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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
2522119605308578 ~1984
2522237151334238 ~1982
25223631059392479 ~1984
252254350450877 ~1981
2522753151365198 ~1982
2522831807305938 ~1984
2523211403713778 ~1983
2523569807542098 ~1984
2523707454267278 ~1983
25239591211500339 ~1984
252413950482797 ~1981
252419950483997 ~1981
2524297151457838 ~1982
2524477403916338 ~1983
2524649201971938 ~1982
2524673151480398 ~1982
2524673353454238
2524747252474718 ~1983
252475150495037 ~1981
252481150496237 ~1981
252497950499597 ~1981
2525053757515918 ~1984
25251619848127919 ~1987
252527950505597 ~1981
2525417151525038 ~1982
Exp. Prime Factor Digits Year
2525489353568478 ~1983
2525507606121698 ~1984
2525647404103538 ~1983
2526049606251778 ~1984
25260491010419619
252629950525997 ~1981
2526361151581678 ~1982
252637150527437 ~1981
252638350527677 ~1981
2526521151591278 ~1982
2526571252657118 ~1983
2526583252658318 ~1983
2526607252660718 ~1983
2526653151599198 ~1982
2526697151601838 ~1982
2526743656953198 ~1984
2526847606443298 ~1984
2526893151613598 ~1982
252698350539677 ~1981
2527013353781838 ~1983
2527037151622238 ~1982
2527037202162978
2527061202164898 ~1982
2527297151637838 ~1982
252740350548077 ~1981
Exp. Prime Factor Digits Year
2527597151655838 ~1982
252764350552877 ~1981
2527913151674798 ~1982
2527961151677678 ~1982
2528147455066478 ~1983
252824350564877 ~1981
252841150568237 ~1981
2528419252841918 ~1983
2528657202292578 ~1982
2528707252870718 ~1983
2528717151723038 ~1982
252881950576397 ~1981
2529151404664178 ~1983
2529161151749678 ~1982
2529181556419838 ~1984
2529251202340098 ~1982
2529391252939118 ~1983
2529419202353538 ~1982
2529419455295438
25295291365945679 ~1984
2529643252964318 ~1983
2529809202384738 ~1982
2529881202390498 ~1982
252989950597997 ~1981
2529929202394338 ~1982
Exp. Prime Factor Digits Year
2529953354193438 ~1983
252995950599197 ~1981
2529997404799538 ~1983
2530001151800078 ~1982
253004350600877 ~1981
2530109202408738 ~1982
2530271202421698 ~1982
25303012176058879 ~1985
2530727657989038 ~1984
2530777759233118 ~1984
2530783253078318 ~1983
2530793607390338 ~1984
253079950615997 ~1981
2530877354322798 ~1983
2530981556815838 ~1984
253109950621997 ~1981
2531101151866078 ~1982
253118350623677 ~1981
2531293405006898 ~1983
2531413151884798 ~1982
253142350628477 ~1981
253151950630397 ~1981
253166350633277 ~1981
2531761405081778 ~1983
2531821151909278 ~1982
444
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25-04-13