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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
7179971574397698 ~1986
7179983143599678 ~1984
7180091143601838 ~1984
7180259143605198 ~1984
7180319143606398 ~1984
71805431148886899 ~1987
71807411579763039 ~1987
7181039143620798 ~1984
7181099143621998 ~1984
7181171143623438 ~1984
7181203718120318 ~1986
7181309574504738 ~1986
7181423143628478 ~1984
71814233590711519
7181621430897278 ~1986
71818511149096179 ~1987
7181963143639278 ~1984
71821391292785039 ~1987
7182433430945998 ~1986
7182683143653678 ~1984
7182743143654878 ~1984
7182809574624738 ~1986
7182863143657278 ~1984
7182971143659438 ~1984
7183139143662798 ~1984
Exp. Prime Factor Digits Year
7183531718353118 ~1986
71837175603299279 ~1988
71839871724156899 ~1987
7184063143681278 ~1984
7184117431047038 ~1986
7184213147994787910 ~1989
7184351143687038 ~1984
7184363143687278 ~1984
7184399143687998 ~1984
7184399574751938
7184543143690878 ~1984
7184651574772098 ~1986
7184657431079438 ~1986
7184851120705496910 ~1989
7185179143703598 ~1984
7185187737200186310 ~1991
71852472442983999 ~1988
71854491724507779 ~1987
7185757431145438 ~1986
7185911143718238 ~1984
7186007311872703910 ~1990
71861331006058639 ~1987
71863073449427379 ~1988
7186331143726638 ~1984
7186391143727838 ~1984
Exp. Prime Factor Digits Year
7186477431188638 ~1986
7186679574934338 ~1986
7186799143735998 ~1984
7186919143738398 ~1984
7186973431218398 ~1986
7187077431224638 ~1986
7187189574975138 ~1986
7187281431236878 ~1986
7187399143747998 ~1984
7187777431266638 ~1986
7187783143755678 ~1984
7187861431271678 ~1986
7187963143759278 ~1984
7188017431281038 ~1986
7188149575051938 ~1986
7188743143774878 ~1984
7188901431334078 ~1986
71889532156685919 ~1987
7189103143782078 ~1984
7189439143788798 ~1984
7189463143789278 ~1984
71895611150329779 ~1987
7189603718960318 ~1986
7189751143795038 ~1984
7189757575180578 ~1986
Exp. Prime Factor Digits Year
7189921431395278 ~1986
7190003143800078 ~1984
7190219143804398 ~1984
71904131150466099 ~1987
7190471143809438 ~1984
7190489575239138 ~1986
7190699143813998 ~1984
7190921575273698 ~1986
71912412157372319 ~1987
7191347575307778 ~1986
7191421431485278 ~1986
7191491143829838 ~1984
7191533431491998 ~1986
7191593431495598 ~1986
7191911143838238 ~1984
7192103143842078 ~1984
71921871869968639 ~1987
7192321431539278 ~1986
7192553431553198 ~1986
7192931575434498 ~1986
7193051143861038 ~1984
7193171143863438 ~1984
7193231575458498 ~1986
7193383719338318 ~1986
7193401431604078 ~1986
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