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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
200023631220144143111 ~1994
200027294800654979 ~1991
20002739400054798 ~1988
200032931200197599 ~1989
20004059400081198 ~1988
200045811600366499 ~1990
20004851400097038 ~1988
200048832000488319 ~1990
200048834801171939
200055411600443299 ~1990
200056814401249839 ~1991
20006351400127038 ~1988
20006663400133278 ~1988
200069834801675939 ~1991
20007203400144078 ~1988
20007371400147438 ~1988
20007479400149598 ~1988
200078472000784719 ~1990
200080971200485839 ~1989
20008343400166878 ~1988
200084875202206639 ~1991
20008559400171198 ~1988
20008999516232174310 ~1993
20009651400193038 ~1988
200100731200604399 ~1989
Exponent Prime Factor Digits Year
200103133201650099 ~1990
20010863400217278 ~1988
200114411200686479 ~1989
20011559400231198 ~1988
20011571400231438 ~1988
20011583400231678 ~1988
200116311600930499 ~1990
20011919400238398 ~1988
200121011200726079 ~1989
20012543400250878 ~1988
20012903400258078 ~1988
20012939400258798 ~1988
200130312001303119 ~1990
20013083400261678 ~1988
20013179400263598 ~1988
20013239400264798 ~1988
20013299400265998 ~1988
20013443400268878 ~1988
20013971400279438 ~1988
200140731200844399 ~1989
20014223400284478 ~1988
20014259400285198 ~1988
20014271400285438 ~1988
20014523400290478 ~1988
20014751400295038 ~1988
Exponent Prime Factor Digits Year
20015591400311838 ~1988
20017031400340638 ~1988
20017223400344478 ~1988
200180811201084879 ~1989
200184771601478179 ~1990
20018543400370878 ~1988
200185874804460899 ~1991
200187672001876719 ~1990
200188333203013299 ~1990
200201094804826179 ~1991
200204531201227199 ~1989
20020631400412638 ~1988
200208416006252319 ~1991
20021399400427998 ~1988
200218512002185119 ~1990
20021951400439038 ~1988
20022011400440238 ~1988
20022059400441198 ~1988
200222294404890399 ~1991
20022239400444798 ~1988
20022503400450078 ~1988
20022839228260364710 ~1992
20022851400457038 ~1988
20023043400460878 ~1988
200238596407634899 ~1991
Exponent Prime Factor Digits Year
20023931400478638 ~1988
20024579400491598 ~1988
200250673604512079 ~1990
20025419400508398 ~1988
20025503400510078 ~1988
20025611400512238 ~1988
200261411201568479 ~1989
20026151400523038 ~1988
20026463400529278 ~1988
200268713604836799 ~1990
200269211201615279 ~1989
200273634806567139 ~1991
200274371201646239 ~1989
200275079613203379 ~1991
20028083400561678 ~1988
200282091602256739 ~1990
200283411201700479 ~1989
20028731400574638 ~1988
20028863400577278 ~1988
20029199400583998 ~1988
200292411602339299 ~1990
20029403400588078 ~1988
200295313605315599 ~1990
200295611201773679 ~1989
20029991400599838 ~1988
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