{"id":358,"date":"2020-03-23T02:19:54","date_gmt":"2020-03-23T02:19:54","guid":{"rendered":"http:\/\/blog.newtonchineseschool.org\/lilijia\/?p=358"},"modified":"2020-03-23T02:24:13","modified_gmt":"2020-03-23T02:24:13","slug":"aops_number-theory_ch-6-special-numbers","status":"publish","type":"post","link":"https:\/\/blog.newtonchineseschool.org\/lilijia\/2020\/03\/23\/aops_number-theory_ch-6-special-numbers\/","title":{"rendered":"AoPS_Number Theory_Ch.6 Special Numbers"},"content":{"rendered":"\n<p><strong>Lesson Review<\/strong><\/p>\n\n\n\n<ul><li>A Mersenne prime: 2^p-1 (p: prime number)<\/li><li>A Fermat prime: 2^2n +1 (n: nonnegative\ninteger)<\/li><li>Twin primes: a pair of primes that differ by\n2<\/li><li>n factorial: n!=n(n-1)(n-2)&#8230;2*1<\/li><li>a palindrome: an integer that reads the same\nforward as it does backward.<\/li><\/ul>\n\n\n\n<div class=\"wp-block-image\"><figure class=\"aligncenter is-resized\"><img loading=\"lazy\" src=\"http:\/\/blog.newtonchineseschool.org\/lilijia\/files\/2020\/03\/7.gif\" alt=\"\" class=\"wp-image-367\" width=\"351\" height=\"415\" \/><\/figure><\/div>\n\n\n\n<div class=\"wp-block-image\"><figure class=\"aligncenter is-resized\"><img loading=\"lazy\" src=\"http:\/\/blog.newtonchineseschool.org\/lilijia\/files\/2020\/03\/IMG-0063-768x1024.jpg\" alt=\"\" class=\"wp-image-359\" width=\"355\" height=\"473\" srcset=\"https:\/\/blog.newtonchineseschool.org\/lilijia\/files\/2020\/03\/IMG-0063-768x1024.jpg 768w, https:\/\/blog.newtonchineseschool.org\/lilijia\/files\/2020\/03\/IMG-0063-225x300.jpg 225w, https:\/\/blog.newtonchineseschool.org\/lilijia\/files\/2020\/03\/IMG-0063.jpg 1536w\" sizes=\"(max-width: 355px) 100vw, 355px\" \/><\/figure><\/div>\n\n\n\n<div class=\"wp-block-image\"><figure class=\"aligncenter is-resized\"><img loading=\"lazy\" src=\"http:\/\/blog.newtonchineseschool.org\/lilijia\/files\/2020\/03\/IMG-0065-768x1024.jpg\" alt=\"\" class=\"wp-image-360\" width=\"352\" height=\"469\" srcset=\"https:\/\/blog.newtonchineseschool.org\/lilijia\/files\/2020\/03\/IMG-0065-768x1024.jpg 768w, https:\/\/blog.newtonchineseschool.org\/lilijia\/files\/2020\/03\/IMG-0065-225x300.jpg 225w, https:\/\/blog.newtonchineseschool.org\/lilijia\/files\/2020\/03\/IMG-0065.jpg 1536w\" sizes=\"(max-width: 352px) 100vw, 352px\" \/><\/figure><\/div>\n\n\n\n<div class=\"wp-block-image\"><figure class=\"aligncenter is-resized\"><img loading=\"lazy\" src=\"http:\/\/blog.newtonchineseschool.org\/lilijia\/files\/2020\/03\/IMG-0066-768x1024.jpg\" alt=\"\" class=\"wp-image-361\" width=\"354\" height=\"472\" srcset=\"https:\/\/blog.newtonchineseschool.org\/lilijia\/files\/2020\/03\/IMG-0066-768x1024.jpg 768w, https:\/\/blog.newtonchineseschool.org\/lilijia\/files\/2020\/03\/IMG-0066-225x300.jpg 225w, https:\/\/blog.newtonchineseschool.org\/lilijia\/files\/2020\/03\/IMG-0066.jpg 1536w\" sizes=\"(max-width: 354px) 100vw, 354px\" \/><\/figure><\/div>\n\n\n\n<div class=\"wp-block-image\"><figure class=\"aligncenter is-resized\"><img loading=\"lazy\" src=\"http:\/\/blog.newtonchineseschool.org\/lilijia\/files\/2020\/03\/IMG-0068-768x1024.jpg\" alt=\"\" class=\"wp-image-362\" width=\"351\" height=\"468\" srcset=\"https:\/\/blog.newtonchineseschool.org\/lilijia\/files\/2020\/03\/IMG-0068-768x1024.jpg 768w, https:\/\/blog.newtonchineseschool.org\/lilijia\/files\/2020\/03\/IMG-0068-225x300.jpg 225w, https:\/\/blog.newtonchineseschool.org\/lilijia\/files\/2020\/03\/IMG-0068.jpg 1536w\" sizes=\"(max-width: 351px) 100vw, 351px\" \/><\/figure><\/div>\n\n\n\n<div class=\"wp-block-image\"><figure class=\"aligncenter is-resized\"><img loading=\"lazy\" src=\"http:\/\/blog.newtonchineseschool.org\/lilijia\/files\/2020\/03\/IMG-0069-768x1024.jpg\" alt=\"\" class=\"wp-image-364\" width=\"354\" height=\"471\" srcset=\"https:\/\/blog.newtonchineseschool.org\/lilijia\/files\/2020\/03\/IMG-0069-768x1024.jpg 