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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
20014523400290478 ~1988
20014751400295038 ~1988
20015591400311838 ~1988
20017031400340638 ~1988
20017223400344478 ~1988
200180811201084879 ~1989
200184771601478179 ~1989
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
Exponent Prime Factor Digits Year
20023043400460878 ~1988
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 ~1989
200283411201700479 ~1989
20028731400574638 ~1988
20028863400577278 ~1988
20029199400583998 ~1988
200292411602339299 ~1989
20029403400588078 ~1988
200295313605315599 ~1990
200295611201773679 ~1989
Exponent Prime Factor Digits Year
20029991400599838 ~1988
20030291400605838 ~1988
200303271602426179 ~1989
200303336409706579 ~1991
200307611201845679 ~1989
20030771400615438 ~1988
20030831400616638 ~1988
20031059400621198 ~1988
20031659400633198 ~1988
200318832003188319 ~1990
200319891602559139 ~1989
20032163400643278 ~1988
20032283400645678 ~1988
20032679400653598 ~1988
20032751400655038 ~1988
200327513605895199
200328913605920399 ~1990
200333592003335919 ~1990
20033459400669198 ~1988
200335571202013439 ~1989
20034841192334473710 ~1992
200348931202093599 ~1989
200351531202109199 ~1989
20035283400705678 ~1988
20035451400709038 ~1988
Exponent Prime Factor Digits Year
20035943400718878 ~1988
200359971602879779 ~1989
20036171400723438 ~1988
200363211202179279 ~1989
20036603400732078 ~1988
20037359400747198 ~1988
20037659400753198 ~1988
20037791400755838 ~1988
20037911400758238 ~1988
200379371202276239 ~1989
200383736011511919 ~1991
20038619400772398 ~1988
200393871603150979 ~1989
200394731202368399 ~1989
20039639400792798 ~1988
20039843400796878 ~1988
20039891400797838 ~1988
20040803400816078 ~1988
200409131202454799 ~1989
20040959400819198 ~1988
20040983400819678 ~1988
200411871603294979 ~1989
20041799400835998 ~1988
200420411202522479 ~1989
200427171603417379 ~1989
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