{"id":21337,"date":"2013-08-21T22:48:57","date_gmt":"2013-08-21T22:48:57","guid":{"rendered":"http:\/\/thomasjpitts.co.uk\/wp\/?p=21337"},"modified":"2013-08-21T22:48:57","modified_gmt":"2013-08-21T22:48:57","slug":"day-233-a-sexy-middle-prime-triplet","status":"publish","type":"post","link":"https:\/\/thomasjpitts.co.uk\/wordpress\/2013\/08\/21\/day-233-a-sexy-middle-prime-triplet\/","title":{"rendered":"Day 233: A Sexy Middle Prime Triplet"},"content":{"rendered":"<p>Geeky maths thing over with first, 233 is the middle of a triplet of <a class=\"zem_slink\" title=\"Sexy prime\" href=\"http:\/\/en.wikipedia.org\/wiki\/Sexy_prime\" target=\"_blank\" rel=\"wikipedia\">sexy primes<\/a>.<\/p>\n<p>Boiling this down to its constituent parts;<\/p>\n<ul>\n<li>a <a class=\"zem_slink\" title=\"Prime number\" href=\"http:\/\/en.wikipedia.org\/wiki\/Prime_number\" target=\"_blank\" rel=\"wikipedia\">prime number<\/a> is any (natural or counting &#8211; whole) number\u00a0greater than 1 that has no positive\u00a0divisors\u00a0other than 1 and itself. [1 is itself and so doesn&#8217;t apply before you start].<\/li>\n<li>a sexy prime number is where primes differ by 6.\u00a0For example, the numbers 5 and 11 are both sexy primes, because they differ by 6.<\/li>\n<li>they are called sexy because of the <a class=\"zem_slink\" title=\"Latin\" href=\"http:\/\/en.wikipedia.org\/wiki\/Latin\" target=\"_blank\" rel=\"wikipedia\">Latin word<\/a> for six: sex, as in sextuplets.<\/li>\n<\/ul>\n<p>Since 227 and 239 are both prime, 233 is part of a sexy prime triplet.<\/p>\n<p>It is possible to have sexy prime quintuplets (a run of 5 prime numbers, each with a difference of 6), but there are no larger groups. Challenge time, if you want a mention tomorrow, please comment on the post telling me the run of 5 sexy prime numbers&#8230;<\/p>\n<p style=\"text-align: center;\">&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;-<\/p>\n<p>So, back to today. Day 233 of this year brought a set of 6 <a class=\"zem_slink\" title=\"Geocaching\" href=\"http:\/\/en.wikipedia.org\/wiki\/Geocaching\" target=\"_blank\" rel=\"wikipedia\">geocaches<\/a>, 40 lengths of the local pool (800 metres), a fair bit of work done and a general feeling of niceness.<\/p>\n<p>Completing 40 lengths was a bit of a chore. I have painful shoulders at the moment &#8211; Mrs Pitts reckons it&#8217;s from conducting, I don&#8217;t know what it&#8217;s from &#8211; and I had to keep resting every so often in the pool. In previous visits, I had to rest because I was shattered, this time it was because I had little strength left. My speed dropped drastically from the beginning of the session.<\/p>\n<p>The 6 geocaches were all very quick and easy finds. We choose them because of that reason &#8211; we needed the numbers for our now well established aim.<\/p>\n<p><a href=\"https:\/\/i0.wp.com\/thomasjpitts.co.uk\/wp\/wp-content\/uploads\/2013\/08\/21st-August1.png\"><img data-recalc-dims=\"1\" loading=\"lazy\" decoding=\"async\" data-attachment-id=\"21339\" data-permalink=\"https:\/\/thomasjpitts.co.uk\/wordpress\/21st-august-2\/\" data-orig-file=\"https:\/\/i0.wp.com\/thomasjpitts.co.uk\/wordpress\/wp-content\/uploads\/2013\/08\/21st-August1.png?fit=320%2C480&amp;ssl=1\" data-orig-size=\"320,480\" data-comments-opened=\"1\" data-image-meta=\"{&quot;aperture&quot;:&quot;0&quot;,&quot;credit&quot;:&quot;&quot;,&quot;camera&quot;:&quot;&quot;,&quot;caption&quot;:&quot;&quot;,&quot;created_timestamp&quot;:&quot;0&quot;,&quot;copyright&quot;:&quot;&quot;,&quot;focal_length&quot;:&quot;0&quot;,&quot;iso&quot;:&quot;0&quot;,&quot;shutter_speed&quot;:&quot;0&quot;,&quot;title&quot;:&quot;&quot;,&quot;orientation&quot;:&quot;0&quot;}\" data-image-title=\"21st