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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
210569942113997 ~1980
210581942116397 ~1980
21058631389869599 ~1984
210596342119277 ~1980
2106019716046478 ~1983
210605942121197 ~1980
2106217631865118 ~1983
210623942124797 ~1980
2106329168506338 ~1982
2106341126380478 ~1982
2106421463412638 ~1983
210643142128637 ~1980
2106437294901198 ~1982
2106479168518338 ~1982
210649142129837 ~1980
210655142131037 ~1980
2106737800560078 ~1984
2106781126406878 ~1982
2106781337084978
2106781463491838
2106877126412638 ~1982
21068775562155299
21069313918891679 ~1985
2106983175722382310 ~1987
210710342142077 ~1980
Exp. Prime Factor Digits Year
2107177632153118 ~1983
210740342148077 ~1980
21074511180172579 ~1984
2107663210766318 ~1982
210775142155037 ~1980
2107837126470238 ~1982
21078491011767539 ~1984
210800342160077 ~1980
2108033674570578 ~1983
2108047505931298 ~1983
210806342161277 ~1980
21081772698466579 ~1985
2108263210826318 ~1982
2108453632535918 ~1983
2108497337359538 ~1983
210853142170637 ~1980
2108669168693538 ~1982
2108809506114178 ~1983
2108839843535618 ~1984
2108879168710338 ~1982
2109053295267438 ~1982
210917942183597 ~1980
2109179168734338
21092531138996639 ~1984
210931142186237 ~1980
Exp. Prime Factor Digits Year
2109403337504498 ~1983
2109553126573198 ~1982
2109617295346398 ~1982
2109619131640225710 ~1986
2109739379753038 ~1983
210974342194877 ~1980
210979142195837 ~1980
2109869632960718 ~1983
210991142198237 ~1980
2109973632991918 ~1983
211001942200397 ~1980
2110037295405198 ~1982
2110063211006318 ~1982
211010342202077 ~1980
211025942205197 ~1980
211034342206877 ~1980
2110439379879038 ~1983
2110469295465678 ~1982
211052342210477 ~1980
2110543211054318 ~1982
2110553126633198 ~1982
2110621633186318 ~1983
2111051168884098 ~1982
211115942223197 ~1980
2111177126670638 ~1982
Exp. Prime Factor Digits Year
2111231168898498 ~1982
21113032533563619 ~1985
2111311211131118 ~1982
2111311380035998
2111357295589998 ~1982
2111387168910978 ~1982
2111453295603438 ~1982
2111491211149118 ~1982
2111497126689838 ~1982
2111513126690798 ~1982
2111579506778978 ~1983
211177142235437 ~1980
2111789675772498 ~1983
21117891647195439
2111897126713838 ~1982
2111897506855298
21120172027536339 ~1985
2112161126729678 ~1982
211219142243837 ~1980
2112329168986338 ~1982
2112337126740238 ~1982
2112353506964738 ~1983
21123531689882419
211241942248397 ~1980
2112569169005538 ~1982
410
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26-05-03