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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
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
85730512743376339 ~1988
8573393514403598 ~1986
8573437169754052710 ~1990
8573441514406478 ~1986
8573519685881538 ~1987
8573843200627926310 ~1990
8573849685907938 ~1987
85744032915297039 ~1988
8574437685954978 ~1987
8574743171494878 ~1985
Exp. Prime Factor Digits Year
8574809685984738 ~1987
8574857514491438 ~1986
8574911171498238 ~1985
8574959171499198 ~1985
85749592057990179
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
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
8579651686372098 ~1987
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
Exp. Prime Factor Digits Year
8582921514975278 ~1986
8582963171659278 ~1985
8583073514984398 ~1986
8583203171664078 ~1985
8583361515001678 ~1986
8583923171678478 ~1985
8584151171683038 ~1985
8584157686732578 ~1987
8584679171693598 ~1985
85849872060396899 ~1988
8585039171700798 ~1985
8585513515130798 ~1986
85860134636447039 ~1989
8586121515167278 ~1986
8586239171724798 ~1985
8586239686899138
85863071373809139 ~1987
8586323171726478 ~1985
8586443171728878 ~1985
85864811889025839 ~1988
8586497686919778 ~1987
8586661515199678 ~1986
8587123858712318 ~1987
8587693515261598 ~1986
8587757687020578 ~1987
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26-02-08