August\" data-image-description=\"\" data-image-caption=\"\" data-large-file=\"https:\/\/i0.wp.com\/thomasjpitts.co.uk\/wordpress\/wp-content\/uploads\/2013\/08\/21st-August1.png?fit=320%2C480&amp;ssl=1\" class=\"aligncenter size-full wp-image-21339\" alt=\"21st August\" src=\"https:\/\/i0.wp.com\/thomasjpitts.co.uk\/wp\/wp-content\/uploads\/2013\/08\/21st-August1.png?resize=320%2C480\" width=\"320\" height=\"480\" srcset=\"https:\/\/i0.wp.com\/thomasjpitts.co.uk\/wordpress\/wp-content\/uploads\/2013\/08\/21st-August1.png?w=320&amp;ssl=1 320w, https:\/\/i0.wp.com\/thomasjpitts.co.uk\/wordpress\/wp-content\/uploads\/2013\/08\/21st-August1.png?resize=200%2C300&amp;ssl=1 200w\" sizes=\"auto, (max-width: 320px) 100vw, 320px\" \/><\/a> <a href=\"https:\/\/i0.wp.com\/thomasjpitts.co.uk\/wp\/wp-content\/uploads\/2013\/08\/Day-21.png\"><img data-recalc-dims=\"1\" loading=\"lazy\" decoding=\"async\" data-attachment-id=\"21340\" data-permalink=\"https:\/\/thomasjpitts.co.uk\/wordpress\/day-21\/\" data-orig-file=\"https:\/\/i0.wp.com\/thomasjpitts.co.uk\/wordpress\/wp-content\/uploads\/2013\/08\/Day-21.png?fit=500%2C500&amp;ssl=1\" data-orig-size=\"500,500\" data-comments-opened=\"1\" data-image-meta=\"{&quot;aperture&quot;:&quot;0&quot;,&quot;credit&quot;:&quot;&quot;,&quot;camera&quot;:&quot;&quot;,&quot;caption&quot;:&quot;&quot;,&quot;created_timestamp&quot;:&quot;0&quot;,&quot;copyright&quot;:&quot;&quot;,&quot;focal_length&quot;:&quot;0&quot;,&quot;iso&quot;:&quot;0&quot;,&quot;shutter_speed&quot;:&quot;0&quot;,&quot;title&quot;:&quot;&quot;,&quot;orientation&quot;:&quot;0&quot;}\" data-image-title=\"Day 21\" data-image-description=\"\" data-image-caption=\"\" data-large-file=\"https:\/\/i0.wp.com\/thomasjpitts.co.uk\/wordpress\/wp-content\/uploads\/2013\/08\/Day-21.png?fit=500%2C500&amp;ssl=1\" class=\"aligncenter size-full wp-image-21340\" alt=\"Day 21\" src=\"https:\/\/i0.wp.com\/thomasjpitts.co.uk\/wp\/wp-content\/uploads\/2013\/08\/Day-21.png?resize=500%2C500\" width=\"500\" height=\"500\" srcset=\"https:\/\/i0.wp.com\/thomasjpitts.co.uk\/wordpress\/wp-content\/uploads\/2013\/08\/Day-21.png?w=500&amp;ssl=1 500w, https:\/\/i0.wp.com\/thomasjpitts.co.uk\/wordpress\/wp-content\/uploads\/2013\/08\/Day-21.png?resize=150%2C150&amp;ssl=1 150w, https:\/\/i0.wp.com\/thomasjpitts.co.uk\/wordpress\/wp-content\/uploads\/2013\/08\/Day-21.png?resize=300%2C300&amp;ssl=1 300w\" sizes=\"auto, (max-width: 500px) 100vw, 500px\" \/><\/a><\/p>\n<p>More preparation was done for the forthcoming school year. Still lots to do but the mental list of jobs is getting ever shorter.<\/p>\n<p>See what I mean about a general nice feeling? And a pain in the shoulder?<\/p>\n<h6 class=\"zemanta-related-title\" style=\"font-size: 1em;\">Related articles<\/h6>\n<ul class=\"zemanta-article-ul zemanta-article-ul-image\" style=\"margin: 0; padding: 0; overflow: hidden;\">\n<li class=\"zemanta-article-ul-li-image zemanta-article-ul-li\" style=\"padding: 0; background: none; list-style: none; display: block; float: left; vertical-align: top; text-align: left; width: 84px; font-size: 11px; margin: 2px 10px 10px 2px;\"><a style=\"box-shadow: 0px 0px 4px #999; padding: 2px; display: block; border-radius: 2px; text-decoration: none;\" href=\"http:\/\/choiceofneurosis.wordpress.com\/2013\/07\/28\/sexy-prime-numbers\/\" target=\"_blank\"><img data-recalc-dims=\"1\" decoding=\"async\" style=\"padding: 0; margin: 0; border: 0; display: block; width: 80px; max-width: 