{"id":11026,"date":"2023-12-01T15:49:02","date_gmt":"2023-12-01T18:49:02","guid":{"rendered":"https:\/\/numbers-magic.com\/?p=11026"},"modified":"2023-12-01T15:49:03","modified_gmt":"2023-12-01T18:49:03","slug":"335th-to-342nd-days-of-year-01-12-23-a-08-12-23-prime-patterns-running-expressions-and-pythagorean-triples","status":"publish","type":"post","link":"https:\/\/numbers-magic.com\/?p=11026","title":{"rendered":"335th to 342nd Days of Year: 01.12.23 a 08.12.23 &#8211; Prime Patterns, Running Expressions and Pythagorean Triples"},"content":{"rendered":"<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full\"><img fetchpriority=\"high\" decoding=\"async\" width=\"1069\" height=\"1752\" src=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2023\/12\/01041223.png\" alt=\"\" class=\"wp-image-11027\" srcset=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2023\/12\/01041223.png 1069w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2023\/12\/01041223-183x300.png 183w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2023\/12\/01041223-625x1024.png 625w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2023\/12\/01041223-768x1259.png 768w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2023\/12\/01041223-535x877.png 535w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2023\/12\/01041223-937x1536.png 937w\" sizes=\"(max-width: 1069px) 100vw, 1069px\" \/><\/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=\"1073\" height=\"1708\" src=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2023\/12\/05081223.png\" alt=\"\" class=\"wp-image-11028\" srcset=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2023\/12\/05081223.png 1073w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2023\/12\/05081223-188x300.png 188w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2023\/12\/05081223-643x1024.png 643w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2023\/12\/05081223-768x1223.png 768w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2023\/12\/05081223-535x852.png 535w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2023\/12\/05081223-965x1536.png 965w\" sizes=\"(max-width: 1073px) 100vw, 1073px\" \/><\/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>,\u00a0<em>Running Expressions in Increasing and Decreasing Orders of Natural Numbers Separated by Equality Signs<\/em>, RGMIA Research Report Collection,\u00a0<strong>18<\/strong>(2015), Article 27, pp.1-54,\u00a0<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>,\u00a0<em>Crazy Running Equality Expressions with Factorial and Square-Root<\/em>,\u00a0<strong>Zenodo<\/strong>, December 06, 2021, pp. 1-464,\u00a0<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,\u00a0<strong>Zenodo<\/strong>, March 13, 1-136, 2021,\u00a0 <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":11029,"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-11026","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-05081223.png","jetpack_sharing_enabled":true,"_links":{"self":[{"href":"https:\/\/numbers-magic.com\/index.php?rest_route=\/wp\/v2\/posts\/11026","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=11026"}],"version-history":[{"count":1,"href":"https:\/\/numbers-magic.com\/index.php?rest_route=\/wp\/v2\/posts\/11026\/revisions"}],"predecessor-version":[{"id":11030,"href":"https:\/\/numbers-magic.com\/index.php?rest_route=\/wp\/v2\/posts\/11026\/revisions\/11030"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/numbers-magic.com\/index.php?rest_route=\/wp\/v2\/media\/11029"}],"wp:attachment":[{"href":"https:\/\/numbers-magic.com\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=11026"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/numbers-magic.com\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=11026"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/numbers-magic.com\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=11026"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}