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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
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
345889169177837 ~1982
3458921207535278 ~1983
34590894150906819 ~1986
Exp. Prime Factor Digits Year
3459103830184738 ~1985
345929969185997 ~1982
345941969188397 ~1982
3459433207565998 ~1983
3459437207566238 ~1983
345997169199437 ~1982
346013969202797 ~1982
3460201207612078 ~1983
3460213830451138 ~1985
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
3462233207733998 ~1983
3462337553973938 ~1984
Exp. Prime Factor Digits Year
34623791177208879 ~1985
3462517207751038 ~1983
346277969255597 ~1982
346286369257277 ~1982
3462937554069938 ~1984
3462961207777678 ~1983
3463139277051138 ~1984
34631714779175999 ~1987
3463181277054498 ~1984
34631832839810079 ~1986
346319969263997 ~1982
34633031177523039 ~1985
34633074987162099 ~1987
346331969266397 ~1982
346351169270237 ~1982
3463591346359118 ~1984
3463861207831678 ~1983
3464093207845598 ~1983
3464117207847038 ~1983
3464221762128638 ~1985
3464291900715678 ~1985
34643091039292719 ~1985
346442369288477 ~1982
3464453207867198 ~1983
346457969291597 ~1982
Exp. Prime Factor Digits Year
34648072563957199 ~1986
3465101207906078 ~1983
3465151554424178 ~1984
3465257207915438 ~1983
3465373554459698 ~1984
3465379346537918 ~1984
3465491623788398 ~1984
346550369310077 ~1982
3465731901090078 ~1985
3465857207951438 ~1983
3465857831805698
3465947277275778 ~1984
3465989485238478 ~1984
3466321207979278 ~1983
3466343831922338 ~1985
346649969329997 ~1982
3466601207996078 ~1983
34666131109316179 ~1985
346664369332877 ~1982
346676369335277 ~1982
346681169336237 ~1982
3466811277344898
3466933554709298 ~1984
346694369338877 ~1982
34672131040163919 ~1985
573
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26-08-30