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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
457460332744761999 ~1992
45746639914932798 ~1991
45746663914933278 ~1991
457471732744830399 ~1992
45747491914949838 ~1991
45748991914979838 ~1991
45749579914991598 ~1991
457502393660019139 ~1992
457503773660030179 ~1992
457514693660117539 ~1992
45751883915037678 ~1991
45752519915050398 ~1991
45753023915060478 ~1991
45753863915077278 ~1991
457538718235696799 ~1993
457553412745320479 ~1992
457572137321154099 ~1993
45758183915163678 ~1991
45758231915164638 ~1991
45758243915164878 ~1991
457582612745495679 ~1992
45758291915165838 ~1991
45760193247105042310 ~1994
45760411219649972910 ~1994
457610693660885539 ~1992
Exponent Prime Factor Digits Year
457612274576122719 ~1993
45761351915227038 ~1991
45761483915229678 ~1991
457631417322102579 ~1993
45763163915263278 ~1991
45764219915284398 ~1991
45764591915291838 ~1991
45764759915295198 ~1991
45764879915297598 ~1991
45766033137298099110 ~1994
45766163915323278 ~1991
45766859915337198 ~1991
45767411915348238 ~1991
45767651915353038 ~1991
457676993661415939 ~1992
45768179915363598 ~1991
45768491915369838 ~1991
45770999915419998 ~1991
45771119915422398 ~1991
45771359915427198 ~1991
45772799915455998 ~1991
45774083915481678 ~1991
45774359915487198 ~1991
457744332746465999 ~1992
45774479915489598 ~1991
Exponent Prime Factor Digits Year
457749972746499839 ~1992
457750073662000579 ~1992
45775811915516238 ~1991
45776303915526078 ~1991
45776651915533038 ~1991
45777983119022755910 ~1994
45778871915577438 ~1991
45779183915583678 ~1991
45779243915584878 ~1991
45779423915588478 ~1991
45779879915597598 ~1991
45783659915673198 ~1991
45784019915680398 ~1991
45784463915689278 ~1991
45785339915706798 ~1991
45785447119042162310 ~1994
45786179915723598 ~1991
45786239915724798 ~1991
45786803915736078 ~1991
457880532747283199 ~1992
45788339915766798 ~1991
457886237326179699 ~1993
457889714578897119 ~1993
457914772747488639 ~1992
457917893663343139 ~1992
Exponent Prime Factor Digits Year
45791891915837838 ~1991
45792269109901445710 ~1993
45794429137383287110 ~1994
457945013663560099 ~1992
45795479915909598 ~1991
45795791915915838 ~1991
45796871915937438 ~1991
45797291915945838 ~1991
45797399915947998 ~1991
457975394579753919 ~1993
45797639915952798 ~1991
45801779916035598 ~1991
45803123916062478 ~1991
45805031916100638 ~1991
45805559916111198 ~1991
458059132748354799 ~1992
458077037329232499 ~1993
458085377329365939 ~1993
45808739916174798 ~1991
45808859916177198 ~1991
45809243916184878 ~1991
45809591916191838 ~1991
45809639916192798 ~1991
458123411126983588711 ~1996
45812917430641419910 ~1995
2123
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25-12-14