{"id":8211,"date":"2019-10-15T15:14:07","date_gmt":"2019-10-15T14:14:07","guid":{"rendered":"http:\/\/synthese.univ-annaba.dz\/?p=8211"},"modified":"2021-07-29T10:50:37","modified_gmt":"2021-07-29T09:50:37","slug":"non-linear-robust-control-optimization-to-improving-the-aerodynamics-in-gas-turbine-2","status":"publish","type":"post","link":"https:\/\/synthese.univ-annaba.dz\/?p=8211","title":{"rendered":"Prime Number Function"},"content":{"rendered":"<div><strong>Num\u00e9ro de la revue<\/strong>: Volume 26 , Num\u00e9ro 2<\/div>\n<p><strong>Auteurs<\/strong>:\u00a0<strong>Mouhamadou Ly<\/strong><\/p>\n<p>Department of Mathematics, Virtual University of Senegal &#8211; Dakar, Senegal<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<div>\n<p style=\"text-align: right;\"><a href=\"http:\/\/synthese.univ-annaba.dz\/wp-content\/uploads\/2019\/10\/1-20.19.pdf\"><strong>T\u00e9l\u00e9charger l&rsquo;article<img loading=\"lazy\" decoding=\"async\" class=\" wp-image-709 alignright\" style=\"margin-top: -10px; margin-bottom: -10px;\" src=\"\/wp-content\/uploads\/2014\/04\/p2.jpg\" alt=\"p2\" width=\"37\" height=\"35\" srcset=\"https:\/\/synthese.univ-annaba.dz\/wp-content\/uploads\/2014\/04\/p2.jpg 113w, https:\/\/synthese.univ-annaba.dz\/wp-content\/uploads\/2014\/04\/p2-24x24.jpg 24w, https:\/\/synthese.univ-annaba.dz\/wp-content\/uploads\/2014\/04\/p2-48x46.jpg 48w\" sizes=\"auto, (max-width: 37px) 100vw, 37px\" \/><\/strong><\/a><\/p>\n<\/div>\n<p style=\"text-align: justify;\"><strong>ABSTRACT <\/strong><\/p>\n<p style=\"text-align: justify;\">The objective of this research is to study prime numbers in relation to their distributions and some of the conjectures to which they are subject. To achieve our goal, we have developed a function having a defined starting set and as an ending set, the set of prime numbers. From the formulas of the domain of definition, we were able to prove the Goldbach conjecture and generalization. Another more detailed explanation of the distribution of prime numbers allowed us to prove the infinity of twin primes. In conclusion, this research exposes a detailed explanation of prime numbers as well as a little glimpse into their distribution and from that, a proof of many of these conjectures such as the Goldbach conjecture, the twin prime conjecture and others.<\/p>\n<p><strong><em>Keywords<\/em><\/strong><\/p>\n<p>Prime Number, Goldbach\u2019s Conjecture, Variance Theorem,\u00a0 First Twin Number Conjection<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Num\u00e9ro de la revue: Volume 26 , Num\u00e9ro 2 Auteurs:\u00a0Mouhamadou Ly Department of Mathematics, Virtual University of Senegal &#8211; Dakar, Senegal &nbsp; &nbsp; T\u00e9l\u00e9charger l&rsquo;article ABSTRACT The objective of this research is to study prime numbers in relation to their &hellip; <a href=\"https:\/\/synthese.univ-annaba.dz\/?p=8211\">Lire la suite <span class=\"meta-nav\">&raquo;<\/span><\/a><\/p>\n","protected":false},"author":5,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1353,1410],"tags":[1370,1367,1369,1368],"class_list":["post-8211","post","type-post","status-publish","format-standard","hentry","category-synthese-vol-25-numero-1","category-synthese-vol-26-numero-2","tag-constrained-genetic-algorithm-ga","tag-gas-turbine","tag-robust-control","tag-surge-rotating-stall"],"_links":{"self":[{"href":"https:\/\/synthese.univ-annaba.dz\/index.php?rest_route=\/wp\/v2\/posts\/8211","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/synthese.univ-annaba.dz\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/synthese.univ-annaba.dz\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/synthese.univ-annaba.dz\/index.php?rest_route=\/wp\/v2\/users\/5"}],"replies":[{"embeddable":true,"href":"https:\/\/synthese.univ-annaba.dz\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=8211"}],"version-history":[{"count":3,"href":"https:\/\/synthese.univ-annaba.dz\/index.php?rest_route=\/wp\/v2\/posts\/8211\/revisions"}],"predecessor-version":[{"id":8391,"href":"https:\/\/synthese.univ-annaba.dz\/index.php?rest_route=\/wp\/v2\/posts\/8211\/revisions\/8391"}],"wp:attachment":[{"href":"https:\/\/synthese.univ-annaba.dz\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=8211"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/synthese.univ-annaba.dz\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=8211"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/synthese.univ-annaba.dz\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=8211"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}