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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
8561341513680478 ~1986
8561479856147918 ~1987
85615731198620239 ~1987
8561603171232078 ~1985
8562311171246238 ~1985
8562343856234318 ~1987
8562377513742638 ~1986
8562551685004098 ~1987
8562803171256078 ~1985
8562857685028578 ~1987
8563031171260638 ~1985
8563283171265678 ~1985
8563517685081378 ~1987
8563559171271198 ~1985
8563741513824478 ~1986
8563811171276238 ~1985
8563811685104898
8564063171281278 ~1985
85641132569233919 ~1988
8564123171282478 ~1985
85641771198984799 ~1987
8564273513856398 ~1986
8564813513888798 ~1986
8565281513916878 ~1986
8565581685246498 ~1987
Exp. Prime Factor Digits Year
8565691856569118 ~1987
8565971171319438 ~1985
8566021513961278 ~1986
8566319171326398 ~1985
8566451171329038 ~1985
8566469685317538 ~1987
8566559171331198 ~1985
8566703171334078 ~1985
8566823171336478 ~1985
85671793426871619 ~1988
85672031370752499 ~1987
8567591685407298 ~1987
8568011171360238 ~1985
8568179171363598 ~1985
8568611171372238 ~1985
8568773514126398 ~1986
85689611371033779 ~1987
85689791542416239 ~1987
8569031171380638 ~1985
85693215998524719 ~1989
8569441514166478 ~1986
85694931199729039 ~1987
8569559171391198 ~1985
8569637514178238 ~1986
8569679171393598 ~1985
Exp. Prime Factor Digits Year
85697633599300479 ~1988
8569937685594978 ~1987
8569987856998718 ~1987
8570137514208238 ~1986
8570279171405598 ~1985
8570357514221438 ~1986
8570647857064718 ~1987
85710671542792079 ~1987
85712711542828799 ~1987
85713611371417779 ~1987
8571401514284078 ~1986
85718032228668799 ~1988
8571811857181118 ~1987
8571839685747138 ~1987
8571973514318398 ~1986
8572141514328478 ~1986
85722291200112079 ~1987
8572331171446638 ~1985
8572541197168443110 ~1990
8572643171452878 ~1985
85726938229785299 ~1989
8572727685818178 ~1987
8572853514371198 ~1986
8572871171457438 ~1985
8573393514403598 ~1986
Exp. Prime Factor Digits Year
8573437169754052710 ~1990
8573441514406478 ~1986
8573519685881538 ~1987
8573843200627926310 ~1990
8573849685907938 ~1987
85744032915297039 ~1988
8574437685954978 ~1987
8574743171494878 ~1985
8574809685984738 ~1987
8574857514491438 ~1986
8574911171498238 ~1985
8574959171499198 ~1985
8575117514507038 ~1986
8575331686026498 ~1987
8575493514529598 ~1986
8575603857560318 ~1987
85756493258746639 ~1988
8575657514539438 ~1986
8575733514543998 ~1986
8575751171515038 ~1985
8575829686066338 ~1987
8576219686097538 ~1987
8576573514594398 ~1986
8576699171533998 ~1985
85768511543833199 ~1987
955
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25-10-20