{"id":21901,"date":"2013-10-16T21:24:47","date_gmt":"2013-10-16T21:24:47","guid":{"rendered":"http:\/\/thomasjpitts.co.uk\/wp\/?p=21901"},"modified":"2013-10-16T21:24:47","modified_gmt":"2013-10-16T21:24:47","slug":"day-289-geeky-maths-things-friedman-numbers","status":"publish","type":"post","link":"https:\/\/thomasjpitts.co.uk\/wordpress\/2013\/10\/16\/day-289-geeky-maths-things-friedman-numbers\/","title":{"rendered":"Day 289: Geeky Maths Things &#8211; Friedman Numbers"},"content":{"rendered":"<p>Now then, nothing much of interest happened today. So I&#8217;m going all geeky on you and introducing you to Friedman numbers. The reason? Why, 289 is a <a class=\"zem_slink\" title=\"Friedman number\" href=\"http:\/\/en.wikipedia.org\/wiki\/Friedman_number\" target=\"_blank\" rel=\"wikipedia\">Friedman number<\/a> &#8211; it&#8217;s almost like I plan these things (I don&#8217;t, I just <a class=\"zem_slink\" title=\"Google\" href=\"http:\/\/en.wikipedia.org\/wiki\/Google\" target=\"_blank\" rel=\"wikipedia\">Google<\/a> when I struggle to write anything.)<\/p>\n<p>Anyway, Friedman numbers occur an expression using all its own digits in combination with any of the four basic arithmetic operators (+, \u2212, \u00d7, \u00f7) and sometimes\u00a0exponentiation can be formed. For example, 25 = 5<sup>2<\/sup>, while\u00a0127 = 2<sup>7<\/sup>\u00a0\u2212 1.<\/p>\n<p>In the case of 289, (8+9)<sup>2<\/sup> = 289.<\/p>\n<p>Simple.<\/p>\n<p>&nbsp;<\/p>\n<div class=\"zemanta-pixie\" style=\"margin-top: 10px; height: 15px;\"><a class=\"zemanta-pixie-a\" title=\"Enhanced by Zemanta\" href=\"http:\/\/www.zemanta.com\/?px\"><img data-recalc-dims=\"1\" decoding=\"async\" class=\"zemanta-pixie-img\" style=\"border: none; float: right;\" alt=\"Enhanced by Zemanta\" src=\"https:\/\/i0.wp.com\/img.zemanta.com\/zemified_e.png?w=1165\" \/><\/a><\/div>\n","protected":false},"excerpt":{"rendered":"<p>Now then, nothing much of interest happened today. So I&#8217;m going all geeky on you and introducing you to Friedman numbers. The reason? Why, 289 is a Friedman number &#8211; it&#8217;s almost like I plan these things (I don&#8217;t, I just Google when I struggle to write anything.) Anyway, Friedman numbers occur an expression using [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"ngg_post_thumbnail":0,"jetpack_post_was_ever_published":false,"_jetpack_newsletter_access":"","_jetpack_dont_email_post_to_subs":false,"_jetpack_newsletter_tier_id":0,"_jetpack_memberships_contains_paywalled_content":false,"_jetpack_memberships_contains_paid_content":false,"footnotes":"","jetpack_publicize_message":"","jetpack_publicize_feature_enabled":true,"jetpack_social_post_already_shared":true,"jetpack_social_options":{"image_generator_settings":{"template":"highway","default_image_id":0,"font":"","enabled":false},"version":2}},"categories":[2,18],"tags":[147,1082,1238,1274,1287,1816,2676,2677,3109],"class_list":["post-21901","post","type-post","status-publish","format-standard","hentry","category-2","category-maths","tag-147","tag-facebook","tag-geeky-maths-things","tag-god","tag-google","tag-login","tag-search-engines","tag-searching","tag-twitter","has-post-title","has-post-date","has-post-category","has-post-tag","has-post-comment","has-post-author",""],"jetpack_publicize_connections":[],"jetpack_featured_media_url":"","jetpack_sharing_enabled":true,"jetpack_shortlink":"https:\/\/wp.me\/p6OeSW-5Hf","jetpack-related-posts":[],"builder_content":"","_links":{"self":[{"href":"https:\/\/thomasjpitts.co.uk\/wordpress\/wp-json\/wp\/v2\/posts\/21901","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/thomasjpitts.co.uk\/wordpress\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/thomasjpitts.co.uk\/wordpress\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/thomasjpitts.co.uk\/wordpress\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/thomasjpitts.co.uk\/wordpress\/wp-json\/wp\/v2\/comments?post=21901"}],"version-history":[{"count":0,"href":"https:\/\/thomasjpitts.co.uk\/wordpress\/wp-json\/wp\/v2\/posts\/21901\/revisions"}],"wp:attachment":[{"href":"https:\/\/thomasjpitts.co.uk\/wordpress\/wp-json\/wp\/v2\/media?parent=21901"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/thomasjpitts.co.uk\/wordpress\/wp-json\/wp\/v2\/categories?post=21901"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/thomasjpitts.co.uk\/wordpress\/wp-json\/wp\/v2\/tags?post=21901"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}