{"id":199,"date":"2011-03-28T11:43:18","date_gmt":"2011-03-28T15:43:18","guid":{"rendered":"http:\/\/bitc.bme.emory.edu\/~lzhou\/blogs\/?p=199"},"modified":"2011-03-28T11:43:18","modified_gmt":"2011-03-28T15:43:18","slug":"general-rule-of-prp","status":"publish","type":"post","link":"https:\/\/csic.som.emory.edu\/~lzhou\/blogs\/?p=199","title":{"rendered":"General rule of PRP"},"content":{"rendered":"<p>For any positive integer k, if it can be factored to the form<br \/>\n   k=p1^m1*p2^m2*&#8230;*pn^mn<br \/>\n   suppose q is a prime number such that q is not a factor of k,<br \/>\nthen<br \/>\n   Mod[q^(p*(p1-1)*(p2-1)*&#8230;*(pn-1)\/\uff08p1*p2*&#8230;*pn\uff09), k]=1<\/p>\n<p>Special: If k is a prime, and q is a different prime number,<br \/>\n   Mod[q^(k-1), k] = 1<\/p>\n","protected":false},"excerpt":{"rendered":"<p>For any positive integer k, if it can be factored to the form k=p1^m1*p2^m2*&#8230;*pn^mn suppose q is a prime number such that q is not a factor of k, then Mod[q^(p*(p1-1)*(p2-1)*&#8230;*(pn-1)\/\uff08p1*p2*&#8230;*pn\uff09), k]=1 Special: If k is a prime, and q is a different prime number, Mod[q^(k-1), k] = 1<\/p>\n","protected":false},"author":2,"featured_media":0,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[5,6],"tags":[],"class_list":["post-199","post","type-post","status-publish","format-standard","hentry","category-to-entertain-myself","category-looking-for-a-megaprime","post-blog"],"_links":{"self":[{"href":"https:\/\/csic.som.emory.edu\/~lzhou\/blogs\/index.php?rest_route=\/wp\/v2\/posts\/199","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/csic.som.emory.edu\/~lzhou\/blogs\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/csic.som.emory.edu\/~lzhou\/blogs\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/csic.som.emory.edu\/~lzhou\/blogs\/index.php?rest_route=\/wp\/v2\/users\/2"}],"replies":[{"embeddable":true,"href":"https:\/\/csic.som.emory.edu\/~lzhou\/blogs\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=199"}],"version-history":[{"count":0,"href":"https:\/\/csic.som.emory.edu\/~lzhou\/blogs\/index.php?rest_route=\/wp\/v2\/posts\/199\/revisions"}],"wp:attachment":[{"href":"https:\/\/csic.som.emory.edu\/~lzhou\/blogs\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=199"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/csic.som.emory.edu\/~lzhou\/blogs\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=199"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/csic.som.emory.edu\/~lzhou\/blogs\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=199"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}