{"id":383,"date":"2026-09-27T17:27:59","date_gmt":"2026-09-27T17:27:59","guid":{"rendered":"https:\/\/mathrelated.co.uk\/?p=383"},"modified":"2026-09-27T17:27:59","modified_gmt":"2026-09-27T17:27:59","slug":"ruling-out-pseudoprimes-part-3","status":"publish","type":"post","link":"https:\/\/mathrelated.co.uk\/index.php\/2026\/09\/27\/ruling-out-pseudoprimes-part-3\/","title":{"rendered":"Ruling out Pseudoprimes &#8211; part 3"},"content":{"rendered":"\n<p class=\"wp-block-paragraph\">In this post we continue through the OEIS 047713 Pseudoprimes tabulating the results of power (p-1)\/4 as a filter<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"650\" height=\"855\" src=\"https:\/\/mathrelated.co.uk\/wp-content\/uploads\/2026\/09\/mathsturdyChap34rulingoutpseudoprimes3table1.jpeg\" alt=\"Table of Pseudoprimes starting at 745889\" class=\"wp-image-384\" srcset=\"https:\/\/mathrelated.co.uk\/wp-content\/uploads\/2026\/09\/mathsturdyChap34rulingoutpseudoprimes3table1.jpeg 650w, https:\/\/mathrelated.co.uk\/wp-content\/uploads\/2026\/09\/mathsturdyChap34rulingoutpseudoprimes3table1-228x300.jpeg 228w\" sizes=\"auto, (max-width: 650px) 100vw, 650px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"650\" height=\"907\" src=\"https:\/\/mathrelated.co.uk\/wp-content\/uploads\/2026\/09\/mathsturdyChap34rulingoutpseudoprimes3table2.jpeg\" alt=\"Table of Pseudoprimes starting at 1194649\" class=\"wp-image-385\" srcset=\"https:\/\/mathrelated.co.uk\/wp-content\/uploads\/2026\/09\/mathsturdyChap34rulingoutpseudoprimes3table2.jpeg 650w, https:\/\/mathrelated.co.uk\/wp-content\/uploads\/2026\/09\/mathsturdyChap34rulingoutpseudoprimes3table2-215x300.jpeg 215w\" sizes=\"auto, (max-width: 650px) 100vw, 650px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"644\" height=\"287\" src=\"https:\/\/mathrelated.co.uk\/wp-content\/uploads\/2026\/09\/mathsturdyChap34rulingoutpseudoprimes3countsplus.jpeg\" alt=\"counts and conclusions based on the 60 Pseudoprimes tested\" class=\"wp-image-386\" srcset=\"https:\/\/mathrelated.co.uk\/wp-content\/uploads\/2026\/09\/mathsturdyChap34rulingoutpseudoprimes3countsplus.jpeg 644w, https:\/\/mathrelated.co.uk\/wp-content\/uploads\/2026\/09\/mathsturdyChap34rulingoutpseudoprimes3countsplus-300x134.jpeg 300w\" sizes=\"auto, (max-width: 644px) 100vw, 644px\" \/><\/figure>\n","protected":false},"excerpt":{"rendered":"<p>In this post we continue through the OEIS 047713 Pseudoprimes tabulating the results of power (p-1)\/4 as a filter<\/p>\n","protected":false},"author":2,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[5,6],"tags":[14,13],"class_list":["post-383","post","type-post","status-publish","format-standard","hentry","category-mathematics","category-numbertheory","tag-prime","tag-probableprime"],"_links":{"self":[{"href":"https:\/\/mathrelated.co.uk\/index.php\/wp-json\/wp\/v2\/posts\/383","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/mathrelated.co.uk\/index.php\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/mathrelated.co.uk\/index.php\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/mathrelated.co.uk\/index.php\/wp-json\/wp\/v2\/users\/2"}],"replies":[{"embeddable":true,"href":"https:\/\/mathrelated.co.uk\/index.php\/wp-json\/wp\/v2\/comments?post=383"}],"version-history":[{"count":1,"href":"https:\/\/mathrelated.co.uk\/index.php\/wp-json\/wp\/v2\/posts\/383\/revisions"}],"predecessor-version":[{"id":387,"href":"https:\/\/mathrelated.co.uk\/index.php\/wp-json\/wp\/v2\/posts\/383\/revisions\/387"}],"wp:attachment":[{"href":"https:\/\/mathrelated.co.uk\/index.php\/wp-json\/wp\/v2\/media?parent=383"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/mathrelated.co.uk\/index.php\/wp-json\/wp\/v2\/categories?post=383"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/mathrelated.co.uk\/index.php\/wp-json\/wp\/v2\/tags?post=383"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}