100%;\" alt=\"\" src=\"https:\/\/i0.wp.com\/thomasjpitts.co.uk\/wp\/wp-content\/uploads\/2013\/08\/188918748_80_80.jpg?w=1165\" \/><\/a><a style=\"display: block; overflow: hidden; text-decoration: none; line-height: 12pt; height: 80px; padding: 5px 2px 0 2px;\" href=\"http:\/\/choiceofneurosis.wordpress.com\/2013\/07\/28\/sexy-prime-numbers\/\" target=\"_blank\">Sexy Prime (Numbers)<\/a><\/li>\n<li class=\"zemanta-article-ul-li-image zemanta-article-ul-li\" style=\"padding: 0; background: none; list-style: none; display: block; float: left; vertical-align: top; text-align: left; width: 84px; font-size: 11px; margin: 2px 10px 10px 2px;\"><a style=\"box-shadow: 0px 0px 4px #999; padding: 2px; display: block; border-radius: 2px; text-decoration: none;\" href=\"http:\/\/r.zemanta.com\/?u=http%3A\/\/www.theguardian.com\/science\/shortcuts\/2013\/aug\/21\/favourite-number-marissa-mayer-yahoo&amp;a=195729543&amp;rid=a4d8c684-eb3f-42bf-836f-277ba97f873f&amp;e=d4a2f08e6e225cfe1e423a8dfff2105f\" target=\"_blank\"><img data-recalc-dims=\"1\" decoding=\"async\" style=\"padding: 0; margin: 0; border: 0; display: block; width: 80px; max-width: 100%;\" alt=\"\" src=\"https:\/\/i0.wp.com\/thomasjpitts.co.uk\/wp\/wp-content\/uploads\/2013\/08\/noimg_113_80_80.jpg?w=1165\" \/><\/a><a style=\"display: block; overflow: hidden; text-decoration: none; line-height: 12pt; height: 80px; padding: 5px 2px 0 2px;\" href=\"http:\/\/r.zemanta.com\/?u=http%3A\/\/www.theguardian.com\/science\/shortcuts\/2013\/aug\/21\/favourite-number-marissa-mayer-yahoo&amp;a=195729543&amp;rid=a4d8c684-eb3f-42bf-836f-277ba97f873f&amp;e=d4a2f08e6e225cfe1e423a8dfff2105f\" target=\"_blank\">Do you have a favourite number?<\/a><\/li>\n<\/ul>\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>Geeky maths thing over with first, 233 is the middle of a triplet of sexy primes. Boiling this down to its constituent parts; a prime number is any (natural or counting &#8211; whole) number\u00a0greater than 1 that has no positive\u00a0divisors\u00a0other than 1 and itself. [1 is itself and so doesn&#8217;t apply before you start]. a [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":21338,"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":[2,42,18],"tags":[1238,1737,1909,1910,2199,2296,2436,2440,2704,2920],"class_list":["post-21337","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-2","category-geocaching-hobbies","category-maths","tag-geeky-maths-things","tag-latin","tag-math","tag-mathematics","tag-number-theory","tag-parity-mathematics","tag-primality-test","tag-prime-number","tag-sexy-prime","tag-swimming","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":"https:\/\/i0.wp.com\/thomasjpitts.co.uk\/wordpress\/wp-content\/uploads\/2013\/08\/21.png?fit=100%2C100&ssl=1","jetpack_sharing_enabled":true,"jetpack_shortlink":"https:\/\/wp.me\/p6OeSW-5y9","jetpack-related-posts":[],"builder_content":"","_links":{"self":[{"href":"https:\/\/thomasjpitts.co.uk\/wordpress\/wp-json\/wp\/v2\/posts\/21337","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=21337"}],"version-history":[{"count":0,"href":"https:\/\/thomasjpitts.co.uk\/wordpress\/wp-json\/wp\/v2\/posts\/21337\/revisions"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/thomasjpitts.co.uk\/wordpress\/wp-json\/wp\/v2\/media\/21338"}],"wp:attachment":[{"href":"https:\/\/thomasjpitts.co.uk\/wordpress\/wp-json\/wp\/v2\/media?parent=21337"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/thomasjpitts.co.uk\/wordpress\/wp-json\/wp\/v2\/categories?post=21337"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/thomasjpitts.co.uk\/wordpress\/wp-json\/wp\/v2\/tags?post=21337"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}