{"id":555,"date":"2014-06-27T10:26:38","date_gmt":"2014-06-27T14:26:38","guid":{"rendered":"https:\/\/people.clas.ufl.edu\/fgarvan\/?page_id=555"},"modified":"2026-03-19T08:11:17","modified_gmt":"2026-03-19T12:11:17","slug":"mas4203","status":"publish","type":"page","link":"https:\/\/people.clas.ufl.edu\/fgarvan\/teaching\/mas4203\/","title":{"rendered":"MAS 4203 Intro Number Theory"},"content":{"rendered":"\r\n<section class=\"fullwidth-text-block\">\r\n\t<div class=\"container px-0 pt-5\">\r\n\t\t<div class=\"row align-items-start\">\r\n\t\t\t<div class=\"col-12\">\r\n\t\t\t\t\n<h1 class=\"wp-block-heading\">MAS 4203 Intro Number Theory<\/h1>\n\n\n\n<p>Summer 2015 Section 4801<\/p>\n\n\n\n<table border=\"0\" cellspacing=\"0\" cellpadding=\"2\">\n<tbody>\n<tr>\n<td valign=\"top\" bgcolor=\"#99ccff\"><\/td>\n<td rowspan=\"2\" align=\"left\" valign=\"top\" width=\"600\">\n<table width=\"95%\" border=\"0\" cellspacing=\"0\" cellpadding=\"20\" bgcolor=\"#cccccc\">\n<tbody>\n<tr>\n<td>Current Announcements\n<ul>\n<li>Thu Jul 14: Exam 1\n<\/li><li>Tue Jul 14: Quiz 2\n<\/li><li>Mon Jun 29: First day of class.\n<\/li><\/ul>\n<\/td><\/tr><\/tbody>\n<\/table>\n<\/td>\n<td align=\"left\" valign=\"top\">\n<ul>\n<li><a title=\"MAS 4203 syllabus\" href=\"https:\/\/people.clas.ufl.edu\/fgarvan\/teaching\/mas4203\/syllabus\/\" target=\"_blank\">SYLLABUS<\/a><\/li>\n<li><a title=\"MAS 4203 homework\" href=\"https:\/\/people.clas.ufl.edu\/fgarvan\/teaching\/mas4203\/homework\/\" target=\"_blank\">HOMEWORK<\/a><\/li>\n<li><a href=\"https:\/\/people.clas.ufl.edu\/fgarvan\/teaching\/mas4203\/nt-notes\">NOTES<\/a><\/li>\n<li><a href=\"https:\/\/people.clas.ufl.edu\/fgarvan\/teaching\/mas4203\/quizzes\">QUIZZES<\/a><\/li>\n<li><a href=\"http:\/\/qseries.org\/fgarvan\/numthy\/algorithms.html\">ALGS<\/a>\n<\/li><li><a href=\"https:\/\/people.clas.ufl.edu\/fgarvan\/teaching\/mas4203\/exams\/\">EXAMS<\/a>\n<\/li><li><a href=\"https:\/\/people.clas.ufl.edu\/fgarvan\/teaching\/mas4203\/hwsol\/\">HW.SOL<\/a>\n<\/li><\/ul>\n<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n\n\n\n<p>LINKS:<br>\n<\/p>\n\n\n\n<ul class=\"wp-block-list\"><br>\n<li><a href=\"https:\/\/moam.info\/ten-tips-for-writing-mathematical-proofs-katharine-ott-1-determine-_599ef8a61723dd0e40b19f4b.html\">Ten Tips for Writning Mathematical Proofs by Katherine Ott<\/a><br>\n<\/li><li><a href=\"http:\/\/primes.utm.edu\/\">The Prime Pages<\/a><br>\n<\/li><li><a href=\"https:\/\/people.clas.ufl.edu\/fgarvan\/content-removed\/\">TABLE OF PRIMES<\/a><br>\n<\/li><li><a href=\"http:\/\/en.wikipedia.org\/wiki\/RSA_%28cryptosystem%29\">RSA<\/a><br>\n<\/li><li><a href=\"https:\/\/people.clas.ufl.edu\/fgarvan\/content-removed\/\">RSA EXAMPLE<\/a> (using SAGE)<br>\nAlso see <a href=\"https:\/\/people.clas.ufl.edu\/fgarvan\/files\/rsa-sagews-screenshot.jpg\">Screenshot of SAGE Session<\/a> and<br>\n<a href=\"https:\/\/people.clas.ufl.edu\/fgarvan\/sage\">Instructions on using SAGE<\/a><br>\n<\/li><li><a href=\"http:\/\/en.wikipedia.org\/wiki\/Miller%E2%80%93Rabin_primality_test\">The Miller-Rabin Primality Test<\/a><br>\n<\/li><li><a href=\"https:\/\/people.clas.ufl.edu\/fgarvan\/content-removed\/\">MILLER-RABIN EXAMPLE<\/a> (using SAGE)<br>\n<\/li><li><a href=\"http:\/\/en.wikipedia.org\/wiki\/AKS_primality_test\">The AKS Primality Test<\/a><br>\n<\/li><li><a href=\"https:\/\/people.clas.ufl.edu\/fgarvan\/content-removed\/\">AMS ARTICLE