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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
735162359147032471910 ~2000
735174119147034823910 ~2000
7351904532205571359111 ~2003
735219659147043931910 ~2000
735238043147047608710 ~2000
735242471147048494310 ~2000
735251243147050248710 ~2000
735275531147055106310 ~2000
7352888895147022223111 ~2004
7352892598970528959911 ~2005
735337181441202308710 ~2001
735340019147068003910 ~2000
735353369588282695310 ~2002
735385151147077030310 ~2000
735393371147078674310 ~2000
735426221441255732710 ~2001
735450563147090112710 ~2000
7354670171176747227311 ~2002
735474251147094850310 ~2000
735508703147101740710 ~2000
735519173441311503910 ~2001
735548399147109679910 ~2000
7355501573530640753711 ~2004
735589163147117832710 ~2000
735615971147123194310 ~2000
Exponent Prime Factor Digits Year
735625151147125030310 ~2000
735630431147126086310 ~2000
735712811147142562310 ~2000
735715391147143078310 ~2000
735715583147143116710 ~2000
735731519147146303910 ~2000
735737111147147422310 ~2000
735741661441444996710 ~2001
735756179147151235910 ~2000
7357652271912989590311 ~2003
735782977441469786310 ~2001
735789083147157816710 ~2000
7358156691030141936711 ~2002
735840779147168155910 ~2000
735866951147173390310 ~2000
7358728735298284685711 ~2004
7358845813532245988911 ~2004
735892763147178552710 ~2000
735937283147187456710 ~2000
735938111147187622310 ~2000
735981563147196312710 ~2000
735998843147199768710 ~2000
736022641441613584710 ~2001
736091159147218231910 ~2000
7360940172944376068111 ~2003
Exponent Prime Factor Digits Year
736144763147228952710 ~2000
736170419147234083910 ~2000
736173419147234683910 ~2000
736176923147235384710 ~2000
736185733441711439910 ~2001
736194731147238946310 ~2000
736235063147247012710 ~2000
736261583147252316710 ~2000
736275119147255023910 ~2000
736295243147259048710 ~2000
736334411147266882310 ~2000
736352483147270496710 ~2000
7363597871325447616711 ~2003
7363620611178179297711 ~2002
736364831147272966310 ~2000
736400783147280156710 ~2000
736488251147297650310 ~2000
736506119147301223910 ~2000
736510559147302111910 ~2000
736524851147304970310 ~2000
736526537441915922310 ~2001
736581407589265125710 ~2002
736582163147316432710 ~2000
736593421441956052710 ~2001
736617437589293949710 ~2002
Exponent Prime Factor Digits Year
736645571147329114310 ~2000
7366651331178664212911 ~2002
736689377442013626310 ~2001
736692623147338524710 ~2000
736693271147338654310 ~2000
736693571147338714310 ~2000
736712831147342566310 ~2000
736719197589375357710 ~2002
736721519147344303910 ~2000
736778677442067206310 ~2001
736893461442136076710 ~2001
736910771147382154310 ~2000
7369847392358351164911 ~2003
736991603147398320710 ~2000
736993931147398786310 ~2000
737041637442224982310 ~2001
737041751147408350310 ~2000
737042171147408434310 ~2000
737042717442225630310 ~2001
737052083147410416710 ~2000
737072183147414436710 ~2000
737073511737073511110 ~2002
737091119147418223910 ~2000
737127491147425498310 ~2000
737131319147426263910 ~2000
3333
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25-04-13