768w, https:\/\/blog.newtonchineseschool.org\/lilijia\/files\/2020\/03\/IMG-0069-225x300.jpg 225w, https:\/\/blog.newtonchineseschool.org\/lilijia\/files\/2020\/03\/IMG-0069.jpg 1536w\" sizes=\"(max-width: 354px) 100vw, 354px\" \/><\/figure><\/div>\n\n\n\n<div class=\"wp-block-image\"><figure class=\"aligncenter is-resized\"><img loading=\"lazy\" src=\"http:\/\/blog.newtonchineseschool.org\/lilijia\/files\/2020\/03\/IMG-0071-768x1024.jpg\" alt=\"\" class=\"wp-image-363\" width=\"353\" height=\"471\" srcset=\"https:\/\/blog.newtonchineseschool.org\/lilijia\/files\/2020\/03\/IMG-0071-768x1024.jpg 768w, https:\/\/blog.newtonchineseschool.org\/lilijia\/files\/2020\/03\/IMG-0071-225x300.jpg 225w, https:\/\/blog.newtonchineseschool.org\/lilijia\/files\/2020\/03\/IMG-0071.jpg 1536w\" sizes=\"(max-width: 353px) 100vw, 353px\" \/><\/figure><\/div>\n\n\n\n<p><strong>Homework<\/strong><\/p>\n\n\n\n<ul><li>p.109 Ex. 6.2.1, 6.2.2<\/li><li>p.113 Ex. 6.3.2 to 6.3.5, 6.3.7<\/li><li>p.115 Ex. 6.4.4&nbsp; (6.4.1 classwork)<\/li><li>p.118 Ex. 6.5.1 to 6.5.3<\/li><li>p.120 Ex. 6.26*<\/li><\/ul>\n\n\n\n<p><strong>Other Resources<\/strong><\/p>\n\n\n\n<ul><li><a href=\"https:\/\/mathworld.wolfram.com\/TwinPrimes.html\">https:\/\/mathworld.wolfram.com\/TwinPrimes.html<\/a><\/li><li><a href=\"https:\/\/byjus.com\/maths\/perfect-numbers\/\">https:\/\/byjus.com\/maths\/perfect-numbers\/<\/a><\/li><li><a href=\"https:\/\/www.mathsisfun.com\/definitions\/palindromic-numbers.html\">https:\/\/www.mathsisfun.com\/definitions\/palindromic-numbers.html<\/a><\/li><li><a href=\"https:\/\/nrich.maths.org\/2574\">https:\/\/nrich.maths.org\/2574<\/a><\/li><\/ul>\n\n\n\n<p><strong>Something Else<\/strong><\/p>\n\n\n\n<p>Please join\nour Google Classroom (Code: mtl4kzb). Students should turn in the weekly\nhomework by each Saturday night at 10:00 pm. <\/p>\n\n\n\n<p>Take care\nand look forward to seeing you all next Sunday. We will learn Ch.7 Algebra with\nIntegers.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Lesson Review A Mersenne prime: 2^p-1 (p: prime number) A Fermat prime: 2^2n +1 (n: nonnegative integer) Twin primes: a pair of primes that differ by 2 n factorial: n!=n(n-1)(n-2)&#8230;2*1 a palindrome: an integer that reads the same forward as it does backward. Homework p.109 Ex. 6.2.1, 6.2.2 p.113 Ex. 6.3.2 to 6.3.5, 6.3.7 p.115 [&hellip;]<\/p>\n","protected":false},"author":157,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"ngg_post_thumbnail":0},"categories":[4],"tags":[],"_links":{"self":[{"href":"https:\/\/blog.newtonchineseschool.org\/lilijia\/wp-json\/wp\/v2\/posts\/358"}],"collection":[{"href":"https:\/\/blog.newtonchineseschool.org\/lilijia\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/blog.newtonchineseschool.org\/lilijia\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/blog.newtonchineseschool.org\/lilijia\/wp-json\/wp\/v2\/users\/157"}],"replies":[{"embeddable":true,"href":"https:\/\/blog.newtonchineseschool.org\/lilijia\/wp-json\/wp\/v2\/comments?post=358"}],"version-history":[{"count":2,"href":"https:\/\/blog.newtonchineseschool.org\/lilijia\/wp-json\/wp\/v2\/posts\/358\/revisions"}],"predecessor-version":[{"id":368,"href":"https:\/\/blog.newtonchineseschool.org\/lilijia\/wp-json\/wp\/v2\/posts\/358\/revisions\/368"}],"wp:attachment":[{"href":"https:\/\/blog.newtonchineseschool.org\/lilijia\/wp-json\/wp\/v2\/media?parent=358"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/blog.newtonchineseschool.org\/lilijia\/wp-json\/wp\/v2\/categories?post=358"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/blog.newtonchineseschool.org\/lilijia\/wp-json\/wp\/v2\/tags?post=358"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}