{"id":11081,"date":"2023-12-09T14:05:46","date_gmt":"2023-12-09T17:05:46","guid":{"rendered":"https:\/\/numbers-magic.com\/?p=11081"},"modified":"2023-12-09T14:06:43","modified_gmt":"2023-12-09T17:06:43","slug":"343rd-to-350th-days-of-year-09-12-23-a-16-12-23-embedded-prime-patterns-running-expressions-and-pythagorean-triples","status":"publish","type":"post","link":"https:\/\/numbers-magic.com\/?p=11081","title":{"rendered":"343rd to 350th Days of Year: 09.12.23 a 16.12.23 &#8211; Embedded Prime Patterns and Running Expressions"},"content":{"rendered":"<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full\"><img fetchpriority=\"high\" decoding=\"async\" width=\"1089\" height=\"1645\" src=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2023\/12\/091223.png\" alt=\"\" class=\"wp-image-11082\" srcset=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2023\/12\/091223.png 1089w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2023\/12\/091223-199x300.png 199w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2023\/12\/091223-678x1024.png 678w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2023\/12\/091223-768x1160.png 768w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2023\/12\/091223-535x808.png 535w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2023\/12\/091223-1017x1536.png 1017w\" sizes=\"(max-width: 1089px) 100vw, 1089px\" \/><\/figure>\n<\/div>\n\n\n<p><\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full\"><img decoding=\"async\" width=\"1084\" height=\"1641\" src=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2023\/12\/13161223.png\" alt=\"\" class=\"wp-image-11083\" srcset=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2023\/12\/13161223.png 1084w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2023\/12\/13161223-198x300.png 198w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2023\/12\/13161223-676x1024.png 676w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2023\/12\/13161223-768x1163.png 768w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2023\/12\/13161223-535x810.png 535w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2023\/12\/13161223-1015x1536.png 1015w\" sizes=\"(max-width: 1084px) 100vw, 1084px\" \/><\/figure>\n<\/div>\n\n\n<h2 class=\"wp-block-heading has-text-align-center has-blush-light-purple-gradient-background has-background\">References<\/h2>\n\n\n\n<p><\/p>\n\n\n\n<ol class=\"has-light-green-cyan-to-vivid-green-cyan-gradient-background has-background wp-block-list\">\n<li><strong>Inder J. Taneja<\/strong>,&nbsp;<em>Same Digits Embedded Palprimes of Lengths 3, 5 and 7<\/em>,&nbsp;<strong>Zenodo<\/strong>, August 08, 2020, pp. 1-315,&nbsp;<a rel=\"noreferrer noopener\" href=\"http:\/\/doi.org\/10.5281\/zenodo.3977028\" target=\"_blank\">http:\/\/doi.org\/10.5281\/zenodo.3977028<\/a>.<\/li>\n\n\n\n<li><strong>Inder J. Taneja<\/strong>,&nbsp;<em>3 and 5-Digits Multiple Choice Embedded Palprimes<\/em>,&nbsp;<strong>Zenodo<\/strong>, December 05, 2020, pp. 1-511,&nbsp;<a rel=\"noreferrer noopener\" href=\"http:\/\/doi.org\/10.5281\/zenodo.4307875\" target=\"_blank\">http:\/\/doi.org\/10.5281\/zenodo.4307875<\/a>.<\/li>\n\n\n\n<li><strong>Inder J. Taneja<\/strong>,&nbsp;<em>Running Expressions in Increasing and Decreasing Orders of Natural Numbers Separated by Equality Signs<\/em>, RGMIA Research Report Collection,&nbsp;<strong>18<\/strong>(2015), Article 27, pp.1-54,&nbsp;<a href=\"http:\/\/rgmia.org\/papers\/v18\/v18a27.pdf\" target=\"_blank\" rel=\"noreferrer noopener\">http:\/\/rgmia.org\/papers\/v18\/v18a27.pdf<\/a>.<\/li>\n\n\n\n<li><strong>Inder J. Taneja<\/strong>,&nbsp;<em>Running Expressions with Equalities: Increasing and Decreasing Orders \u2013 I<\/em>, RGMIA Research Report Collection,&nbsp;<strong>20<\/strong>(2017), Art. 33, pp.1-57,&nbsp;<a href=\"http:\/\/rgmia.org\/papers\/v20\/v20a33.pdf\">http:\/\/rgmia.org\/papers\/v20\/v20a33.pdf<\/a>.