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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
743359791486719599 ~1992
743375631486751279 ~1992
743378031486756079 ~1992
743383431486766879 ~1992
743398934460393599 ~1994
743400374460402239 ~1994
743417631486835279 ~1992
743436231486872479 ~1992
743486991486973999 ~1992
743488311486976639 ~1992
743512791487025599 ~1992
74351929832741604910 ~1997
743522511487045039 ~1992
743526831487053679 ~1992
743545191487090399 ~1992
743571595948572739 ~1994
74361389178467333710 ~1995
743615031487230079 ~1992
743619231487238479 ~1992
743624511487249039 ~1992
743632911487265839 ~1992
743636214461817279 ~1994
743643734461862399 ~1994
74366027371830135110 ~1996
743666934462001599 ~1994
Exponent Prime Factor Digits Year
743667231487334479 ~1992
743673414462040479 ~1994
74368537223105611110 ~1995
743687991487375999 ~1992
743692915949543299 ~1994
743775775950206179 ~1994
743791431487582879 ~1992
743797195950377539 ~1994
743802831487605679 ~1992
743805111487610239 ~1992
743812915950503299 ~1994
74383549580191682310 ~1996
743858091071155649711 ~1997
743861815950894499 ~1994
743868111487736239 ~1992
743868591487737199 ~1992
743895711487791439 ~1992
744011574464069439 ~1994
744012591488025199 ~1992
744013911488027839 ~1992
744015831488031679 ~1992
744020631488041279 ~1992
744030831488061679 ~1992
744033831488067679 ~1992
744070431488140879 ~1992
Exponent Prime Factor Digits Year
744082191488164399 ~1992
744084317440843119 ~1994
744122031488244079 ~1992
744124791488249599 ~1992
744150231488300479 ~1992
744162111488324239 ~1992
744169311488338639 ~1992
744173031488346079 ~1992
744175431488350879 ~1992
744198111488396239 ~1992
74420053119072084910 ~1995
744217791488435599 ~1992
744251631488503279 ~1992
744255231488510479 ~1992
744259431488518879 ~1992
744267111488534239 ~1992
744277214465663279 ~1994
744291891250410375311 ~1997
74430661580559155910 ~1996
744331191488662399 ~1992
744374774466248639 ~1994
74440111967721443110 ~1997
744417711488835439 ~1992
74451757342478082310 ~1996
744521391489042799 ~1992
Exponent Prime Factor Digits Year
744522711489045439 ~1992
744528374467170239 ~1994
744536511489073039 ~1992
74454857282928456710 ~1996
74455387178692928910 ~1995
744557391489114799 ~1992
744566631489133279 ~1992
744571134467426799 ~1994
744578631489157279 ~1992
744594711489189439 ~1992
744643191489286399 ~1992
744644511489289039 ~1992
744653991489307999 ~1992
744679495957435939 ~1994
744681711489363439 ~1992
744681831489363679 ~1992
744697495957579939 ~1994
744719395957755139 ~1994
744733614468401679 ~1994
744755391489510799 ~1992
744762711489525439 ~1992
744772191489544399 ~1992
744772374468634239 ~1994
744780734468684399 ~1994
744788631489577279 ~1992
2251
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25-04-13