{"id":378,"date":"2026-09-27T17:22:35","date_gmt":"2026-09-27T17:22:35","guid":{"rendered":"https:\/\/mathrelated.co.uk\/?p=378"},"modified":"2026-09-27T17:22:35","modified_gmt":"2026-09-27T17:22:35","slug":"ruling-out-pseudoprimes-part-2","status":"publish","type":"post","link":"https:\/\/mathrelated.co.uk\/index.php\/2026\/09\/27\/ruling-out-pseudoprimes-part-2\/","title":{"rendered":"Ruling out Pseudoprimes &#8211; part 2"},"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=\"649\" height=\"852\" src=\"https:\/\/mathrelated.co.uk\/wp-content\/uploads\/2026\/09\/mathsturdyChap33rulingoutpseudoprimes2table1.jpeg\" alt=\"Table of Pseudoprimes starting at 113201\" class=\"wp-image-379\" srcset=\"https:\/\/mathrelated.co.uk\/wp-content\/uploads\/2026\/09\/mathsturdyChap33rulingoutpseudoprimes2table1.jpeg 649w, https:\/\/mathrelated.co.uk\/wp-content\/uploads\/2026\/09\/mathsturdyChap33rulingoutpseudoprimes2table1-229x300.jpeg 229w\" sizes=\"auto, (max-width: 649px) 100vw, 649px\" \/><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\">.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"652\" height=\"904\" src=\"https:\/\/mathrelated.co.uk\/wp-content\/uploads\/2026\/09\/mathsturdyChap33rulingoutpseudoprimes2table2.jpeg\" alt=\"Table of Pseudoprimes starting at 357761\" class=\"wp-image-380\" srcset=\"https:\/\/mathrelated.co.uk\/wp-content\/uploads\/2026\/09\/mathsturdyChap33rulingoutpseudoprimes2table2.jpeg 652w, https:\/\/mathrelated.co.uk\/wp-content\/uploads\/2026\/09\/mathsturdyChap33rulingoutpseudoprimes2table2-216x300.jpeg 216w\" sizes=\"auto, (max-width: 652px) 100vw, 652px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"646\" height=\"289\" src=\"https:\/\/mathrelated.co.uk\/wp-content\/uploads\/2026\/09\/mathsturdyChap33rulingoutpseudoprimes2countsplus.jpeg\" alt=\"Summary of counts and conclusions based on the 60 items tested\" class=\"wp-image-381\" srcset=\"https:\/\/mathrelated.co.uk\/wp-content\/uploads\/2026\/09\/mathsturdyChap33rulingoutpseudoprimes2countsplus.jpeg 646w, https:\/\/mathrelated.co.uk\/wp-content\/uploads\/2026\/09\/mathsturdyChap33rulingoutpseudoprimes2countsplus-300x134.jpeg 300w\" sizes=\"auto, (max-width: 646px) 100vw, 646px\" \/><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\"><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><\/p>\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-378","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\/378","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=378"}],"version-history":[{"count":1,"href":"https:\/\/mathrelated.co.uk\/index.php\/wp-json\/wp\/v2\/posts\/378\/revisions"}],"predecessor-version":[{"id":382,"href":"https:\/\/mathrelated.co.uk\/index.php\/wp-json\/wp\/v2\/posts\/378\/revisions\/382"}],"wp:attachment":[{"href":"https:\/\/mathrelated.co.uk\/index.php\/wp-json\/wp\/v2\/media?parent=378"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/mathrelated.co.uk\/index.php\/wp-json\/wp\/v2\/categories?post=378"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/mathrelated.co.uk\/index.php\/wp-json\/wp\/v2\/tags?post=378"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}