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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
42200811603630799 ~1986
422035184407037 ~1983
4220521253231278 ~1984
422054384410877 ~1983
4220813253248798 ~1984
4220971675355378 ~1985
422117984423597 ~1983
4221179337694338
422132384426477 ~1983
422141984428397 ~1983
4221467337717378 ~1984
4221473253288398 ~1984
4221541675446578 ~1985
42216413039581539 ~1987
422168384433677 ~1983
422185184437037 ~1983
42219111097696879 ~1985
4221953591073438 ~1985
4222063422206318 ~1984
42222978360148079 ~1988
422234384446877 ~1983
422239184447837 ~1983
4222391337791298
4222637591169198 ~1985
42226672786960239 ~1986
Exp. Prime Factor Digits Year
422276384455277 ~1983
4222837253370238 ~1984
42228591013486179 ~1985
42229372027009779 ~1986
4223117337849378 ~1984
42233111689324419 ~1986
4223333253399998 ~1984
422369984473997 ~1983
4223741337899298 ~1984
4223753253425198 ~1984
422375984475197 ~1983
4223831337906498 ~1984
42238391013721379 ~1985
4223959422395918 ~1984
4223981253438878 ~1984
422461184492237 ~1983
422471984494397 ~1983
4224733253483998 ~1984
42248891013973379 ~1985
42249472027974579 ~1986
422507984501597 ~1983
4225147422514718 ~1984
422521184504237 ~1983
4225357253521438 ~1984
4225513253530798 ~1984
Exp. Prime Factor Digits Year
4225547760598478 ~1985
4225633676101298 ~1985
422594384518877 ~1983
4225973253558398 ~1984
422621984524397 ~1983
42262312366689379 ~1986
4226351338108098 ~1984
4226413253584798 ~1984
422647184529437 ~1983
4226533253591998 ~1984
4226623676259698 ~1985
4226711760807998 ~1985
4227137591799198 ~1985
4227341253640478 ~1984
422738384547677 ~1983
4227511422751118 ~1984
422771984554397 ~1983
4228177253690638 ~1984
42282431014778339 ~1985
422827184565437 ~1983
42283499471501779 ~1988
4228373591972238 ~1985
4228457253707438 ~1984
422873984574797 ~1983
4228739761173038
Exp. Prime Factor Digits Year
4228787761181678 ~1985
4228793592031038 ~1985
422900384580077 ~1983
4229167422916718 ~1984
422933984586797 ~1983
4229383422938318 ~1984
422941184588237 ~1983
4229747338379778 ~1984
422978384595677 ~1983
422989184597837 ~1983
423007184601437 ~1983
423011984602397 ~1983
4230197253811838 ~1984
423031184606237 ~1983
4230311338424898
4230389338431138 ~1984
423062384612477 ~1983
4230719338457538 ~1984
423073184614637 ~1983
4230757253845438 ~1984
4230797253847838 ~1984
4230857592319998 ~1985
42309291015422979 ~1985
42309591015430179 ~1985
42310273723303779 ~1987
612
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25-04-13