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Small Mersenne Prime Factors
Prime numbers of the form Mp= 2p − 1 are called Mersenne primes. For Mp to be prime, p must also be prime.
Any factor q of a Mersenne number 2p − 1 must be of the form 2kp + 1, where integer k ≥ 0. Furthermore, q must be 1 or 7 mod 8.
Exponent Prime Factor Digits Year
4516623719033247439 ~1999
451662397270997438310 ~2000
4516859399033718799 ~1999
451706141361364912910 ~2000
451722493271033495910 ~2000
451743233271045939910 ~2000
4517439599034879199 ~1999
4517467919034935839 ~1999
4517503199035006399 ~1999
4517505835149956646311 ~2003
4517613719035227439 ~1999
4517625119035250239 ~1999
45178413111294603275112 ~2004
4517852639035705279 ~1999
4517908199035816399 ~1999
451829597361463677710 ~2000
4518320399036640799 ~1999
4518448319036896639 ~1999
4518698399037396799 ~1999
4518770399037540799 ~1999
451906957271144174310 ~2000
451912361361529888910 ~2000
451912753271147651910 ~2000
4519339919038679839 ~1999
4519422239038844479 ~1999
Exponent Prime Factor Digits Year
451967599451967599110 ~2000
4519787999039575999 ~1999
4519904039039808079 ~1999
4519913639039827279 ~1999
4520017034339216348911 ~2003
4520026799040053599 ~1999
4520230319040460639 ~1999
4520271239040542479 ~1999
4520380199040760399 ~1999
452053499361642799310 ~2000
4520671319041342639 ~1999
4520687691084965045711 ~2001
4520733971808293588111 ~2002
45207396725677801325712 ~2005
4521191039042382079 ~1999
4521325199042650399 ~1999
4521339719042679439 ~1999
4522285319044570639 ~1999
452232917271339750310 ~2000
4522357439044714879 ~1999
452262527361810021710 ~2000
4522740839045481679 ~1999
452283001271369800710 ~2000
4522861439045722879 ~1999
4522924799045849599 ~1999
Exponent Prime Factor Digits Year
4522929839045859679 ~1999
4522954799045909599 ~1999
452307617633230663910 ~2001
452311039452311039110 ~2000
452317391361853912910 ~2000
4523188915518290470311 ~2003
452320987452320987110 ~2000
4523259599046519199 ~1999
4523280599046561199 ~1999
4523532119047064239 ~1999
4523550839047101679 ~1999
4523616599047233199 ~1999
4523889432985767023911 ~2002
4524322319048644639 ~1999
452442527361954021710 ~2000
4524467391085872173711 ~2001
4524624599049249199 ~1999
4524685439049370879 ~1999
4524738839049477679 ~1999
4524962639049925279 ~1999
4524973799049947599 ~1999
4525021919050043839 ~1999
4525141319050282639 ~1999
4525241519050483039 ~1999
4525247039050494079 ~1999
Exponent Prime Factor Digits Year
4525248119050496239 ~1999
4525371191810148476111 ~2002
4525418639050837279 ~1999
4525514999051029999 ~1999
4525697399051394799 ~1999
4525856639051713279 ~1999
452589373724142996910 ~2001
4526141399052282799 ~1999
4526157599052315199 ~1999
4526304719052609439 ~1999
4526343239052686479 ~1999
4526362919052725839 ~1999
4526377919052755839 ~1999
4526502839053005679 ~1999
452651237362120989710 ~2000
4526661839053323679 ~1999
4526769239053538479 ~1999
452691341271614804710 ~2000
4526949239053898479 ~1999
4526988719053977439 ~1999
4527048599054097199 ~1999
4527095039054190079 ~1999
4527136199054272399 ~1999
4527299399054598799 ~1999
452754853271652911910 ~2000
3127
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25-04-13