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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
34548732487508579 ~1986
3454877483682798 ~1984
3454937207296238 ~1983
345494369098877 ~1982
34550091036502719 ~1985
345505169101037 ~1982
345533969106797 ~1982
3455479345547918 ~1984
3455519276441538 ~1984
3455527552884338 ~1984
345559169111837 ~1982
345572369114477 ~1982
3455791622042398 ~1984
34558615183791519 ~1987
3456001760320238 ~1985
34560311658894899 ~1985
3456053207363198 ~1983
3456197276495778 ~1984
3456241207374478 ~1983
3456269483877678 ~1984
3456317207379038 ~1983
3456377276510178 ~1984
3456617829588098 ~1985
34566531036995919 ~1985
3456703345670318 ~1984
Exp. Prime Factor Digits Year
345686369137277 ~1982
3457081207424878 ~1983
3457093760560478 ~1985
3457093829702338
3457217276577378 ~1984
345727169145437 ~1982
3457339345733918 ~1984
3457381553180978 ~1984
345740369148077 ~1982
3457633207457998 ~1983
345770369154077 ~1982
3457819622407438 ~1984
345787169157437 ~1982
345799169159837 ~1982
3457997207479838 ~1983
3458053207483198 ~1983
345809969161997 ~1982
3458173207490398 ~1983
345821969164397 ~1982
345836369167277 ~1982
3458381207502878 ~1983
3458677207520638 ~1983
345877169175437 ~1982
34587711106806739
345878369175677 ~1982
Exp. Prime Factor Digits Year
345889169177837 ~1982
3458921207535278 ~1983
34590894150906819 ~1986
3459103830184738 ~1985
345929969185997 ~1982
345941969188397 ~1982
3459433207565998 ~1983
3459437207566238 ~1983
345997169199437 ~1982
346013969202797 ~1982
3460201207612078 ~1983
3460271899670478 ~1985
3460319276825538 ~1984
3460619622911438 ~1984
3460693761352478 ~1985
346079969215997 ~1982
3460883830611938 ~1985
34612311453717039 ~1985
3461417276913378 ~1984
346165169233037 ~1982
346166369233277 ~1982
3461699623105838 ~1984
3461791346179118 ~1984
346213169242637 ~1982
3462131623183598
Exp. Prime Factor Digits Year
3462233207733998 ~1983
3462337553973938 ~1984
34623791177208879 ~1985
3462517207751038 ~1983
346277969255597 ~1982
346286369257277 ~1982
3462937554069938 ~1984
3462961207777678 ~1983
3463139277051138 ~1984
34631714779175999 ~1987
3463181277054498 ~1984
34631832839810079 ~1986
346319969263997 ~1982
34633074987162099 ~1987
346331969266397 ~1982
346351169270237 ~1982
3463591346359118 ~1984
3463861207831678 ~1983
3464093207845598 ~1983
3464117207847038 ~1983
3464291900715678 ~1985
34643091039292719 ~1985
346442369288477 ~1982
3464453207867198 ~1983
346457969291597 ~1982
563
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26-03-08