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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
200695074816681699 ~1991
20069531401390638 ~1988
200696331204177999 ~1989
200708993612761839 ~1990
20070971401419438 ~1988
20071631401432638 ~1988
20071643401432878 ~1988
20072051401441038 ~1988
200723691605789539 ~1989
20073071401461438 ~1988
20073143401462878 ~1988
20073419401468398 ~1988
200736731204420399 ~1989
20073731401474638 ~1988
20074031401480638 ~1988
20074139401482798 ~1988
200742772810398799 ~1990
20074283401485678 ~1988
20074511401490238 ~1988
20074643401492878 ~1988
20075183401503678 ~1988
20075339401506798 ~1988
20075591401511838 ~1988
20076299401525998 ~1988
20077163401543278 ~1988
Exponent Prime Factor Digits Year
200774275220131039 ~1991
20077703401554078 ~1988
200779211204675279 ~1989
200779731204678399 ~1989
20077979401559598 ~1988
200781673212506739 ~1990
20078339401566798 ~1988
200786232007862319 ~1990
20078783401575678 ~1988
20078843401576878 ~1988
20079239401584798 ~1988
20079491401589838 ~1988
20080031401600638 ~1988
200800316425609939
20080199401603998 ~1988
20080211401604238 ~1988
20080331401606638 ~1988
200805318032212419 ~1991
20081051401621038 ~1988
20082299401645998 ~1988
20082911401658238 ~1988
200831811204990879 ~1989
20083981204856606310 ~1992
20084243401684878 ~1988
20084579401691598 ~1988
Exponent Prime Factor Digits Year
20084591401691838 ~1988
20084783401695678 ~1988
20085239401704798 ~1988
20085563401711278 ~1988
20085623401712478 ~1988
200856297632539039 ~1991
20085743401714878 ~1988
20085839401716798 ~1988
20086091401721838 ~1988
20086271401725438 ~1988
200871312008713119 ~1990
200871416026142319 ~1991
200875933214014899 ~1990
20087603401752078 ~1988
200879534419349679 ~1991
200887073615967279 ~1990
20088839401776798 ~1988
20088911241066932110 ~1992
20089103401782078 ~1988
20089451401789038 ~1988
20090303401806078 ~1988
20090351401807038 ~1988
20090363401807278 ~1988
20090723229034242310 ~1992
200911011205466079 ~1989
Exponent Prime Factor Digits Year
20091251401825038 ~1988
200925611205553679 ~1989
200925731205554399 ~1989
20093219401864398 ~1988
200934771607478179 ~1989
20093483401869678 ~1988
20093891401877838 ~1988
20094251401885038 ~1988
20094863401897278 ~1988
200949531205697199 ~1989
200955531205733199 ~1989
20096039401920798 ~1988
20096591401931838 ~1988
200967673215482739 ~1990
200971372813599199 ~1990
20097431401948638 ~1988
20097683401953678 ~1988
20098439401968798 ~1988
200985417637445599 ~1991
200990691607925539 ~1989
20099231401984638 ~1988
20099483401989678 ~1988
20099939401998798 ~1988
20100253912551486310 ~1994
20100719402014398 ~1988
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