{"id":388,"date":"2026-09-27T17:51:27","date_gmt":"2026-09-27T17:51:27","guid":{"rendered":"https:\/\/mathrelated.co.uk\/?p=388"},"modified":"2026-09-27T17:51:27","modified_gmt":"2026-09-27T17:51:27","slug":"ruling-out-pseudoprimes-part-4","status":"publish","type":"post","link":"https:\/\/mathrelated.co.uk\/index.php\/2026\/09\/27\/ruling-out-pseudoprimes-part-4\/","title":{"rendered":"Ruling out Pseudoprimes &#8211; part 4"},"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<br><\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"651\" height=\"855\" src=\"https:\/\/mathrelated.co.uk\/wp-content\/uploads\/2026\/09\/mathsturdyChap35rulingoutpseudoprimes4table1.jpeg\" alt=\"Table of pseudoprimes starting at 1678541\" class=\"wp-image-389\" srcset=\"https:\/\/mathrelated.co.uk\/wp-content\/uploads\/2026\/09\/mathsturdyChap35rulingoutpseudoprimes4table1.jpeg 651w, https:\/\/mathrelated.co.uk\/wp-content\/uploads\/2026\/09\/mathsturdyChap35rulingoutpseudoprimes4table1-228x300.jpeg 228w\" sizes=\"auto, (max-width: 651px) 100vw, 651px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"650\" height=\"910\" src=\"https:\/\/mathrelated.co.uk\/wp-content\/uploads\/2026\/09\/mathsturdyChap35rulingoutpseudoprimes4table2.jpeg\" alt=\"Table of pseudoprimes starting at 2232865\" class=\"wp-image-390\" srcset=\"https:\/\/mathrelated.co.uk\/wp-content\/uploads\/2026\/09\/mathsturdyChap35rulingoutpseudoprimes4table2.jpeg 650w, https:\/\/mathrelated.co.uk\/wp-content\/uploads\/2026\/09\/mathsturdyChap35rulingoutpseudoprimes4table2-214x300.jpeg 214w\" 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=\"653\" height=\"290\" src=\"https:\/\/mathrelated.co.uk\/wp-content\/uploads\/2026\/09\/mathsturdyChap35rulingoutpseudoprimes4countsplus.jpeg\" alt=\"Counts and conclusions based on 60 pseudoprime table\" class=\"wp-image-391\" srcset=\"https:\/\/mathrelated.co.uk\/wp-content\/uploads\/2026\/09\/mathsturdyChap35rulingoutpseudoprimes4countsplus.jpeg 653w, https:\/\/mathrelated.co.uk\/wp-content\/uploads\/2026\/09\/mathsturdyChap35rulingoutpseudoprimes4countsplus-300x133.jpeg 300w\" sizes=\"auto, (max-width: 653px) 100vw, 653px\" \/><\/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-388","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\/388","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=388"}],"version-history":[{"count":1,"href":"https:\/\/mathrelated.co.uk\/index.php\/wp-json\/wp\/v2\/posts\/388\/revisions"}],"predecessor-version":[{"id":392,"href":"https:\/\/mathrelated.co.uk\/index.php\/wp-json\/wp\/v2\/posts\/388\/revisions\/392"}],"wp:attachment":[{"href":"https:\/\/mathrelated.co.uk\/index.php\/wp-json\/wp\/v2\/media?parent=388"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/mathrelated.co.uk\/index.php\/wp-json\/wp\/v2\/categories?post=388"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/mathrelated.co.uk\/index.php\/wp-json\/wp\/v2\/tags?post=388"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}