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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
30974159619483198 ~1989
30974243619484878 ~1989
30974423619488478 ~1989
30974771619495438 ~1989
30975023619500478 ~1989
30976019619520398 ~1989
30976559619531198 ~1989
30976691619533838 ~1989
30976943619538878 ~1989
30977311204450252710 ~1993
30977351619547038 ~1989
309776992478215939 ~1991
30978203619564078 ~1989
30979391619587838 ~1989
30979451619589038 ~1989
30980219619604398 ~1989
30980591619611838 ~1989
309806171858837039 ~1991
30980759619615198 ~1989
30980819619616398 ~1989
30980843619616878 ~1989
30981239619624798 ~1989
309817072478536579 ~1991
309821872478574979 ~1991
30982271619645438 ~1989
Exponent Prime Factor Digits Year
30982379619647598 ~1989
30982751619655038 ~1989
30983723619674478 ~1989
30983819619676398 ~1989
30984071619681438 ~1989
30984119619682398 ~1989
309842234957475699 ~1992
30984539619690798 ~1989
30984683619693678 ~1989
30984851619697038 ~1989
30985343619706878 ~1989
309859312478874499 ~1991
30986243619724878 ~1989
30986339619726798 ~1989
30986363619727278 ~1989
309863692478909539 ~1991
309866474957863539 ~1992
30986759619735198 ~1989
309868072478944579 ~1991
30987023619740478 ~1989
30987179619743598 ~1989
30987503619750078 ~1989
30987791619755838 ~1989
30988151619763038 ~1989
30988319619766398 ~1989
Exponent Prime Factor Digits Year
30988403619768078 ~1989
30989039619780798 ~1989
30989771619795438 ~1989
309901611859409679 ~1991
309907811859446879 ~1991
30990863619817278 ~1989
30991139619822798 ~1989
309912531859475199 ~1991
30991703619834078 ~1989
30992231619844638 ~1989
30992471619849438 ~1989
30992639619852798 ~1989
30993251619865038 ~1989
309934011859604079 ~1991
309937492479499939 ~1991
30993913216957391110 ~1993
309946734339254239 ~1992
30994751619895038 ~1989
30995483619909678 ~1989
30995579619911598 ~1989
30995663619913278 ~1989
30995759619915198 ~1989
309958011859748079 ~1991
309958571859751439 ~1991
30996263619925278 ~1989
Exponent Prime Factor Digits Year
30996611619932238 ~1989
30997501123990004110 ~1993
30997691619953838 ~1989
30998843619976878 ~1989
30999863619997278 ~1989
31000499620009998 ~1989
31000559620011198 ~1989
31001291620025838 ~1989
31001339620026798 ~1989
31001423620028478 ~1989
310015131860090799 ~1991
310019473100194719 ~1991
31002239620044798 ~1989
31004111620082238 ~1989
310047112480376899 ~1991
31004783620095678 ~1989
31004843620096878 ~1989
31005599620111998 ~1989
31005743620114878 ~1989
310061099921954899 ~1992
310062531860375199 ~1991
310063211860379279 ~1991
31006763620135278 ~1989
31006931620138638 ~1989
31007219620144398 ~1989
1756
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25-05-04