{"id":2976,"date":"2019-04-12T06:20:32","date_gmt":"2019-04-12T06:20:32","guid":{"rendered":"https:\/\/www.goodsoul.us\/?p=2976"},"modified":"2019-04-13T00:03:03","modified_gmt":"2019-04-13T00:03:03","slug":"prime-trivia","status":"publish","type":"post","link":"https:\/\/www.goodsoul.us\/?p=2976","title":{"rendered":"Prime Trivia"},"content":{"rendered":"

“First \u2013 and this begins to get technical \u2013 note that if a number is a composite, such as n=ab, then a and b cannot both exceed \u221an. For example, with the composite \u201c21\u201d \u2013 21=3×7 \u2013 only 7 is bigger than \u221a21 = 4.58. Therefore, he determined that any composite integer n is divisible by a prime p that does not exceed \u221an”<\/span><\/p>\n

So how might one represent that rule in binary – or how would one relate the <\/span>square root of a composite number to a smaller prime number? Is there a bit of bit shuffling magic <\/span>possible???<\/span><\/span><\/p>\n

“<\/span>It follows from this that to test for primes it is only necessary to divide a number by numbers less than or equal to its square root. To find primes from 2 to 30, then, we need only use the fact that \u221a30 is less than 7, and work with the primes 2, 3 and 5.<\/span>“<\/span><\/span><\/p>\n","protected":false},"excerpt":{"rendered":"

“First \u2013 and this begins to get technical \u2013 note that if a number is a composite, such as n=ab, […]<\/p>\n","protected":false},"author":6,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"site-sidebar-layout":"default","site-content-layout":"","ast-site-content-layout":"default","site-content-style":"default","site-sidebar-style":"default","ast-global-header-display":"","ast-banner-title-visibility":"","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"","ast-breadcrumbs-content":"","ast-featured-img":"","footer-sml-layout":"","ast-disable-related-posts":"","theme-transparent-header-meta":"","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":"","astra-migrate-meta-layouts":"default","ast-page-background-enabled":"default","ast-page-background-meta":{"desktop":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"ast-content-background-meta":{"desktop":{"background-color":"var(--ast-global-color-4)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"var(--ast-global-color-4)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"var(--ast-global-color-4)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"_jetpack_memberships_contains_paid_content":false,"footnotes":""},"categories":[1],"tags":[],"class_list":["post-2976","post","type-post","status-publish","format-standard","hentry","category-uncategorized"],"jetpack_featured_media_url":"","jetpack_sharing_enabled":true,"jetpack_shortlink":"https:\/\/wp.me\/p2R4NI-M0","_links":{"self":[{"href":"https:\/\/www.goodsoul.us\/index.php?rest_route=\/wp\/v2\/posts\/2976","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.goodsoul.us\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.goodsoul.us\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.goodsoul.us\/index.php?rest_route=\/wp\/v2\/users\/6"}],"replies":[{"embeddable":true,"href":"https:\/\/www.goodsoul.us\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=2976"}],"version-history":[{"count":4,"href":"https:\/\/www.goodsoul.us\/index.php?rest_route=\/wp\/v2\/posts\/2976\/revisions"}],"predecessor-version":[{"id":2996,"href":"https:\/\/www.goodsoul.us\/index.php?rest_route=\/wp\/v2\/posts\/2976\/revisions\/2996"}],"wp:attachment":[{"href":"https:\/\/www.goodsoul.us\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=2976"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.goodsoul.us\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=2976"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.goodsoul.us\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=2976"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}