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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
81800411308806579 ~1987
81800411799609039
81802391472443039 ~1987
8180423163608478 ~1985
8180531163610638 ~1985
8180713490842798 ~1986
8180759163615198 ~1985
8180857490851438 ~1986
8181053490863198 ~1986
8181127818112718 ~1987
8181317654505378 ~1986
8181359163627198 ~1985
8181623163632478 ~1985
8181731163634638 ~1985
8181851163637038 ~1985
81819494418252479 ~1988
8182121490927278 ~1986
81821231309139699 ~1987
8182157490929438 ~1986
8182387818238718 ~1987
8182417490945038 ~1986
8182709654616738 ~1986
8182897490973838 ~1986
8183293490997598 ~1986
81832971963991299 ~1988
Exp. Prime Factor Digits Year
8183317490999038 ~1986
8183369654669538 ~1986
8183603163672078 ~1985
8183621654689698 ~1986
8183711163674238 ~1985
8183761491025678 ~1986
81839331145750639 ~1987
8184301491058078 ~1986
8184359163687198 ~1985
8184443163688878 ~1985
81845813110140799 ~1988
8184773491086398 ~1986
8184779163695598 ~1985
8184971163699438 ~1985
8185031163700638 ~1985
8185283163705678 ~1985
8185301654824098 ~1986
8185421491125278 ~1986
8185451163709038 ~1985
8185649654851938 ~1986
8185657491139438 ~1986
8185799163715998 ~1985
8185981491158878 ~1986
8186099163721998 ~1985
8186219163724398 ~1985
Exp. Prime Factor Digits Year
8186351163727038 ~1985
8186411163728238 ~1985
8186603163732078 ~1985
8186621491197278 ~1986
8186831163736638 ~1985
8186861491211678 ~1986
8186933491215998 ~1986
8187031818703118 ~1987
8187089654967138 ~1986
8187197654975778 ~1986
8187337103160446310 ~1989
8187373491242398 ~1986
8187539655003138 ~1986
8187719163754398 ~1985
8187719655017538
8187743163754878 ~1985
81881632620212179 ~1988
81885471473938479 ~1987
8188613491316798 ~1986
81886931801512479 ~1988
81892271474060879 ~1987
8189453491367198 ~1986
8189593491375598 ~1986
8189663163793278 ~1985
8189681491380878 ~1986
Exp. Prime Factor Digits Year
8189777655182178 ~1986
8189939163798798 ~1985
8189963163799278 ~1985
8189981491398878 ~1986
8189999163799998 ~1985
8190029655202338 ~1986
8190097491405838 ~1986
8190131163802638 ~1985
8190359163807198 ~1985
8190761655260898 ~1986
8191283163825678 ~1985
8191307655304578 ~1986
81913211310611379 ~1987
8191493491489598 ~1986
81916131965987139 ~1988
8191633491497998 ~1986
8192039163840798 ~1985
81920812621465939 ~1988
8192111163842238 ~1985
8192423163848478 ~1985
8192441491546478 ~1986
81925332457759919 ~1988
8192813491568798 ~1986
8192881491572878 ~1986
8192887819288718 ~1987
942
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26-02-08