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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
2246281134776878 ~1982
224633944926797 ~1981
2246359404344638 ~1983
2246399539135778 ~1983
2246417134785038 ~1982
2246683224668318 ~1982
2246791224679118 ~1982
224683144936637 ~1981
2246869494311198 ~1983
224708344941677 ~1981
2247101179768098 ~1982
224713144942637 ~1981
2247173134830398 ~1982
2247449179795938 ~1982
2247461674238318 ~1983
2247521134851278 ~1982
22477936428687999 ~1986
2247857179828578 ~1982
22479132292871279 ~1985
2247991224799118 ~1982
224801944960397 ~1981
2248021134881278 ~1982
2248087404655678 ~1983
224827144965437 ~1981
2248303224830318 ~1982
Exp. Prime Factor Digits Year
224843944968797 ~1981
2248567899426818 ~1984
2248661134919678 ~1982
224867944973597 ~1981
2248769179901538 ~1982
2248787584684638 ~1983
2248853134931198 ~1982
2248901134934078 ~1982
224891944978397 ~1981
2248999224899918 ~1982
2249113109306891910 ~1986
224917144983437 ~1981
224918344983677 ~1981
224923144984637 ~1981
2249591179967298 ~1982
224960344992077 ~1981
224978344995677 ~1981
2249813134988798 ~1982
2249911404983998 ~1983
2250163225016318 ~1982
2250403945169278 ~1984
2250559225055918 ~1982
2250679225067918 ~1982
2250793135047598 ~1982
2250917315128398 ~1983
Exp. Prime Factor Digits Year
2250929315130078 ~1983
2250977180078178 ~1982
225103145020637 ~1981
225110345022077 ~1981
22511295357687039 ~1986
2251153360184498 ~1983
225116345023277 ~1981
225121145024237 ~1981
2251279405230238 ~1983
225145145029037 ~1981
2251451405261198
225155945031197 ~1981
225170345034077 ~1981
2251727405310878 ~1983
2251819225181918 ~1982
2251841180147298 ~1982
2251927405346878 ~1983
2252113135126798 ~1982
22521491576504319 ~1984
2252219405399438 ~1983
22523891216290079 ~1984
2252477135148638 ~1982
22526392342744579 ~1985
2252897180231778 ~1982
2252917135175038 ~1982
Exp. Prime Factor Digits Year
2252917901166818
2253127360500338 ~1983
22531371757446879 ~1984
2253193135191598 ~1982
2253203540768738 ~1983
2253281180262498 ~1982
2253311405595998 ~1983
225332345066477 ~1981
2253451225345118 ~1982
2253481135208878 ~1982
225353945070797 ~1981
225365945073197 ~1981
2253721360595378 ~1983
22537211983274499
2253803721216978 ~1984
2253821180305698 ~1982
2253847225384718 ~1982
225389945077997 ~1981
2253997540959298 ~1983
22539971036838639
2254501495990238 ~1983
2254531405815598 ~1983
225464345092877 ~1981
2254697180375778 ~1982
225479945095997 ~1981
412
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25-04-06