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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.
Exponent Prime Factor Digits Year
30984119619682398 ~1990
309842234957475699 ~1992
30984539619690798 ~1990
30984683619693678 ~1990
309848171859089039 ~1991
30984851619697038 ~1990
30985343619706878 ~1990
309859312478874499 ~1991
30986243619724878 ~1990
30986339619726798 ~1990
30986363619727278 ~1990
309863692478909539 ~1991
309866474957863539 ~1992
30986759619735198 ~1990
309868072478944579 ~1991
30987023619740478 ~1990
30987179619743598 ~1990
30987503619750078 ~1990
30987791619755838 ~1990
30988151619763038 ~1990
30988319619766398 ~1990
30988403619768078 ~1990
30989039619780798 ~1990
30989771619795438 ~1990
309901611859409679 ~1991
Exponent Prime Factor Digits Year
309907811859446879 ~1991
30990863619817278 ~1990
30991139619822798 ~1990
309912531859475199 ~1991
30991703619834078 ~1990
30992231619844638 ~1990
30992471619849438 ~1990
30992639619852798 ~1990
30993251619865038 ~1990
309934011859604079 ~1991
309937492479499939 ~1991
30993913216957391110 ~1993
309946734339254239 ~1992
30994751619895038 ~1990
30995483619909678 ~1990
30995579619911598 ~1990
30995663619913278 ~1990
30995759619915198 ~1990
309958011859748079 ~1991
309958571859751439 ~1991
30996263619925278 ~1990
30996611619932238 ~1990
30997501123990004110 ~1993
30997691619953838 ~1990
30998843619976878 ~1990
Exponent Prime Factor Digits Year
30999863619997278 ~1990
31000499620009998 ~1990
31000559620011198 ~1990
31001291620025838 ~1990
31001339620026798 ~1990
31001423620028478 ~1990
310015131860090799 ~1991
310019473100194719 ~1991
31002239620044798 ~1990
31004111620082238 ~1990
310047112480376899 ~1991
31004783620095678 ~1990
31004843620096878 ~1990
31005599620111998 ~1990
31005743620114878 ~1990
310061099921954899 ~1992
310062531860375199 ~1991
310063211860379279 ~1991
31006763620135278 ~1990
31006931620138638 ~1990
31007219620144398 ~1990
310075514961208179 ~1992
310079572480636579 ~1991
310081216821786639 ~1992
31008251620165038 ~1990
Exponent Prime Factor Digits Year
31008431620168638 ~1990
310085812480686499 ~1991
31009019620180398 ~1990
31009031620180638 ~1990
31009103620182078 ~1990
31009487148845537710 ~1993
31009523620190478 ~1990
31009883620197678 ~1990
31009943620198878 ~1990
31011479620229598 ~1990
31011899620237998 ~1990
31012391620247838 ~1990
31012451620249038 ~1990
31012799620255998 ~1990
31014083620281678 ~1990
31014299620285998 ~1990
31014551620291038 ~1990
31014563620291278 ~1990
31014611620292238 ~1990
310147211860883279 ~1991
31015499620309998 ~1990
31015643620312878 ~1990
310157572481260579 ~1991
31016291620325838 ~1990
31016591620331838 ~1990
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