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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
7297127583770178 ~1986
7297271583781698 ~1986
7297379583790338 ~1986
7297571145951438 ~1985
72977111167633779 ~1987
7297933437875998 ~1986
7298177583854178 ~1986
7298231583858498 ~1986
7298591145971838 ~1985
7298663145973278 ~1985
7298699145973998 ~1985
7298849583907938 ~1986
7298891145977838 ~1985
7299203145984078 ~1985
7299317437959038 ~1986
72993172189795119
7299359145987198 ~1985
7299431145988638 ~1985
7299779583982338 ~1986
7300043146000878 ~1985
7300079584006338 ~1986
73003671314066079 ~1987
7300919584073538 ~1986
7300967584077378 ~1986
7301033438061998 ~1986
Exp. Prime Factor Digits Year
7301311730131118 ~1986
7301699146033998 ~1985
73017371168277939 ~1987
7301783153337443110 ~1990
7301831584146498 ~1986
7302311584184898 ~1986
7302587584206978 ~1986
7302731146054638 ~1985
73031472483069999 ~1988
7303301584264098 ~1986
7303451146069038 ~1985
7303511146070238 ~1985
7303843730384318 ~1986
7304057584324578 ~1986
7304123146082478 ~1985
7304183146083678 ~1985
7304621584369698 ~1986
73048511314873199 ~1987
7304879146097598 ~1985
7305323146106478 ~1985
7305383146107678 ~1985
7305757438345438 ~1986
7305923146118478 ~1985
7306217584497378 ~1986
7306841584547298 ~1986
Exp. Prime Factor Digits Year
7307387584590978 ~1986
7307477438448638 ~1986
7307483146149678 ~1985
7307551730755118 ~1986
7307621438457278 ~1986
73078491023098879 ~1987
73083071753993699 ~1987
73084013508032499 ~1988
7308611146172238 ~1985
7308683146173678 ~1985
7309187584734978 ~1986
73093211608050639 ~1987
7309391146187838 ~1985
7309529584762338 ~1986
7309619146192398 ~1985
7309619584769538
7309697438581838 ~1986
7309811146196238 ~1985
7310351146207038 ~1985
7310411584832898 ~1986
73105791754538979 ~1987
7310843146216878 ~1985
73110112339523539 ~1988
7311047584883778 ~1986
7311119146222398 ~1985
Exp. Prime Factor Digits Year
73112091023569279 ~1987
7311347584907778 ~1986
7311431146228638 ~1985
7311593438695598 ~1986
7311659146233198 ~1985
7311737438704238 ~1986
73117791316120239 ~1987
7312013438720798 ~1986
7312139146242798 ~1985
7312493438749598 ~1986
7312517438751038 ~1986
7312961585036898 ~1986
7312979146259598 ~1985
7313291146265838 ~1985
7313567585085378 ~1986
7313693438821598 ~1986
7313729585098338 ~1986
73138811170220979 ~1987
7313903146278078 ~1985
7313951146279038 ~1985
7314143146282878 ~1985
7314193438851598 ~1986
7314533438871998 ~1986
7314803146296078 ~1985
7314953438897198 ~1986
850
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25-05-04