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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
20581811411636238 ~1988
20581871411637438 ~1988
20581919411638398 ~1988
20582183411643678 ~1988
20582483411649678 ~1988
20582759411655198 ~1988
20583071411661438 ~1988
20583323411666478 ~1988
20583383411667678 ~1988
205840131235040799 ~1989
205843011235058079 ~1989
20584631411692638 ~1988
20585063411701278 ~1988
20585651411713038 ~1988
20585843411716878 ~1988
20585879411717598 ~1988
205863591646908739 ~1990
20587631411752638 ~1988
20587661164701288110 ~1992
205884611235307679 ~1989
20588891411777838 ~1988
20589251411785038 ~1988
205892511647140099
20589323411786478 ~1988
205894971647159779 ~1990
Exponent Prime Factor Digits Year
20589911411798238 ~1988
20589923411798478 ~1988
20590103411802078 ~1988
205901771235410639 ~1989
20590211411804238 ~1988
20590631411812638 ~1988
20590931411818638 ~1988
20591159411823198 ~1988
20591243411824878 ~1988
20591339411826798 ~1988
20591723411834478 ~1988
205918971235513839 ~1989
205924131235544799 ~1989
205927392059273919 ~1990
205933331235599999 ~1989
20593403411868078 ~1988
20593619411872398 ~1988
20593883411877678 ~1988
20594159411883198 ~1988
20594543411890878 ~1988
20594663185351967110 ~1992
20594923494278152110 ~1993
20594963411899278 ~1988
20595359411907198 ~1988
20595871218316232710 ~1992
Exponent Prime Factor Digits Year
205962115355014879 ~1991
20596259411925198 ~1988
20596451411929038 ~1988
20596463411929278 ~1988
205968371235810239 ~1989
20597459411949198 ~1988
20597471411949438 ~1988
20597543411950878 ~1988
20597663411953278 ~1988
20597831411956638 ~1988
20598059411961198 ~1988
20598239411964798 ~1988
20598491411969838 ~1988
20598659411973198 ~1988
20598971411979438 ~1988
20599031411980638 ~1988
206003171236019039 ~1989
206008731236052399 ~1989
20601023412020478 ~1988
206013891648111139 ~1990
206019371236116239 ~1989
20602619412052398 ~1988
20603123412062478 ~1988
20603351412067038 ~1988
206034611236207679 ~1989
Exponent Prime Factor Digits Year
20603519412070398 ~1988
20603603412072078 ~1988
206037771648302179 ~1990
206039691648317539 ~1990
20604299412085998 ~1988
20604431412088638 ~1988
206048112060481119 ~1990
20605859412117198 ~1988
206059331236355999 ~1989
206059338242373219
20606219412124398 ~1988
206068971648551779 ~1990
20607263412145278 ~1988
20607623412152478 ~1988
20607767214320776910 ~1992
206079432060794319 ~1990
206081211236487279 ~1989
206085371236512239 ~1989
20609411412188238 ~1988
20609639412192798 ~1988
20610119412202398 ~1988
20610251412205038 ~1988
20610371412207438 ~1988
20610431412208638 ~1988
206105091648840739 ~1990
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