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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
674076731134815346310 ~2000
674083297404449978310 ~2001
674104283134820856710 ~2000
674111159134822231910 ~2000
674113717404468230310 ~2001
674130623134826124710 ~2000
674137483674137483110 ~2002
6741377873370688935111 ~2003
674140451134828090310 ~2000
674146139134829227910 ~2000
674153159134830631910 ~2000
674156647674156647110 ~2002
674195831134839166310 ~2000
674198381404519028710 ~2001
674216531134843306310 ~2000
674222231134844446310 ~2000
674242883134848576710 ~2000
6742542536877393380711 ~2004
674259863134851972710 ~2000
674265491134853098310 ~2000
674275109943985152710 ~2002
674284001404570400710 ~2001
674309681404585808710 ~2001
674310863134862172710 ~2000
674325167539460133710 ~2001
Exponent Prime Factor Digits Year
674346791134869358310 ~2000
674371331134874266310 ~2000
674380331134876066310 ~2000
674385857539508685710 ~2001
674408183134881636710 ~2000
674413841539531072910 ~2001
674424563134884912710 ~2000
674424851134884970310 ~2000
674488943134897788710 ~2000
674525177404715106310 ~2001
674557441404734464710 ~2001
674562191134912438310 ~2000
674576159134915231910 ~2000
674585039134917007910 ~2000
674598959134919791910 ~2000
674614751134922950310 ~2000
6746225234857282165711 ~2004
674653223134930644710 ~2000
674668751134933750310 ~2000
674684741539747792910 ~2001
674691151674691151110 ~2002
6747458531079593364911 ~2002
674763671134952734310 ~2000
674769131134953826310 ~2000
674781683134956336710 ~2000
Exponent Prime Factor Digits Year
674803733404882239910 ~2001
674812199134962439910 ~2000
674854553404912731910 ~2001
6748574111079771857711 ~2002
6748582874319093036911 ~2004
674886599539909279310 ~2001
674897819134979563910 ~2000
674899501404939700710 ~2001
674903699134980739910 ~2000
674921603134984320710 ~2000
674926223134985244710 ~2000
674937251134987450310 ~2000
674959091134991818310 ~2000
675018419135003683910 ~2000
675029363135005872710 ~2000
675033659135006731910 ~2000
675037421405022452710 ~2001
675064133405038479910 ~2001
675086353405051811910 ~2001
675142739135028547910 ~2000
675149243135029848710 ~2000
675169897405101938310 ~2001
675204899135040979910 ~2000
6752278071215410052711 ~2002
675238139135047627910 ~2000
Exponent Prime Factor Digits Year
6752390031755621407911 ~2003
675263471135052694310 ~2000
675382619135076523910 ~2000
675410303135082060710 ~2000
675415943135083188710 ~2000
6754206613106935040711 ~2003
675420983135084196710 ~2000
675433079135086615910 ~2000
675433991135086798310 ~2000
675441443135088288710 ~2000
675442199135088439910 ~2000
675470591135094118310 ~2000
675479639135095927910 ~2000
675491977405295186310 ~2001
675513263135102652710 ~2000
675526781405316068710 ~2001
675577163135115432710 ~2000
675606983135121396710 ~2000
675620051135124010310 ~2000
675624023135124804710 ~2000
675626531135125306310 ~2000
6756298933648401422311 ~2003
675640739135128147910 ~2000
675662257405397354310 ~2001
675684851135136970310 ~2000
3322
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25-05-04