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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.
Exp. Prime Factor Digits Year
7182971143659438 ~1985
7183139143662798 ~1985
71832376752242799 ~1989
7183531718353118 ~1986
71837175603299279 ~1988
71839871724156899 ~1987
7184063143681278 ~1985
7184117431047038 ~1986
71841171005776399
7184213147994787910 ~1989
7184351143687038 ~1985
7184363143687278 ~1985
7184399143687998 ~1985
7184399574751938
7184543143690878 ~1985
7184651574772098 ~1986
7184657431079438 ~1986
7184851120705496910 ~1989
7185179143703598 ~1985
7185187737200186310 ~1991
71852472442983999 ~1988
71854491724507779 ~1987
7185757431145438 ~1986
71858633018062479 ~1988
7185911143718238 ~1985
Exp. Prime Factor Digits Year
7186007311872703910 ~1990
71861331006058639 ~1987
71863031149808499 ~1987
71863073449427379 ~1988
7186331143726638 ~1985
7186391143727838 ~1985
7186477431188638 ~1986
7186679574934338 ~1986
7186799143735998 ~1985
7186919143738398 ~1985
7186973431218398 ~1986
7187077431224638 ~1986
7187189574975138 ~1986
7187281431236878 ~1986
7187399143747998 ~1985
7187777431266638 ~1986
7187783143755678 ~1985
7187861431271678 ~1986
7187963143759278 ~1985
7188017431281038 ~1986
7188149575051938 ~1986
71884491006382879 ~1987
7188743143774878 ~1985
7188901431334078 ~1986
71889532156685919 ~1987
Exp. Prime Factor Digits Year
7189103143782078 ~1985
7189423718942318 ~1986
7189439143788798 ~1985
7189463143789278 ~1985
71895611150329779 ~1987
7189603718960318 ~1986
7189751143795038 ~1985
7189757575180578 ~1986
7189921431395278 ~1986
7190003143800078 ~1985
7190219143804398 ~1985
71904131150466099 ~1987
7190471143809438 ~1985
7190489575239138 ~1986
7190699143813998 ~1985
7190921575273698 ~1986
71912412157372319 ~1987
7191347575307778 ~1986
7191421431485278 ~1986
7191491143829838 ~1985
7191533431491998 ~1986
7191593431495598 ~1986
7191911143838238 ~1985
7192103143842078 ~1985
71921871869968639 ~1987
Exp. Prime Factor Digits Year
7192321431539278 ~1986
7192553431553198 ~1986
7192711719271118 ~1986
7192903719290318 ~1986
7192931575434498 ~1986
7193051143861038 ~1985
7193171143863438 ~1985
7193231575458498 ~1986
7193323719332318 ~1986
7193383719338318 ~1986
7193401431604078 ~1986
7193591143871838 ~1985
71937311294871599 ~1987
7193789575503138 ~1986
7193899719389918 ~1986
7194251143885038 ~1985
7194269575541538 ~1986
7194563143891278 ~1985
7194739719473918 ~1986
7194877431692638 ~1986
7194959143899198 ~1985
7194973431698398 ~1986
7195217575617378 ~1986
7195313431718798 ~1986
7195679143913598 ~1985
882
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26-05-03