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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
5097023101940478 ~1983
5097089407767138 ~1985
50970972446606579 ~1987
5097137305828238 ~1985
50971514179663839 ~1987
50972591733068079 ~1986
5097563101951278 ~1983
5097577305854638 ~1985
50975831223419939 ~1986
5097647407811778 ~1985
5097803101956078 ~1983
5097863101957278 ~1983
5097959101959198 ~1983
5098031101960638 ~1983
50980691223536579 ~1986
5098091101961838 ~1983
5098337713767198 ~1985
5098679407894338 ~1985
5098763101975278 ~1983
5098979101979598 ~1983
5098987509898718 ~1985
5098987815837938
5099411101988238 ~1983
5099459407956738 ~1985
5099617305977038 ~1985
Exp. Prime Factor Digits Year
5100083102001678 ~1983
5100239102004798 ~1983
5100371918066798 ~1986
5100479102009598 ~1983
5100661306039678 ~1985
5100763510076318 ~1985
5100859510085918 ~1985
5100899102017998 ~1983
5100913816146098 ~1986
5100971102019438 ~1983
5100989714138478 ~1985
5101093306065598 ~1985
5101157306069438 ~1985
5101211918217998 ~1986
5101417306085038 ~1985
5101451102029038 ~1983
5101511102030238 ~1983
5101531918275598 ~1986
5101559102031198 ~1983
5101879510187918 ~1985
5101961306117678 ~1985
5101997408159778 ~1985
5102177408174178 ~1985
5102443510244318 ~1985
5102543102050878 ~1983
Exp. Prime Factor Digits Year
5102561306153678 ~1985
5102561408204898
5102563510256318 ~1985
5102623816419698 ~1986
5102683816429298 ~1986
5102861408228898 ~1985
5103103510310318 ~1985
5103239102064798 ~1983
5103257306195438 ~1985
5103653306219198 ~1985
5103691510369118 ~1985
5104013306240798 ~1985
5104117306247038 ~1985
5104163102083278 ~1983
5104327510432718 ~1985
5104523102090478 ~1983
5104679102093598 ~1983
51046994185853199 ~1987
51047411123043039 ~1986
5105123102102478 ~1983
51051232858868899
51051716228308639 ~1988
5105231102104638 ~1983
5105237469681804110 ~1990
5105671919020798 ~1986
Exp. Prime Factor Digits Year
5105833306349998 ~1985
5105843102116878 ~1983
51059212859315779 ~1987
5106317306379038 ~1985
51065592451148339 ~1987
5106719102134398 ~1983
5106823817091698 ~1986
5107139102142798 ~1983
5107331102146638 ~1983
5107379408590338 ~1985
5107379919328238
5107439408595138 ~1985
51074811940842799 ~1986
5107643102152878 ~1983
5107651919377198 ~1986
5107691102153838 ~1983
5107693306461598 ~1985
5107801306468078 ~1985
5107997715119598 ~1985
5108039102160798 ~1983
5108137306488238 ~1985
5108399102167998 ~1983
51085812043432419 ~1987
5108639102172798 ~1983
5108639408691138
690
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25-06-01