{"id":995,"date":"2021-08-03T09:00:00","date_gmt":"2021-08-03T07:00:00","guid":{"rendered":"https:\/\/smalltalks.eu\/blog\/?p=995"},"modified":"2026-09-28T13:20:34","modified_gmt":"2026-09-28T11:20:34","slug":"le-probleme-le-plus-simple-que-personne-ne-sait-resoudre-la-conjecture-de-syracuse-veritasium","status":"publish","type":"post","link":"https:\/\/smalltalks.eu\/blog\/2021\/08\/03\/le-probleme-le-plus-simple-que-personne-ne-sait-resoudre-la-conjecture-de-syracuse-veritasium\/","title":{"rendered":"Le probl\u00e8me le plus simple que personne ne sait r\u00e9soudre : la conjecture de Syracuse (Veritasium)"},"content":{"rendered":"\n<figure class=\"wp-block-embed is-type-video is-provider-youtube wp-block-embed-youtube wp-embed-aspect-16-9 wp-has-aspect-ratio\"><div class=\"wp-block-embed__wrapper\">\n<iframe loading=\"lazy\" title=\"The Simplest Math Problem No One Can Solve - Collatz Conjecture\" width=\"640\" height=\"360\" src=\"https:\/\/www.youtube.com\/embed\/094y1Z2wpJg?feature=oembed\" frameborder=\"0\" allow=\"accelerometer; autoplay; clipboard-write; encrypted-media; gyroscope; picture-in-picture; web-share\" referrerpolicy=\"strict-origin-when-cross-origin\" allowfullscreen><\/iframe>\n<\/div><\/figure>\n\n\n\n<div style=\"height:30px\" aria-hidden=\"true\" class=\"wp-block-spacer\"><\/div>\n\n\n\n<p class=\"wp-block-paragraph\">Prenez un nombre : s&#8217;il est pair, divisez-le par deux ; s&#8217;il est impair, multipliez-le par trois et ajoutez un. Recommencez. On retombe toujours, semble-t-il, sur 1. C&#8217;est la conjecture de Syracuse (ou de Collatz) : assez simple pour \u00eatre comprise par presque tout le monde, et pourtant jamais d\u00e9montr\u00e9e.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Avec le math\u00e9maticien Alex Kontorovich : la recherche de motifs, la loi de Benford, la visualisation des suites, les progr\u00e8s vers une preuve, la chasse aux contre-exemples par ordinateur, et les limites de la force brute face \u00e0 l&#8217;infini (en anglais).<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Dans la m\u00eame s\u00e9rie : <a href=\"https:\/\/smalltalks.eu\/blog\/?p=996\">la d\u00e9couverte qui a transform\u00e9 \u03c0<\/a>, <a href=\"https:\/\/smalltalks.eu\/blog\/?p=997\">le cinqui\u00e8me postulat d&#8217;Euclide<\/a>, <a href=\"https:\/\/smalltalks.eu\/blog\/?p=998\">le n\u0153ud de Conway<\/a>, <a href=\"https:\/\/smalltalks.eu\/blog\/?p=999\">la commutativit\u00e9<\/a>.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><em>Vid\u00e9o de Veritasium.<\/em><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Prenez un nombre : s&#8217;il est pair, divisez-le par deux ; s&#8217;il est impair, multipliez-le par trois et ajoutez un. Recommencez. On retombe toujours, semble-t-il, sur 1. C&#8217;est la conjecture de Syracuse (ou de Collatz) : assez simple pour \u00eatre comprise par presque tout le monde, et pourtant jamais d\u00e9montr\u00e9e. Avec le math\u00e9maticien Alex Kontorovich : la recherche de motifs, la loi de Benford, la visualisation des suites, les progr\u00e8s vers une preuve, la chasse aux contre-exemples par ordinateur, et&#8230;<\/p>\n<p class=\"read-more\"><a class=\"btn btn-default\" href=\"https:\/\/smalltalks.eu\/blog\/2021\/08\/03\/le-probleme-le-plus-simple-que-personne-ne-sait-resoudre-la-conjecture-de-syracuse-veritasium\/\"> Read More<span class=\"screen-reader-text\">  Read More<\/span><\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[280,282,294],"tags":[],"class_list":["post-995","post","type-post","status-publish","format-standard","hentry","category-sciences","category-sciences-mathematiques","category-veritasium"],"_links":{"self":[{"href":"https:\/\/smalltalks.eu\/blog\/wp-json\/wp\/v2\/posts\/995","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/smalltalks.eu\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/smalltalks.eu\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/smalltalks.eu\/blog\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/smalltalks.eu\/blog\/wp-json\/wp\/v2\/comments?post=995"}],"version-history":[{"count":1,"href":"https:\/\/smalltalks.eu\/blog\/wp-json\/wp\/v2\/posts\/995\/revisions"}],"predecessor-version":[{"id":1017,"href":"https:\/\/smalltalks.eu\/blog\/wp-json\/wp\/v2\/posts\/995\/revisions\/1017"}],"wp:attachment":[{"href":"https:\/\/smalltalks.eu\/blog\/wp-json\/wp\/v2\/media?parent=995"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/smalltalks.eu\/blog\/wp-json\/wp\/v2\/categories?post=995"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/smalltalks.eu\/blog\/wp-json\/wp\/v2\/tags?post=995"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}