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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
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
8576573514594398 ~1986
8576699171533998 ~1985
85768511543833199 ~1987
8577983171559678 ~1985
8578019171560398 ~1985
85780936004665119 ~1989
8578331171566638 ~1985
85783314117598899
8578343171566878 ~1985
8578439171568798 ~1985
Exp. Prime Factor Digits Year
8578571171571438 ~1985
8578991171579838 ~1985
8579111171582238 ~1985
8579159171583198 ~1985
8579303171586078 ~1985
8579531171590638 ~1985
8579663171593278 ~1985
85799272230781039 ~1988
8579999171599998 ~1985
8579999686399938
8580037514802238 ~1986
8580251171605038 ~1985
8580431171608638 ~1985
8580479171609598 ~1985
8580527686442178 ~1987
8580617514837038 ~1986
8580751858075118 ~1987
8580791171615838 ~1985
8580899171617998 ~1985
8580983171619678 ~1985
8581337514880238 ~1986
8581337686506978
85814291887914399 ~1988
8582891171657838 ~1985
8582921514975278 ~1986
Exp. Prime Factor Digits Year
8582963171659278 ~1985
8583073514984398 ~1986
8583203171664078 ~1985
8583361515001678 ~1986
8583923171678478 ~1985
8584151171683038 ~1985
8584679171693598 ~1985
85849872060396899 ~1988
8585039171700798 ~1985
8585513515130798 ~1986
85860134636447039 ~1989
8586121515167278 ~1986
8586239171724798 ~1985
8586323171726478 ~1985
8586443171728878 ~1985
85864811889025839 ~1988
8586497686919778 ~1987
8586661515199678 ~1986
8587123858712318 ~1987
8587693515261598 ~1986
8588539858853918 ~1987
8588903171778078 ~1985
8589011171780238 ~1985
8589613515376798 ~1986
8590073515404398 ~1986
Exp. Prime Factor Digits Year
8590199171803998 ~1985
8590391171807838 ~1985
8590537515432238 ~1986
8590553515433198 ~1986
8590733515443998 ~1986
85907831374525299 ~1987
8590811171816238 ~1985
85911131374578099 ~1987
8591183171823678 ~1985
8591327687306178 ~1987
8591483171829678 ~1985
8591507687320578 ~1987
85915072233791839
8592203171844078 ~1985
8592299171845998 ~1985
85923771202932799 ~1987
8592509687400738 ~1987
85925892577776719 ~1988
8592791171855838 ~1985
85929232234159999 ~1988
8593103171862078 ~1985
8593597515615838 ~1986
8593631171872638 ~1985
8593813515628798 ~1986
8593841515630478 ~1986
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