{"id":1673,"date":"2016-01-01T02:34:09","date_gmt":"2016-01-01T07:34:09","guid":{"rendered":"https:\/\/people.clas.ufl.edu\/fgarvan\/?page_id=1673"},"modified":"2026-03-19T08:11:16","modified_gmt":"2026-03-19T12:11:16","slug":"numtheory","status":"publish","type":"page","link":"https:\/\/people.clas.ufl.edu\/fgarvan\/teaching\/numtheory\/","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><!--more--><br>\nSpring 2016 Section 48430<\/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 border=\"0\" width=\"95%\" cellspacing=\"0\" cellpadding=\"20\" bgcolor=\"#cccccc\">\n<tbody>\n<tr>\n<td>Current Announcements\n<ul>\n<li>Fri Mar 18: Exam 2<br>\nThis exam covers sections 2.3, 2.4, 2.5, 2.6 and all of Chapter 3.<\/li>\n<li>Wed Feb 24: Homework 5 due<\/li>\n<li>Wed Feb 17: Homework 4 due<\/li>\n<li>Fri Feb 5: Exam 1<\/li>\n<li>Wed Feb 3: Homework 3 due<\/li>\n<li>Wed Jan 27: Homework 2 due<\/li>\n<li>Tue Jan 26: Solution to Homework 1 posted<\/li>\n<li>Wed Jan 20: Homework 1 due<\/li>\n<li>Wed Jan 6: First day of class.<\/li>\n<\/ul>\n<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<hr>\n<hr>\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\/numtheory\/syllabus\/\" target=\"_blank\" rel=\"noopener\">SYLLABUS<\/a><\/li>\n<li><a title=\"MAS 4203 homework\" href=\"https:\/\/people.clas.ufl.edu\/fgarvan\/teaching\/numtheory\/homework\/\" target=\"_blank\" rel=\"noopener\">HOMEWORK<\/a><\/li>\n<li><a href=\"https:\/\/people.clas.ufl.edu\/fgarvan\/teaching\/numtheory\/nt-notes\">NOTES<\/a><\/li>\n<li><a href=\"http:\/\/qseries.org\/fgarvan\/numthy\/algorithms.html\">ALGS<\/a><\/li>\n<li><a title=\"MAS 4203 homework\" href=\"https:\/\/people.clas.ufl.edu\/fgarvan\/teaching\/numtheory\/old-exams\/\" target=\"_blank\" rel=\"noopener\">OLD EXAMS<\/a><\/li>\n<li><a title=\"MAS 4203 homework\" href=\"https:\/\/people.clas.ufl.edu\/fgarvan\/teaching\/numtheory\/sughw\/\" target=\"_blank\" rel=\"noopener\">SUGGESTED HOMEWORK<\/a><\/li>\n<\/ul>\n<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n\n\n\n<p>LINKS:<\/p>\n\n\n\n<ul class=\"wp-block-list\"><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><\/li>\n<li><a href=\"http:\/\/primes.utm.edu\/\">The Prime Pages<\/a><\/li>\n<li><a href=\"https:\/\/people.clas.ufl.edu\/fgarvan\/content-removed\/\">TABLE OF PRIMES<\/a><\/li>\n<li><a href=\"http:\/\/en.wikipedia.org\/wiki\/RSA_%28cryptosystem%29\">RSA<\/a><\/li>\n<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><\/li>\n<li><a href=\"http:\/\/en.wikipedia.org\/wiki\/Miller%E2%80%93Rabin_primality_test\">The Miller-Rabin Primality Test<\/a><\/li>\n<li><a href=\"https:\/\/people.clas.ufl.edu\/fgarvan\/content-removed\/\">MILLER-RABIN EXAMPLE<\/a> (using SAGE)<\/li>\n<li><a href=\"http:\/\/en.wikipedia.org\/wiki\/AKS_primality_test\">The AKS Primality Test<\/a><\/li>\n<li><a href=\"https:\/\/people.clas.ufl.edu\/fgarvan\/content-removed\/\">AMS ARTICLE ON AKS<\/a><\/li><\/ul>\n\n\n\n<p>READ MORE ABOUT YITANG ZHANG<\/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><\/li>\n<li><a href=\"https:\/\/www.quantamagazine.org\/20150402-prime-proof-zhang-interview\/\">QUANTA<\/a><\/li>\n<li><a href=\"https:\/\/www.ias.edu\/ias-letter\/zhang-breakthrough\">IAS<\/a><\/li>\n<li><a href=\"https:\/\/www.youtube.com\/watch?v=88Q2v6FTSBI\">MSRI<\/a><\/li><\/ul>\n\n\n\n<p>PERSONALITIES:<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 border=\"0\" width=\"95%\" cellspacing=\"0\" cellpadding=\"20\" bgcolor=\"#cccccc\">\n<tbody>\n<tr>\n<td>\n<ul>\n<li>No news<\/li>\n<\/ul>\n<p>Last update made Fri Jan 1 6:31pm 2016<\/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-1673","page","type-page","status-publish","hentry"],"acf":[],"_links":{"self":[{"href":"https:\/\/people.clas.ufl.edu\/fgarvan\/wp-json\/wp\/v2\/pages\/1673","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=1673"}],"version-history":[{"count":10,"href":"https:\/\/people.clas.ufl.edu\/fgarvan\/wp-json\/wp\/v2\/pages\/1673\/revisions"}],"predecessor-version":[{"id":3574,"href":"https:\/\/people.clas.ufl.edu\/fgarvan\/wp-json\/wp\/v2\/pages\/1673\/revisions\/3574"}],"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=1673"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}