数学中国

 找回密码
 注册
搜索
热搜: 活动 交友 discuz
楼主: 蔡家雄

\(Carmichael\) \(numbers\) 的分解

[复制链接]
 楼主| 发表于 2026-7-19 09:21 | 显示全部楼层
求 9个素因子的卡迈克尔数,且每个素因子均为 36k+1 的形式。

主族 10 个例子,

设 S = 1297 * 2593 * 3889 * 567649 * 19867681 * 854310241 * 8543102401 * 68344819201 是前 8个素因子的乘积,

C1 = S * 205034457601.
C2 = S * 11345239987201.
C3 = S * 36947619328435201.
C4 = S * 114802483430476801.
C5 = S * 1262827317735244801.
C6 = S * 1888247272648665601.
C7 = S * 1723969759928231692801.
C8 = S * 23892258015652650921302121514981339081682918401.
C9 = S * 330509569216528337744679347623908523963280371201.
C10 = S * 1114808776967350083212803439535443451328144692057601.


回复 支持 反对

使用道具 举报

 楼主| 发表于 2026-7-19 10:09 | 显示全部楼层
求 10 个素因子的卡迈克尔数,且每个素因子均为 36k+1 的形式。

设 S = 1297 * 2593 * 3889 * 567649 * 19867681 * 854310241 * 8543102401 * 68344819201 是前 8个素因子的乘积,

如下是 39 个例子的前 34 个例子,

C1 = S * 205034457601 * 5809241287180801.

C2 = S * 11345239987201 * 181523839795201.
C3 = S * 11345239987201 * 49216286397912883201.
C4 = S * 11345239987201 * 27249002007424394803201.
C5 = S * 11345239987201 * 2975075296467435876556801.
C6 = S * 11345239987201 * 5950150592934871753113601.
C7 = S * 11345239987201 * 6279030803985991084440323481601.
C8 = S * 11345239987201 * 12558061607971982168880646963201.
C9 = S * 11345239987201 * 5301476058244096965499019509937155799222476801.
C10 = S * 11345239987201 * 359345312864408661027575227799999036527372825267201.
C11 = S * 11345239987201 * 795817959318121983677432065723061364566112453910348801.
C12 = S * 11345239987201 * 3452302873327734980023786237302320690924211527360512073932801.

C13 = S * 36947619328435201 * 2525548586368162051846195201.
C14 = S * 36947619328435201 * 17810155541038401357488179201.
C15 = S * 36947619328435201 * 480230510944954759394744908801.
C16 = S * 36947619328435201 * 718047558010384441527573218995201.
C17 = S * 36947619328435201 * 829044930279796544789717253580801.
C18 = S * 36947619328435201 * 1092288138988387159881422453024870401.
C19 = S * 36947619328435201 * 3544866596315143670612033350015113864038401.
C20 = S * 36947619328435201 * 28334616543107429035525369902228653758310401.
C21 = S * 36947619328435201 * 692252379258740168432562869724143277003878401.
C22 = S * 36947619328435201 * 4958976501742598197648639622460618573633992585395201.

C23 = S * 1262827317735244801 * 5051309270940979201.
C24 = S * 1262827317735244801 * 19999613437271722359705601.
C25 = S * 1262827317735244801 * 568013821273948063300070401.
C26 = S * 1262827317735244801 * 1704041463821844189900211201.
C27 = S * 1262827317735244801 * 7384179676561324822900915201.
C28 = S * 1262827317735244801 * 3972555779637591207696775527854882976558505284084715066598401.

C29 = S * 114802483430476801 * 77376873832141363201.
C30 = S * 114802483430476801 * 12783489888302845909608499201.
C31 = S * 114802483430476801 * 280262174751081153623244709986328655613270813423363058022401.
C32 = S * 114802483430476801 * 531001182725713105603684710166975805961642179141891135155201.

C33 = S * 1888247272648665601 * 251136887262272524801.
C34 = S * 1888247272648665601 * 102440051774961184467350899201.


回复 支持 反对

使用道具 举报

您需要登录后才可以回帖 登录 | 注册

本版积分规则

Archiver|手机版|小黑屋|数学中国 ( 京ICP备05040119号 )

GMT+8, 2026-7-26 09:43 , Processed in 0.111479 second(s), 14 queries .

Powered by Discuz! X3.4

Copyright © 2001-2020, Tencent Cloud.

快速回复 返回顶部 返回列表