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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
41681331250439919 ~1986
4168181250090878 ~1984
416825983365197 ~1983
416831983366397 ~1983
4168319333465538
416833183366637 ~1983
416858383371677 ~1983
41686512000952499 ~1986
416869183373837 ~1983
416894383378877 ~1983
4169119750441438 ~1985
4169387333550978 ~1984
41693931334205779 ~1986
4169513250170798 ~1984
416957983391597 ~1983
4169731750551598 ~1985
416977183395437 ~1983
4169909333592738 ~1984
4169953250197198 ~1984
4170053250203198 ~1984
4170209583829278 ~1985
4170407333632578 ~1984
417086383417277 ~1983
4170913667346098 ~1985
4170979750776238 ~1985
Exp. Prime Factor Digits Year
417109183421837 ~1983
417115183423037 ~1983
417128383425677 ~1983
4171289333703138 ~1984
4171313250278798 ~1984
4171319333705538 ~1984
4171327417132718 ~1984
417152383430477 ~1983
4171591667454578 ~1985
417161983432397 ~1983
417169183433837 ~1983
4171801250308078 ~1984
4171931333754498 ~1984
417194383438877 ~1983
417215983443197 ~1983
4172167417216718 ~1984
417218383443677 ~1983
41723091001354179 ~1985
4172431417243118 ~1984
41724791001394979 ~1985
4172513584151838 ~1985
4172537250352238 ~1984
4172579100141896110 ~1988
417263983452797 ~1983
417269983453997 ~1983
Exp. Prime Factor Digits Year
417271183454237 ~1983
4172737667637938 ~1985
4172747333819778 ~1984
4172957250377438 ~1984
417302383460477 ~1983
4173151751167198 ~1985
4173161250389678 ~1984
417331183466237 ~1983
417337183467437 ~1983
4173413250404798 ~1984
417347983469597 ~1983
4173479333878338
41735231001645539 ~1985
4173733667797298 ~1985
4173779333902338 ~1984
417415183483037 ~1983
417425983485197 ~1983
4174277250456638 ~1984
417428383485677 ~1983
417434383486877 ~1983
4174349333947938 ~1984
41744091335810899 ~1986
4174507751411278 ~1985
4174717162813963110 ~1988
41748231085453999 ~1985
Exp. Prime Factor Digits Year
4174853250491198 ~1984
4174873918472078 ~1985
417499183499837 ~1983
4174993918498478 ~1985
417529183505837 ~1983
4175291334023298
4175341668054578 ~1985
4175453250527198 ~1984
4175503417550318 ~1984
4175513250530798 ~1984
4175663714873505710 ~1990
41757471085694239 ~1985
4175957334076578 ~1984
4176157668185138 ~1985
41762291002294979 ~1985
41762333006887779 ~1987
41762391002297379 ~1985
41762691002304579 ~1985
4176281250576878 ~1984
417631313410141043112 ~1993
4176701250602078 ~1984
417680383536077 ~1983
41768171921335839 ~1986
4176919417691918 ~1984
417713983542797 ~1983
628
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26-01-11