ON AKS<\/a><br>\n<\/li><\/ul>\n\n\n\n<p>\nREAD MORE ABOUT YITANG ZHANG<br>\n<\/p>\n\n\n\n<ul class=\"wp-block-list\"><li><a href=\"http:\/\/www.newyorker.com\/magazine\/2015\/02\/02\/pursuit-beauty\">The New Yorker<\/a>\n<\/li><li><a href=\"https:\/\/www.quantamagazine.org\/20150402-prime-proof-zhang-interview\/\">QUANTA<\/a>\n<\/li><li><a href=\"https:\/\/www.ias.edu\/ias-letter\/zhang-breakthrough\">IAS<\/a>\n<\/li><li><a href=\"https:\/\/www.youtube.com\/watch?v=88Q2v6FTSBI\">MSRI<\/a><br>\n<\/li><\/ul>\n\n\n\n<p>\nPERSONALITIES:<br>\n<a href=\"http:\/\/www-groups.dcs.st-and.ac.uk.\/~history\/Biographies\/Al-Haytham.html\">AL-HAYTHAM<\/a> &#8211; <a href=\"http:\/\/www-groups.dcs.st-and.ac.uk.\/~history\/Biographies\/Dirichlet.html\">DIRICHLET<\/a> &#8211; <a href=\"http:\/\/www-groups.dcs.st-and.ac.uk.\/~history\/Biographies\/Euclid.html\">EUCLID<\/a> &#8211; <a href=\"http:\/\/www-groups.dcs.st-and.ac.uk.\/~history\/Biographies\/Fermat.html\">FERMAT<\/a> &#8211; <a href=\"http:\/\/www-groups.dcs.st-and.ac.uk.\/~history\/Biographies\/Gauss.html\">GAUSS<\/a> &#8211; <a href=\"http:\/\/www-groups.dcs.st-and.ac.uk.\/~history\/Biographies\/Legendre.html\">LEGENDRE<\/a> &#8211; <a href=\"http:\/\/www-groups.dcs.st-and.ac.uk.\/~history\/Biographies\/Mersenne.html\">MERSENNE<\/a><br>\n<a href=\"http:\/\/www-groups.dcs.st-and.ac.uk.\/~history\/Biographies\/Euler.html\">EULER<\/a><br>\n<a href=\"https:\/\/people.clas.ufl.edu\/fgarvan\/files\/rsa-photo.jpeg\">RIVET-SHAMIR-ADLEMAN<\/a><br>\n<a href=\"https:\/\/people.clas.ufl.edu\/fgarvan\/agrawal-kayal-saxena\/\">AGRAWAL-KAYAL-SAXENA<\/a><br>\n<a href=\"https:\/\/people.clas.ufl.edu\/fgarvan\/selfridge-pomerance-wagstaff\">SELFRIDGE-POMERANCE-WAGSTAFF<\/a><\/p>\n\n\n\n<p>Old News<\/p>\n\n\n\n<table width=\"95%\" border=\"0\" cellspacing=\"0\" cellpadding=\"20\" bgcolor=\"#cccccc\">\n<tbody>\n<tr>\n<td>\n<ul>\n<li> No news\n<\/li><\/ul>\n<p>Last update made Fri Jun 27 10:24:59 EDT 2014\n<\/p><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n\n\n\r\n\t\t\t<\/div>\r\n\t\t<\/div>\r\n\t<\/div>\r\n<\/section>\r\n","protected":false},"excerpt":{"rendered":"","protected":false},"author":140,"featured_media":0,"parent":151,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"_acf_changed":false,"featured_post":"","footnotes":"","_links_to":"","_links_to_target":""},"class_list":["post-555","page","type-page","status-publish","hentry"],"acf":[],"_links":{"self":[{"href":"https:\/\/people.clas.ufl.edu\/fgarvan\/wp-json\/wp\/v2\/pages\/555","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/people.clas.ufl.edu\/fgarvan\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/people.clas.ufl.edu\/fgarvan\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/people.clas.ufl.edu\/fgarvan\/wp-json\/wp\/v2\/users\/140"}],"replies":[{"embeddable":true,"href":"https:\/\/people.clas.ufl.edu\/fgarvan\/wp-json\/wp\/v2\/comments?post=555"}],"version-history":[{"count":11,"href":"https:\/\/people.clas.ufl.edu\/fgarvan\/wp-json\/wp\/v2\/pages\/555\/revisions"}],"predecessor-version":[{"id":3597,"href":"https:\/\/people.clas.ufl.edu\/fgarvan\/wp-json\/wp\/v2\/pages\/555\/revisions\/3597"}],"up":[{"embeddable":true,"href":"https:\/\/people.clas.ufl.edu\/fgarvan\/wp-json\/wp\/v2\/pages\/151"}],"wp:attachment":[{"href":"https:\/\/people.clas.ufl.edu\/fgarvan\/wp-json\/wp\/v2\/media?parent=555"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}