-title elementor-size-default\">Trouvez n definit par :<\/h2>\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-dca3e2d elementor-widget elementor-widget-spacer\" data-id=\"dca3e2d\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"spacer.default\">\n\t\t\t\t\t\t\t<div class=\"elementor-spacer\">\n\t\t\t<div class=\"elementor-spacer-inner\"><\/div>\n\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-fac29c4 elementor-widget elementor-widget-text-editor\" data-id=\"fac29c4\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t\t\t\t\t\t<p>n -&gt; 1 ( mod 8 )<\/p><p>\u00a0<\/p><p>\u00a0<\/p><p>n -&gt; 2 ( mod 9 )<\/p><p>\u00a0<\/p><p>\u00a0<\/p><p>n -&gt; 3 ( mod 5 )<\/p><p>\u00a0<\/p><p>\u00a0<\/p><p>n -&gt; 4 ( mod 7 )<\/p>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-01a178f elementor-widget elementor-widget-spacer\" data-id=\"01a178f\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"spacer.default\">\n\t\t\t\t\t\t\t<div class=\"elementor-spacer\">\n\t\t\t<div class=\"elementor-spacer-inner\"><\/div>\n\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t<div class=\"elementor-element elementor-element-2210591 e-flex e-con-boxed e-con e-parent\" data-id=\"2210591\" data-element_type=\"container\" data-e-type=\"container\">\n\t\t\t\t\t<div class=\"e-con-inner\">\n\t\t\t\t<div class=\"elementor-element elementor-element-802eb23 elementor-widget elementor-widget-formidable\" data-id=\"802eb23\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"formidable.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\tVeuillez s\u00e9lectionner un formulaire valide\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-4cb4a0f elementor-widget elementor-widget-spacer\" data-id=\"4cb4a0f\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"spacer.default\">\n\t\t\t\t\t\t\t<div class=\"elementor-spacer\">\n\t\t\t<div class=\"elementor-spacer-inner\"><\/div>\n\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-0fcc5db elementor-widget elementor-widget-image\" data-id=\"0fcc5db\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"image.default\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<img fetchpriority=\"high\" decoding=\"async\" width=\"683\" height=\"1024\" src=\"https:\/\/iota-society.com\/wp-content\/uploads\/2026\/02\/HM-42-683x1024.png\" class=\"attachment-large size-large wp-image-4272\" alt=\"\" srcset=\"https:\/\/iota-society.com\/wp-content\/uploads\/2026\/02\/HM-42-683x1024.png 683w, https:\/\/iota-society.com\/wp-content\/uploads\/2026\/02\/HM-42-200x300.png 200w, https:\/\/iota-society.com\/wp-content\/uploads\/2026\/02\/HM-42-768x1152.png 768w, https:\/\/iota-society.com\/wp-content\/uploads\/2026\/02\/HM-42.png 1024w\" sizes=\"(max-width: 683px) 100vw, 683px\" \/>\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t<div class=\"elementor-element elementor-element-7835e5c e-flex e-con-boxed e-con e-parent\" data-id=\"7835e5c\" data-element_type=\"container\" data-e-type=\"container\">\n\t\t\t\t\t<div class=\"e-con-inner\">\n\t\t\t\t<div class=\"elementor-element elementor-element-b708c2d elementor-widget elementor-widget-heading\" data-id=\"b708c2d\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t\t<h2 class=\"elementor-heading-title elementor-size-default\">Maryam Mirzakhani ( 1977 - 2017 ) \u00e0 l'universit\u00e9 de Stanford<\/h2>\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t","protected":false},"excerpt":{"rendered":"<p>Calculs Impossibles Item 52 R\u00e9pondez \u00e0 l&rsquo;enigme math\u00e9matique suivante, la r\u00e9ponse est unique Definition de mod ou modulo : \u00a0 [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"site-sidebar-layout":"no-sidebar","site-content-layout":"","ast-site-content-layout":"full-width-container","site-content-style":"default","site-sidebar-style":"default","ast-global-header-display":"","ast-banner-title-visibility":"","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"","ast-breadcrumbs-content":"","ast-featured-img":"disabled","footer-sml-layout":"","ast-disable-related-posts":"","theme-transparent-header-meta":"","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":"","astra-migrate-meta-layouts":"default","ast-page-background-enabled":"default","ast-page-background-meta":{"desktop":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center 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