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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.
Exponent Prime Factor Digits Year
34972403699448078 ~1990
34973051699461038 ~1990
349735033497350319 ~1992
349739092797912739 ~1991
34974239699484798 ~1990
349752712798021699 ~1991
34975723146898036710 ~1993
34975763699515278 ~1990
34975799699515998 ~1990
34975991699519838 ~1990
34977023699540478 ~1990
34977359699547198 ~1990
349775392798203139 ~1991
34977671699553438 ~1990
34978019699560398 ~1990
349790932098745599 ~1991
349793412098760479 ~1991
34979663699593278 ~1990
349801612098809679 ~1991
349804972098829839 ~1991
34983479699669598 ~1990
34984919699698398 ~1990
34985123699702478 ~1990
34986131699722638 ~1990
34987019699740398 ~1990
Exponent Prime Factor Digits Year
34988903699778078 ~1990
34989803699796078 ~1990
34991063699821278 ~1990
349912132099472799 ~1991
34992539699850798 ~1990
34994471699889438 ~1990
34994651699893038 ~1990
34995479699909598 ~1990
34995899699917998 ~1990
34995923699918478 ~1990
34996079699921598 ~1990
349967212099803279 ~1991
34997051699941038 ~1990
34998599699971998 ~1990
349990372099942239 ~1991
349999332099995999 ~1991
35000159700003198 ~1990
35000879700017598 ~1990
35001539700030798 ~1990
35002211700044238 ~1990
35003099700061998 ~1990
35003183700063678 ~1990
35003411700068238 ~1990
35003471700069438 ~1990
35003879700077598 ~1990
Exponent Prime Factor Digits Year
35005259700105198 ~1990
35005403700108078 ~1990
350058012100348079 ~1991
35005979700119598 ~1990
350066235601059699 ~1992
35007431700148638 ~1990
350076532100459199 ~1991
350079719102072479 ~1993
35008019700160398 ~1990
350083812100502879 ~1991
35008871700177438 ~1990
350090332100541999 ~1991
35009063700181278 ~1990
35010011700200238 ~1990
35011643700232878 ~1990
35011919700238398 ~1990
35011943700238878 ~1990
350120092800960739 ~1991
35013299700265998 ~1990
35013479700269598 ~1990
350138092801104739 ~1991
35014163700283278 ~1990
350144392801155139 ~1991
35016479700329598 ~1990
350177932101067599 ~1991
Exponent Prime Factor Digits Year
35018099700361998 ~1990
35018279700365598 ~1990
35018603700372078 ~1990
35019059700381198 ~1990
35019503700390078 ~1990
35020763700415278 ~1990
35022131700442638 ~1990
35023463700469278 ~1990
35023643700472878 ~1990
35024579700491598 ~1990
35024831700496638 ~1990
350257132101542799 ~1991
35025983700519678 ~1990
35027579700551598 ~1990
35027711700554238 ~1990
350290374904065199 ~1992
35029619700592398 ~1990
35029679700593598 ~1990
350297172101783039 ~1991
350301112802408899 ~1991
35030519700610398 ~1990
35030951700619038 ~1990
350312233503122319 ~1992
35031239700624798 ~1990
35032331700646638 ~1990
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25-03-23