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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
278409293668182303310 ~2000
2784139315568278639 ~1997
2784201235568402479 ~1997
2784254635568509279 ~1997
2784288835568577679 ~1997
278431177668234824910 ~2000
2784350395568700799 ~1997
278436793167062075910 ~1998
2784401995568803999 ~1997
278441879222753503310 ~1998
2784421195568842399 ~1997
2784465835568931679 ~1997
278455277167073166310 ~1998
278460851501229531910 ~1999
278463469668312325710 ~2000
2784767995569535999 ~1997
2784768715569537439 ~1997
2784884995569769999 ~1997
2784907315569814639 ~1997
2784954715569909439 ~1997
2784975595569951199 ~1997
2785036795570073599 ~1997
2785038595570077199 ~1997
278507297167104378310 ~1998
2785108915570217839 ~1997
Exponent Prime Factor Digits Year
2785166035570332079 ~1997
278520301167112180710 ~1998
2785227711336909300911 ~2000
2785338835570677679 ~1997
2785395595570791199 ~1997
278542559222834047310 ~1998
2785442635570885279 ~1997
2785517395571034799 ~1997
278557243947094626310 ~2000
278558201222846560910 ~1998
2785619995571239999 ~1997
2785652395571304799 ~1997
2785710115571420239 ~1997
278573389668576133710 ~2000
278580259947172880710 ~2000
278585773167151463910 ~1998
2785890715571781439 ~1997
2785913635571827279 ~1997
278592397167155438310 ~1998
278593589222874871310 ~1998
2786009515572019039 ~1997
278616731222893384910 ~1998
2786227315572454639 ~1997
2786244595572489199 ~1997
2786265115572530239 ~1997
Exponent Prime Factor Digits Year
2786270035572540079 ~1997
278634137222907309710 ~1998
2786400235572800479 ~1997
2786439715572879439 ~1997
2786544595573089199 ~1997
2786556235573112479 ~1997
2786593611560492421711 ~2001
2786606395573212799 ~1997
2786801515573603039 ~1997
278684801222947840910 ~1998
278685677167211406310 ~1998
278690053445904084910 ~1999
2786983795573967599 ~1997
2787050395574100799 ~1997
2787153835574307679 ~1997
278716261167229756710 ~1998
2787163315574326639 ~1997
278718607278718607110 ~1999
2787236035574472079 ~1997
2787358435574716879 ~1997
2787428515574857039 ~1997
2787460435574920879 ~1997
2787470995574941999 ~1997
2787500995575001999 ~1997
2787532915575065839 ~1997
Exponent Prime Factor Digits Year
278754137167252482310 ~1998
2787651115575302239 ~1997
2787700315575400639 ~1997
2787757195575514399 ~1997
2787772315575544639 ~1997
2787780115575560239 ~1997
2787824995575649999 ~1997
2787831595575663199 ~1997
2787838315575676639 ~1997
2787849595575699199 ~1997
278787137167272282310 ~1998
2787916315575832639 ~1997
2787951235575902479 ~1997
2788035235576070479 ~1997
2788046995576093999 ~1997
2788085035576170079 ~1997
278812837167287702310 ~1998
278826173390356642310 ~1999
2788263715576527439 ~1997
2788383835576767679 ~1997
2788423915576847839 ~1997
2788548835577097679 ~1997
2788577635577155279 ~1997
2788610035577220079 ~1997
278862239669269373710 ~2000
3178
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26-01-11