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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
2219353532644738 ~1983
221941144388237 ~1981
22195135460001999 ~1986
221954344390877 ~1981
2219731221973118 ~1982
221977144395437 ~1981
221983144396637 ~1981
2219881133192878 ~1982
2219923221992318 ~1982
2220059399610638 ~1983
2220271222027118 ~1982
2220349488476798 ~1983
222047944409597 ~1981
222050344410077 ~1981
222055144411037 ~1981
22205531598798179 ~1984
2220653310891438 ~1983
2220773133246398 ~1982
2220773666231918
2220973355355698 ~1983
2221007177680578 ~1982
22210191066089139 ~1984
2221187177694978 ~1982
2221187399813678
2221321133279278 ~1982
Exp. Prime Factor Digits Year
222140344428077 ~1981
2221507533161698 ~1983
2221669488767198 ~1983
2221771399918798 ~1983
222187144437437 ~1981
22218711599747139
222193144438637 ~1981
2221931177754498
222199144439837 ~1981
2222039177763138 ~1982
22220891555462319 ~1984
222224344444877 ~1981
2222249177779938 ~1982
2222321177785698 ~1982
222235144447037 ~1981
222254344450877 ~1981
222257944451597 ~1981
2222593133355598 ~1982
2222621133357278 ~1982
2222653133359198 ~1982
2222653889061218
222272344454477 ~1981
2222729311182078 ~1983
2222741133364478 ~1982
2223031222303118 ~1982
Exp. Prime Factor Digits Year
222305944461197 ~1981
2223317177865378 ~1982
222344344468877 ~1981
2223623578141998 ~1983
2223701133422078 ~1982
22237011378694639
222383944476797 ~1981
222391144478237 ~1981
2223911400303998
2224247533819298 ~1983
2224267103650842310 ~1986
222455944491197 ~1981
2224657533917698 ~1983
2224661177972898 ~1982
222476344495277 ~1981
22248371557385919 ~1984
2224931177994498 ~1982
222499144499837 ~1981
2225101133506078 ~1982
222515944503197 ~1981
2225323356051698 ~1983
222533944506797 ~1981
2225339712108498
222554344510877 ~1981
2225557356089138 ~1983
Exp. Prime Factor Digits Year
222577144515437 ~1981
222581944516397 ~1981
2225887356141938 ~1983
222599944519997 ~1981
2226041133562478 ~1982
2226089534261378 ~1983
2226221133573278 ~1982
2226313133578798 ~1982
2226353133581198 ~1982
22263731558461119 ~1984
2226593133595598 ~1982
2226613356258098 ~1983
2226733489881278 ~1983
2226787757107598 ~1984
2227031400865598 ~1983
2227193133631598 ~1982
222722344544477 ~1981
222745144549037 ~1981
2227451579137278
2227501133650078 ~1982
222758344551677 ~1981
2227601178208098 ~1982
2227639534633378 ~1983
222776344555277 ~1981
2227831356452978 ~1983
410
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25-05-04