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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
30509351610187038 ~1989
30509579610191598 ~1989
305098372440786979 ~1991
30510803610216078 ~1989
305115892440927139 ~1991
30512039610240798 ~1989
30512063610241278 ~1989
305121139153633919 ~1992
30512171610243438 ~1989
30513179610263598 ~1989
30513803610276078 ~1989
30513839610276798 ~1989
30513911610278238 ~1989
305139837933635599 ~1992
30514331610286638 ~1989
30514499610289998 ~1989
30515063610301278 ~1989
30515099610301998 ~1989
305160673051606719 ~1991
30516659610333198 ~1989
30516851610337038 ~1989
305171811831030879 ~1991
30517451610349038 ~1989
305175793051757919 ~1991
305177771831066639 ~1991
Exponent Prime Factor Digits Year
30519299610385998 ~1989
305193731831162399 ~1991
30519383610387678 ~1989
30519623610392478 ~1989
30520019610400398 ~1989
305204931831229599 ~1991
305209371831256239 ~1991
30521279610425598 ~1989
30521303610426078 ~1989
305220472441763779 ~1991
30522059610441198 ~1989
305228092441824739 ~1991
305228234883651699 ~1992
30522923610458478 ~1989
305229371831376239 ~1991
30523439610468798 ~1989
30523511610470238 ~1989
30523799610475998 ~1989
30523931610478638 ~1989
30524159610483198 ~1989
30526571610531438 ~1989
305268411831610479 ~1991
30528191610563838 ~1989
30528551610571038 ~1989
30528623610572478 ~1989
Exponent Prime Factor Digits Year
30528671610573438 ~1989
305292673052926719 ~1991
30529391610587838 ~1989
30529511610590238 ~1989
30529991610599838 ~1989
30530651610613038 ~1989
30530999610619998 ~1989
305310131831860799 ~1991
305315171831891039 ~1991
30532283610645678 ~1989
30532643610652878 ~1989
30532763610655278 ~1989
305330212442641699 ~1991
30533183610663678 ~1989
30533231610664638 ~1989
30533771610675438 ~1989
30534239610684798 ~1989
305348637939064399 ~1992
305348771832092639 ~1991
305354593053545919 ~1991
30535691610713838 ~1989
30536039610720798 ~1989
30536183610723678 ~1989
305362274885796339 ~1992
30536339610726798 ~1989
Exponent Prime Factor Digits Year
30536399610727998 ~1989
30536531610730638 ~1989
30536711610734238 ~1989
30537359610747198 ~1989
30537781122151124110 ~1993
30537791610755838 ~1989
305378473053784719 ~1991
30538691610773838 ~1989
30538811610776238 ~1989
30538883610777678 ~1989
305392214886275379 ~1992
30540131610802638 ~1989
30540371610807438 ~1989
30540479610809598 ~1989
30540539610810798 ~1989
30541139610822798 ~1989
30541271610825438 ~1989
30541403610828078 ~1989
305418974886703539 ~1992
30541943610838878 ~1989
305427171832563039 ~1991
30542783610855678 ~1989
30542819610856398 ~1989
30543599610871998 ~1989
30544823610896478 ~1989
1736
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25-04-13