{"id":1188,"date":"2019-07-31T06:44:44","date_gmt":"2019-07-31T10:44:44","guid":{"rendered":"http:\/\/josmfs.net\/?p=1188"},"modified":"2019-07-31T06:44:44","modified_gmt":"2019-07-31T10:44:44","slug":"lucky-7-problem","status":"publish","type":"post","link":"https:\/\/josmfs.net\/wordpress\/2019\/07\/31\/lucky-7-problem\/","title":{"rendered":"Lucky 7 Problem"},"content":{"rendered":"<p><img loading=\"lazy\" decoding=\"async\" class=\"alignleft  wp-image-1186\" src=\"https:\/\/josmfs.net\/wordpress\/wp-content\/uploads\/2019\/07\/Lucky-7-Prob-Fig2.jpg\" alt=\"\" width=\"170\" height=\"133\" \/>This interesting problem comes from Colin Hughes at the Maths Challenge website.<\/p>\n<p>\u201c<strong>Problem<\/strong><br \/>\nProve that for any number that is not a multiple of seven, then its cube will be one more or one less than a multiple of 7.\u201d<\/p>\n<p>See <a href=\"https:\/\/josmfs.net\/wordpress\/wp-content\/uploads\/2019\/07\/Lucky-7-Problem-090713.pdf\">Lucky 7 Problem<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>This interesting problem comes from Colin Hughes at the Maths Challenge website. \u201cProblem Prove that for any number that is not a multiple of seven, then its cube will be one more or one less than a multiple of 7.\u201d See Lucky 7 Problem<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[3],"tags":[133,151],"class_list":["post-1188","post","type-post","status-publish","format-standard","hentry","category-puzzles-and-problems","tag-algebra","tag-colin-hughes"],"_links":{"self":[{"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/posts\/1188","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/comments?post=1188"}],"version-history":[{"count":2,"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/posts\/1188\/revisions"}],"predecessor-version":[{"id":1190,"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/posts\/1188\/revisions\/1190"}],"wp:attachment":[{"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/media?parent=1188"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/categories?post=1188"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/tags?post=1188"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}