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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.
Exp. Prime Factor Digits Year
9895943197918878 ~1986
9896039197920798 ~1986
9896123197922478 ~1986
9896189791695138 ~1987
9896459197929198 ~1986
98968931583502899 ~1988
9897001593820078 ~1987
9897037593822238 ~1987
9897059197941198 ~1986
9897203197944078 ~1986
9897221593833278 ~1987
9897361593841678 ~1987
9897539197950798 ~1986
98975412177459039 ~1988
9897581791806498 ~1987
9897599197951998 ~1986
9897919989791918 ~1987
98981513167408339 ~1989
9898157593889438 ~1987
9898237593894238 ~1987
9898319197966398 ~1986
9898859791908738 ~1987
9898979197979598 ~1986
9899663197993278 ~1986
9899891197997838 ~1986
Exponent Prime Factor Digits Year
9900119198002398 ~1986
99001391782025039 ~1988
9900467192069059910 ~1990
99009311584148979 ~1988
9901037594062238 ~1987
9901061594063678 ~1987
9901211198024238 ~1986
99012531386175439 ~1988
9901379198027598 ~1986
9901393594083598 ~1987
9901601594096078 ~1987
9901823198036478 ~1986
9901883198037678 ~1986
9902411198048238 ~1986
9902699198053998 ~1986
9902881594172878 ~1987
9903059198061198 ~1986
9903191198063838 ~1986
9903247990324718 ~1987
9903251198065038 ~1986
9903671198073438 ~1986
99039311782707599 ~1988
9903977594238638 ~1987
99040191782723439 ~1988
9904343198086878 ~1986
Exponent Prime Factor Digits Year
99043812178963839 ~1988
99043812971314319
9904403198088078 ~1986
9904679198093598 ~1986
9904729380341593710 ~1991
99048011584768179 ~1988
9905123198102478 ~1986
9905173594310398 ~1987
9905183198103678 ~1986
9905411198108238 ~1986
9905459198109198 ~1986
99055634160336479 ~1989
99061574556832239 ~1989
9906779198135598 ~1986
9906983198139678 ~1986
9907013594420798 ~1987
99070211585123379 ~1988
9907771990777118 ~1987
9908303198166078 ~1986
9908621594517278 ~1987
9908713594522798 ~1987
9908897792711778 ~1987
9909071198181438 ~1986
9909509792760738 ~1987
9910073594604398 ~1987
Exponent Prime Factor Digits Year
9910193594611598 ~1987
9910223198204478 ~1986
9910319198206398 ~1986
9910577594634638 ~1987
9910757594645438 ~1987
9910811198216238 ~1986
9911257594675438 ~1987
9911339198226798 ~1986
9911633594697998 ~1987
9911701594702078 ~1987
99117535550581699 ~1989
9911773594706398 ~1987
9911953594717198 ~1987
9911963198239278 ~1986
9912251198245038 ~1986
9912491198249838 ~1986
9912599198251998 ~1986
9912659198253198 ~1986
9912671198253438 ~1986
9912689793015138 ~1987
9912719198254398 ~1986
99132175551401539 ~1989
9913283198265678 ~1986
99134394163644399 ~1989
9913511198270238 ~1986
1038
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25-11-02