{"id":134531,"date":"2022-01-22T12:24:39","date_gmt":"2022-01-22T20:24:39","guid":{"rendered":"https:\/\/lifeboat.com\/blog\/2022\/01\/243-year-old-impossible-puzzle-solved-using-quantum-entanglement"},"modified":"2022-01-22T12:24:39","modified_gmt":"2022-01-22T20:24:39","slug":"243-year-old-impossible-puzzle-solved-using-quantum-entanglement","status":"publish","type":"post","link":"https:\/\/lifeboat.com\/blog\/2022\/01\/243-year-old-impossible-puzzle-solved-using-quantum-entanglement","title":{"rendered":"243-Year-Old Impossible Puzzle Solved Using Quantum Entanglement"},"content":{"rendered":"<p><a class=\"aligncenter blog-photo\" href=\"https:\/\/lifeboat.com\/blog.images\/243-year-old-impossible-puzzle-solved-using-quantum-entanglement2.jpg\"><\/a><\/p>\n<p>Over 240 years ago, famous mathematician Leonhard Euler came up with a question: if six army regiments each have six officers of six different ranks, can they be arranged in a square formation such that no row or column repeats either a rank or regiment?<\/p>\n<p>After searching in vain for a solution, Euler declared the problem impossible \u2013 and over a century later, the French mathematician Gaston Tarry proved him right. Then, 60 years after <em>that<\/em>, when the advent of <a href=\"https:\/\/www.iflscience.com\/editors-blog\/researchers-create-ai-that-can-invent-brand-new-math-theorems\/\">computers<\/a> removed the need for laboriously testing every possible combination by hand, the mathematicians <a href=\"https:\/\/www.cambridge.org\/core\/journals\/canadian-journal-of-mathematics\/article\/further-results-on-the-construction-of-mutually-orthogonal-latin-squares-and-the-falsity-of-eulers-conjecture\/1152262BF046F8632638FE9C10610136\">Parker, Bose, and Shrikhande<\/a> proved an even stronger result: not only is the six-by-six square impossible, but it\u2019s the <em>only<\/em> size of square other than two-by-two that doesn\u2019t have a solution at all.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Over 240 years ago, famous mathematician Leonhard Euler came up with a question: if six army regiments each have six officers of six different ranks, can they be arranged in a square formation such that no row or column repeats either a rank or regiment? After searching in vain for a solution, Euler declared the [\u2026]<\/p>\n","protected":false},"author":513,"featured_media":0,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1523,2229,1617],"tags":[],"class_list":["post-134531","post","type-post","status-publish","format-standard","hentry","category-computing","category-mathematics","category-quantum-physics"],"_links":{"self":[{"href":"https:\/\/lifeboat.com\/blog\/wp-json\/wp\/v2\/posts\/134531","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/lifeboat.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/lifeboat.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/lifeboat.com\/blog\/wp-json\/wp\/v2\/users\/513"}],"replies":[{"embeddable":true,"href":"https:\/\/lifeboat.com\/blog\/wp-json\/wp\/v2\/comments?post=134531"}],"version-history":[{"count":0,"href":"https:\/\/lifeboat.com\/blog\/wp-json\/wp\/v2\/posts\/134531\/revisions"}],"wp:attachment":[{"href":"https:\/\/lifeboat.com\/blog\/wp-json\/wp\/v2\/media?parent=134531"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/lifeboat.com\/blog\/wp-json\/wp\/v2\/categories?post=134531"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/lifeboat.com\/blog\/wp-json\/wp\/v2\/tags?post=134531"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}