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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
542913181325747908710 ~2000
542929757325757854310 ~2000
542947739108589547910 ~1999
542952803108590560710 ~1999
542953739108590747910 ~1999
542962571108592514310 ~1999
542974739108594947910 ~1999
542982299108596459910 ~1999
543016871108603374310 ~1999
543020771108604154310 ~1999
543040529434432423310 ~2001
543040583108608116710 ~1999
543086279108617255910 ~1999
543098483108619696710 ~1999
543137821325882692710 ~2000
543151799108630359910 ~1999
543156023108631204710 ~1999
543161159108632231910 ~1999
543163919108632783910 ~1999
543173933760443506310 ~2001
543182543108636508710 ~1999
543184601434547680910 ~2001
543192623108638524710 ~1999
543196943108639388710 ~1999
543199271108639854310 ~1999
Exponent Prime Factor Digits Year
543211037434568829710 ~2001
543211859108642371910 ~1999
543214739108642947910 ~1999
543217397760504355910 ~2001
5432234891195091675911 ~2002
543223799108644759910 ~1999
543227891434582312910 ~2001
543229499108645899910 ~1999
543241091108648218310 ~1999
543255659108651131910 ~1999
543266303108653260710 ~1999
543272423108654484710 ~1999
543289633325973779910 ~2000
543294071108658814310 ~1999
543295271108659054310 ~1999
543298439108659687910 ~1999
543304379108660875910 ~1999
543320957325992574310 ~2000
5433706491304089557711 ~2002
543377963108675592710 ~1999
543397583108679516710 ~1999
543398477760757867910 ~2001
543420593326052355910 ~2000
543422681326053608710 ~2000
543425639108685127910 ~1999
Exponent Prime Factor Digits Year
543429311108685862310 ~1999
543439243869502788910 ~2001
543443843108688768710 ~1999
543446159108689231910 ~1999
543460331108692066310 ~1999
543463559108692711910 ~1999
543468193326080915910 ~2000
543476851543476851110 ~2001
543483379543483379110 ~2001
543494351108698870310 ~1999
543511151108702230310 ~1999
543526507978347712710 ~2002
543544223108708844710 ~1999
543546791108709358310 ~1999
543547643108709528710 ~1999
543576431108715286310 ~1999
543576967543576967110 ~2001
543586501326151900710 ~2000
543614399108722879910 ~1999
543645577326187346310 ~2000
543649763108729952710 ~1999
543660217326196130310 ~2000
543678257434942605710 ~2001
5437239671848661487911 ~2002
5437399498156099235111 ~2004
Exponent Prime Factor Digits Year
543744959108748991910 ~1999
543751079108750215910 ~1999
543759539108751907910 ~1999
543807359108761471910 ~1999
543818579435054863310 ~2001
543827891108765578310 ~1999
543841631108768326310 ~1999
543850883108770176710 ~1999
543859763108771952710 ~1999
543875711435100568910 ~2001
543882719108776543910 ~1999
543896251979013251910 ~2002
543901643108780328710 ~1999
543903907543903907110 ~2001
543919763108783952710 ~1999
543924757326354854310 ~2000
543934021870294433710 ~2001
543937211108787442310 ~1999
543950531108790106310 ~1999
543950783108790156710 ~1999
543958091108791618310 ~1999
543961927543961927110 ~2001
543969071108793814310 ~1999
543978389761569744710 ~2001
543994211435195368910 ~2001
3302
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25-07-08