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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
342365968473197 ~1982
342368368473677 ~1982
342386368477277 ~1982
3423899616301838 ~1984
34240631369625219 ~1985
3424073479370238 ~1984
34241511095728339 ~1985
3424207342420718 ~1984
3424243821818338 ~1985
3424307273944578 ~1983
3424397821855298 ~1985
3424459342445918 ~1984
342455968491197 ~1982
3424621753416638 ~1985
342464368492877 ~1982
342470368494077 ~1982
3424727273978178 ~1983
342476368495277 ~1982
3424901273992098 ~1983
3424933753485278 ~1985
342535168507037 ~1982
3425447274035778 ~1983
342584368516877 ~1982
342587968517597 ~1982
34260771027823119 ~1985
Exp. Prime Factor Digits Year
342611968522397 ~1982
34261393015002339 ~1986
3426217548194738 ~1984
342635968527197 ~1982
34264914180319039 ~1986
342662368532477 ~1982
34268232467312579 ~1986
3427093205625598 ~1983
3427141205628478 ~1983
342721168544237 ~1982
3427327342732718 ~1984
3427393754026478 ~1985
34274691302438239 ~1985
3427687342768718 ~1984
3427703822648738 ~1985
3427799274223938 ~1983
34278592536615679 ~1986
3427903342790318 ~1984
3427913479907838 ~1984
34280234662111299 ~1987
342823168564637 ~1982
3428281205696878 ~1983
3428497548559538 ~1984
342865168573037 ~1982
3428717480020398 ~1984
Exp. Prime Factor Digits Year
342878368575677 ~1982
34288071920131939 ~1986
342881968576397 ~1982
34288512263041679 ~1986
3429067342906718 ~1984
3429077480070798 ~1984
3429091342909118 ~1984
3429113205746798 ~1983
342913168582637 ~1982
3429193548670898 ~1984
342920368584077 ~1982
3429331617279598 ~1984
3429479617306238 ~1984
3429583342958318 ~1984
3429583823099938
3429619823108578 ~1985
3429697205781838 ~1983
3429779274382338 ~1983
3429857274388578 ~1983
3429901205794078 ~1983
3429977205798638 ~1983
3429977274398178
342998368599677 ~1982
3430171343017118 ~1984
343033168606637 ~1982
Exp. Prime Factor Digits Year
3430363823287138 ~1985
343039168607837 ~1982
343040368608077 ~1982
343049968609997 ~1982
3430517205831038 ~1983
343063168612637 ~1982
3430949274475938 ~1983
3430951617571198 ~1984
343106368621277 ~1982
3431119617601438 ~1984
343117168623437 ~1982
3431353205881198 ~1983
3431453205887198 ~1983
3431473205888398 ~1983
3431507274520578 ~1983
3431537205892238 ~1983
343178368635677 ~1982
3431881262882084710 ~1988
3432001205920078 ~1983
34320611578748079 ~1985
3432137205928238 ~1983
3432431274594498 ~1983
3432437480541198 ~1984
343250368650077 ~1982
3432851617913198 ~1984
544
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25-06-29