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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
21676643433532878 ~1988
216769331300615999 ~1989
21676943433538878 ~1988
21677003433540078 ~1988
21677399433547998 ~1988
21678623433572478 ~1988
21678659433573198 ~1988
216787313902171599 ~1991
216787632167876319 ~1990
21678911433578238 ~1988
21679379433587598 ~1988
216793978238170879 ~1991
21679739433594798 ~1988
21679799433595998 ~1988
216807171300843039 ~1989
21680819433616398 ~1988
216811931300871599 ~1989
216815331300891999 ~1989
21681659433633198 ~1988
21681923433638478 ~1988
216823371300940239 ~1989
21683099433661998 ~1988
21683171433663438 ~1988
21684863433697278 ~1988
216850632168506319 ~1990
Exponent Prime Factor Digits Year
21685091433701838 ~1988
21685211433704238 ~1988
21685571433711438 ~1988
21686123433722478 ~1988
216861771301170639 ~1989
216864199108295999 ~1991
21686471433729438 ~1988
21687203433744078 ~1988
21687251433745038 ~1988
21687779433755598 ~1988
21687923433758478 ~1988
21687959433759198 ~1988
21688343433766878 ~1988
21688391433767838 ~1988
216883911735071299
21688559433771198 ~1988
21688571433771438 ~1988
21688703433774078 ~1988
21688883433777678 ~1988
216889694771573199 ~1991
216894611301367679 ~1989
21689903433798078 ~1988
21690059433801198 ~1988
21690083433801678 ~1988
21690131433802638 ~1988
Exponent Prime Factor Digits Year
21690239433804798 ~1988
21690611433812238 ~1988
21690983433819678 ~1988
216911771301470639 ~1989
21691343433826878 ~1988
21691619433832398 ~1988
21691751433835038 ~1988
21691979433839598 ~1988
21692063433841278 ~1988
21692579433851598 ~1988
21692903433858078 ~1988
21693299433865998 ~1988
216933614772539439 ~1991
21694763433895278 ~1988
216948171301689039 ~1989
21695339433906798 ~1988
21695483433909678 ~1988
21695627212617144710 ~1992
21695903433918078 ~1988
21696179433923598 ~1988
21696491433929838 ~1988
216970071735760579 ~1990
21697283433945678 ~1988
21697451433949038 ~1988
21697463433949278 ~1988
Exponent Prime Factor Digits Year
21697811433956238 ~1988
216985611301913679 ~1989
21698639433972798 ~1988
21698879433977598 ~1988
21699071433981438 ~1988
216994993905909839 ~1991
21700043434000878 ~1988
21700103434002078 ~1988
21700379434007598 ~1988
21700979434019598 ~1988
21701243434024878 ~1988
217014973472239539 ~1990
21701651434033038 ~1988
217022571736180579 ~1990
21702419434048398 ~1988
21702491434049838 ~1988
217029771302178639 ~1989
21703631434072638 ~1988
21704411434088238 ~1988
21705083434101678 ~1988
21706259434125198 ~1988
217063371302380239 ~1989
21706523434130478 ~1988
21706571434131438 ~1988
21706823434136478 ~1988
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