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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
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
743667231487334479 ~1992
743673414462040479 ~1994
74367991118988785710 ~1995
74368537223105611110 ~1995
743687991487375999 ~1992
743692915949543299 ~1994
743771334462627999 ~1994
Exponent Prime Factor Digits Year
743775775950206179 ~1994
743791431487582879 ~1992
743797195950377539 ~1994
743802831487605679 ~1992
743805111487610239 ~1992
743812915950503299 ~1994
74383549580191682310 ~1996
743858091071155649711 ~1997
743861815950894499 ~1994
743868111487736239 ~1992
743868591487737199 ~1992
743874711487749439 ~1992
74389349104145088710 ~1995
743895711487791439 ~1992
743925231487850479 ~1992
744011574464069439 ~1994
744012591488025199 ~1993
744013911488027839 ~1993
744015831488031679 ~1993
744019911488039839 ~1993
744020631488041279 ~1993
744030831488061679 ~1993
744033831488067679 ~1993
744053695952429539 ~1994
744070431488140879 ~1993
Exponent Prime Factor Digits Year
744082191488164399 ~1993
744084317440843119 ~1994
744107095952856739 ~1994
744122031488244079 ~1993
744124791488249599 ~1993
744150231488300479 ~1993
744162111488324239 ~1993
744169311488338639 ~1993
744173031488346079 ~1993
744175431488350879 ~1993
744198111488396239 ~1993
74420053119072084910 ~1995
744217791488435599 ~1993
744251631488503279 ~1993
744255231488510479 ~1993
744259431488518879 ~1993
744267111488534239 ~1993
744277214465663279 ~1994
744291891250410375311 ~1997
74430661580559155910 ~1996
744311695954493539 ~1994
744331191488662399 ~1993
744374774466248639 ~1994
74440111967721443110 ~1997
744417711488835439 ~1993
Exponent Prime Factor Digits Year
74451757342478082310 ~1996
744521391489042799 ~1993
744522711489045439 ~1993
744528374467170239 ~1994
744536511489073039 ~1993
74454857282928456710 ~1996
74455387178692928910 ~1995
744557391489114799 ~1993
744566631489133279 ~1993
744571134467426799 ~1994
744578631489157279 ~1993
744594711489189439 ~1993
744606231489212479 ~1993
744622311489244639 ~1993
744624111489248239 ~1993
744643191489286399 ~1993
744644511489289039 ~1993
744653991489307999 ~1993
744679495957435939 ~1994
744681711489363439 ~1993
744681831489363679 ~1993
744697495957579939 ~1994
744719395957755139 ~1994
744733614468401679 ~1994
744734334468405999 ~1994
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26-05-03