资源描述：
《奇数序列中300,000以内素数的无规律分布》由会员上传分享，免费在线阅读，更多相关内容在行业资料-天天文库。
1、http://www.paper.edu.cnTheirregulardistributionofprimesupto300,000inthesequenceofoddnumbersWan-DongXuSchoolofScience,TianjinUniversity,Tianjin300072,ChinaE-mail:xwandong@sohu.comAbstract:Inthispaperwelistedasymbolsequenceofoddnumbersupto300,000byacomputercalculatinganditcouldbefindthatthedensit
2、yofprimenumbersisdecreasedasoddnumberincreasesandthatthereexistmanytwinprimenumbersinthatsequence.Keywords:Prime,distributionofprimesMSC:11A41,11N05,11B051.IntroductionThenumberandthedistributionruleofprimenumbersinthesequenceofnaturalnumbersareimportantproblemsinresearchfieldofnumbertheory.For
3、convenience’sake,welistmanyoddnumbersupto300,000anddistinctlypartedthemintwosortsofnumbers:primenumbersandoddcompositenumbers.Acomputercomputingfinishedthiswork.Inthatlistedsequenceofoddnumbers,weletsymbol“1”denoteanoddprimenumberandletsymbol“0”denoteanoddcompositenumber.2.Thecalculatingmethodf
4、orsomenumbersinthesymbolsequenceofoddnumbersTherearesomesymbolsP,R,andCtodenoterespectivelythepageordinalnumber,therowordinalnumber,andthecolumnordinalnumberofanumberN,whichexpressthesitesforanumberinthesymbolsequenceofoddnumbers.AndwecancalculateanumberNbyafollowformula:N=(P-1)*10000+(R-1)*200
5、+(2C-1).Andanumberisanoddprimeifthisisdenotedby“1”;anumberisanoddcompositenumberifthisisdenotedby“0”.Forexample:ththnd1.Anumberdenotedby“1”isonthe56columninthe24rowinthe32page,then,thisnumbercanbecalculatedasfollow:N=(32-1)*10000+(24-1)*200+(2*56-1)=314711,anditisanoddprimenumber.ththth2.Anumbe
6、rdenotedby“0”isonthe79columninthe45rowinthe137page,then,thisnumbercanbecalculatedasfollow:N=(137-1)*10000+(45-1)*200+(2*79-1)=1368957,anditisanoddcompositenumber.Note:Therearesomenumbersblackedorunderlinedinthepaper.Theblackednumbersareinthecontinuedoddcompositenumbergroupsofthefirstlyappearedl
7、ocalmaximum,andunderlinednumbersareinthecontinuedoddcompositenumbergroupsoflocalmaximumoflowerorder.3.Theirregulardistributionofprimenumbersupto300,000inthesequenceofoddnumbers(Note:Therearedataupto3,000,000.Itcanbesentreadersifth