<\/li>\n\n\n\n<li><strong>Inder J. Taneja<\/strong>,&nbsp;<em>Running Expressions with Equalities: Increasing and Decreasing Orders \u2013 II<\/em>, RGMIA Research Report Collection,&nbsp;<strong>20<\/strong>(2017), Art. 34, pp.1-87,&nbsp;<a rel=\"noreferrer noopener\" href=\"http:\/\/rgmia.org\/papers\/v20\/v20a34.pdf\" target=\"_blank\">http:\/\/rgmia.org\/papers\/v20\/v20a34.pdf<\/a>.<\/li>\n\n\n\n<li><strong>Inder J. Taneja<\/strong>,&nbsp;<em>Fibonacci Sequence and Running Expressions with Equalities \u2013 I<\/em>, RGMIA Research Report Collection,&nbsp;<strong>20<\/strong>(2017), Art. 35, pp. 1-83,&nbsp;<a rel=\"noreferrer noopener\" href=\"http:\/\/rgmia.org\/papers\/v20\/v20a35.pdf\" target=\"_blank\">http:\/\/rgmia.org\/papers\/v20\/v20a35.pdf<\/a>.<\/li>\n\n\n\n<li><strong>Inder J. Taneja<\/strong>,&nbsp;<em>Running Expressions with Triangular Numbers \u2013 I<\/em>,&nbsp;<strong>Zenodo<\/strong>, December 21, 2018,&nbsp;<a href=\"http:\/\/doi.org\/10.5281\/zenodo.2483327\">http:\/\/doi.org\/10.5281\/zenodo.2483327<\/a>.<\/li>\n\n\n\n<li><strong>Inder J. Taneja<\/strong>,&nbsp;<em>Crazy Running Equality Expressions with Factorial and Square-Root<\/em>,&nbsp;<strong>Zenodo<\/strong>, December 06, 2021, pp. 1-464,&nbsp;<a href=\"https:\/\/doi.org\/10.5281\/zenodo.5761752\">https:\/\/doi.org\/10.5281\/zenodo.5761752<\/a>.<\/li>\n\n\n\n<li><strong>Inder J. Taneja<\/strong>,&nbsp;<em>Palindromic-Type Pandigital Patterns in Pythagorean Triples<\/em>,&nbsp;<strong>Zenodo<\/strong>, January 20, 2019, pp. 1-160,&nbsp;<a rel=\"noreferrer noopener\" href=\"http:\/\/doi.org\/10.5281\/zenodo.2544551\" target=\"_blank\">http:\/\/doi.org\/10.5281\/zenodo.2544551<\/a>.<\/li>\n\n\n\n<li><strong>Inder J. Taneja<\/strong>, Patterns in Pythagorean Triples,&nbsp;<strong>Zenodo<\/strong>, March 13, 1-136, 2021,&nbsp; <a href=\"http:\/\/doi.org\/10.5281\/zenodo.4603197\">http:\/\/doi.org\/10.5281\/zenodo.4603197<\/a>.<\/li>\n<\/ol>\n","protected":false},"excerpt":{"rendered":"<p>References<\/p>\n","protected":false},"author":1,"featured_media":11084,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"_jetpack_memberships_contains_paid_content":false,"footnotes":""},"categories":[1],"tags":[],"class_list":["post-11081","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-days-of-year"],"jetpack_featured_media_url":"https:\/\/numbers-magic.com\/wp-content\/uploads\/2023\/12\/fi-13161223.png","jetpack_sharing_enabled":true,"_links":{"self":[{"href":"https:\/\/numbers-magic.com\/index.php?rest_route=\/wp\/v2\/posts\/11081","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/numbers-magic.com\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/numbers-magic.com\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/numbers-magic.com\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/numbers-magic.com\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=11081"}],"version-history":[{"count":2,"href":"https:\/\/numbers-magic.com\/index.php?rest_route=\/wp\/v2\/posts\/11081\/revisions"}],"predecessor-version":[{"id":11086,"href":"https:\/\/numbers-magic.com\/index.php?rest_route=\/wp\/v2\/posts\/11081\/revisions\/11086"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/numbers-magic.com\/index.php?rest_route=\/wp\/v2\/media\/11084"}],"wp:attachment":[{"href":"https:\/\/numbers-magic.com\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=11081"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/numbers-magic.com\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=11081"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/numbers-magic.com\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=11081"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}