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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
2782568515565137039 ~1997
2782583995565167999 ~1997
278262157667829176910 ~2000
2782705195565410399 ~1997
2782766395565532799 ~1997
278292761222634208910 ~1998
2782930795565861599 ~1997
2782932715565865439 ~1997
2782941715565883439 ~1997
2783039395566078799 ~1997
2783063515566127039 ~1997
278317393166990435910 ~1998
2783188795566377599 ~1997
2783262115566524239 ~1997
278334677167000806310 ~1998
2783450515566901039 ~1997
2783477035566954079 ~1997
2783487235566974479 ~1997
2783508235567016479 ~1997
2783605915567211839 ~1997
2783610715567221439 ~1997
278374333167024599910 ~1998
2783753515567507039 ~1997
2783812195567624399 ~1997
2783843395567686799 ~1997
Exponent Prime Factor Digits Year
2783900891113560356111 ~2000
278390753167034451910 ~1998
2783913595567827199 ~1997
2784026995568053999 ~1997
2784064315568128639 ~1997
2784085195568170399 ~1997
2784091435568182879 ~1997
2784092035568184079 ~1997
2784139315568278639 ~1997
2784201235568402479 ~1997
2784288835568577679 ~1997
278431177668234824910 ~2000
2784350395568700799 ~1997
278436793167062075910 ~1998
2784401995568803999 ~1997
278441879222753503310 ~1998
2784465835568931679 ~1997
278455277167073166310 ~1998
278460851501229531910 ~1999
278463469668312325710 ~2000
2784767995569535999 ~1997
2784768715569537439 ~1997
2784884995569769999 ~1997
2784907315569814639 ~1997
2784975595569951199 ~1997
Exponent Prime Factor Digits Year
2785036795570073599 ~1997
2785038595570077199 ~1997
278507297167104378310 ~1998
2785108915570217839 ~1997
2785166035570332079 ~1997
278520301167112180710 ~1998
2785227711336909300911 ~2000
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
278593589222874871310 ~1998
2786009515572019039 ~1997
2786227315572454639 ~1997
2786244595572489199 ~1997
Exponent Prime Factor Digits Year
2786265115572530239 ~1997
2786270035572540079 ~1997
278634137222907309710 ~1998
2786400235572800479 ~1997
2786439715572879439 ~1997
2786544595573089199 ~1997
2786556235573112479 ~1997
2786593611560492421711 ~2000
2786606395573212799 ~1997
2786801515573603039 ~1997
278685677167211406310 ~1998
2786983795573967599 ~1997
2787050395574100799 ~1997
2787153835574307679 ~1997
278716261167229756710 ~1998
2787163315574326639 ~1997
278718607278718607110 ~1999
2787236035574472079 ~1997
2787428515574857039 ~1997
2787460435574920879 ~1997
2787470995574941999 ~1997
2787500995575001999 ~1997
2787532915575065839 ~1997
278754137167252482310 ~1998
2787651115575302239 ~1997
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25-04-20