{"id":7709,"date":"2015-10-04T16:55:13","date_gmt":"2015-10-05T00:55:13","guid":{"rendered":"http:\/\/experimentalmath.info\/blog\/?p=7709"},"modified":"2015-10-04T17:23:29","modified_gmt":"2015-10-05T01:23:29","slug":"a-prime-puzzle-in-honor-of-richard-crandall","status":"publish","type":"post","link":"https:\/\/experimentalmath.info\/blog\/2015\/10\/a-prime-puzzle-in-honor-of-richard-crandall\/","title":{"rendered":"A prime puzzle in honor of Richard Crandall"},"content":{"rendered":"<p><strong>From David Broadhurst, October 5, 2015<\/strong>.<\/p>\n<p>In honour of the memory of <a href=\"https:\/\/experimentalmath.info\/blog\/2012\/12\/mathematicianphysicistinventor-richard-crandall-dies-at-64\/\">Richard Crandall<\/a> (1947-2012), I\u00a0have devised a puzzle on prime numbers obtained from <a href=\"https:\/\/www.carma.newcastle.edu.au\/jon\/b3gf.pdf\">moments\u00a0<\/a><span style=\"text-align: right; line-height: 1.5;\"><a href=\"https:\/\/www.carma.newcastle.edu.au\/jon\/b3gf.pdf\">of Bessel functions<\/a>:<\/span><\/p>\n<div id=\"attachment_7714\" style=\"width: 235px\" class=\"wp-caption alignright\"><a href=\"https:\/\/experimentalmath.info\/blog\/wp-content\/uploads\/2015\/10\/crandallD-225x300.jpg\"><img loading=\"lazy\" decoding=\"async\" aria-describedby=\"caption-attachment-7714\" src=\"https:\/\/experimentalmath.info\/blog\/wp-content\/uploads\/2015\/10\/crandallD-225x300.jpg\" alt=\"Richard Crandall\" width=\"225\" height=\"300\" class=\"size-full wp-image-7714\" data-wp-pid=\"7714\" srcset=\"https:\/\/experimentalmath.info\/blog\/wp-content\/uploads\/2015\/10\/crandallD-225x300.jpg 225w, https:\/\/experimentalmath.info\/blog\/wp-content\/uploads\/2015\/10\/crandallD-225x300-113x150.jpg 113w\" sizes=\"auto, (max-width: 225px) 100vw, 225px\" \/><\/a><p id=\"caption-attachment-7714\" class=\"wp-caption-text\">Richard Crandall<\/p><\/div>\n<p>&nbsp;<\/p>\n<p>I commend this puzzle to Richard&#8217;s many colleagues, noting\u00a0that &#8220;hand-to-hand combat with thousand-digit integrals&#8221; may\u00a0be insufficient to solve it, without using brain as well as\u00a0brawn. I have prepared a solution, together with a heuristic\u00a0analysis that I think Richard would have liked. This will be\u00a0released at the end of the year. Until then, happy puzzling.<\/p>\n<p>Here is the mathematical description of the puzzle:<br \/>\n<a href=\"http:\/\/physics.open.ac.uk\/~dbroadhu\/recmem.pdf\">Puzzle Description<\/a>.<\/p>\n<p>&nbsp;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>From David Broadhurst, October 5, 2015.<\/p>\n<p>In honour of the memory of Richard Crandall (1947-2012), I have devised a puzzle on prime numbers obtained from moments of Bessel functions:<\/p>\n<p id=\"caption-attachment-7714\" class=\"wp-caption-text\">Richard Crandall<\/p>\n<p>&nbsp;<\/p>\n<p>I commend this puzzle to Richard&#8217;s many colleagues, noting that &#8220;hand-to-hand combat with thousand-digit integrals&#8221; may be insufficient to solve it, without using brain as well as brawn. I have prepared a solution, together with a heuristic analysis that I think Richard would have liked. This will be released at the end of the year. Until then, happy puzzling.<\/p>\n<p>Here is the mathematical description of the <\/p>\n<p>Continue reading <a href=\"https:\/\/experimentalmath.info\/blog\/2015\/10\/a-prime-puzzle-in-honor-of-richard-crandall\/\">A prime puzzle in honor of Richard Crandall<\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[4],"tags":[],"class_list":["post-7709","post","type-post","status-publish","format-standard","hentry","category-essays","odd"],"_links":{"self":[{"href":"https:\/\/experimentalmath.info\/blog\/wp-json\/wp\/v2\/posts\/7709","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/experimentalmath.info\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/experimentalmath.info\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/experimentalmath.info\/blog\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/experimentalmath.info\/blog\/wp-json\/wp\/v2\/comments?post=7709"}],"version-history":[{"count":9,"href":"https:\/\/experimentalmath.info\/blog\/wp-json\/wp\/v2\/posts\/7709\/revisions"}],"predecessor-version":[{"id":7721,"href":"https:\/\/experimentalmath.info\/blog\/wp-json\/wp\/v2\/posts\/7709\/revisions\/7721"}],"wp:attachment":[{"href":"https:\/\/experimentalmath.info\/blog\/wp-json\/wp\/v2\/media?parent=7709"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/experimentalmath.info\/blog\/wp-json\/wp\/v2\/categories?post=7709"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/experimentalmath.info\/blog\/wp-json\/wp\/v2\/tags?post=7709"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}