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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
201413940282797 ~1980
2014139644524498
2014217120853038 ~1981
2014297120857838 ~1981
2014303201430318 ~1982
2014333120859998 ~1981
2014333153089308110
2014559362620638 ~1983
2014709765589438 ~1983
201473940294797 ~1980
2014867362676078 ~1983
2014877161190178 ~1982
2014939483585378 ~1983
201497940299597 ~1980
201506340301277 ~1980
20150635964586499
2015081161206498 ~1982
20152131128519299 ~1984
20153471168901279 ~1984
2015411524006878 ~1983
201542340308477 ~1980
2015579362804238 ~1983
2015621120937278 ~1981
2015627967500978 ~1984
2015731201573118 ~1982
Exp. Prime Factor Digits Year
201577140315437 ~1980
20157711451355139
2015791322526578 ~1982
201587940317597 ~1980
20159411451477539 ~1984
2016137282259198 ~1982
20161374032274019
2016193120971598 ~1981
201641940328397 ~1980
2016583322653298 ~1982
2016583685638238
201667140333437 ~1980
2016823322691698 ~1982
2016977161358178 ~1982
2017019363063438 ~1983
2017027484086498 ~1983
2017109161368738 ~1982
20171091089238879
2017133121027998 ~1981
2017289282420478 ~1982
2017333121039998 ~1981
20174031492878239 ~1984
20174031613922419
2017469605240718 ~1983
2017493121049598 ~1981
Exp. Prime Factor Digits Year
20175291573672639 ~1984
2017601605280318 ~1983
20177232623039919 ~1985
201781140356237 ~1980
20178112421373219
2017817121069038 ~1981
2017837807134818 ~1983
201791940358397 ~1980
2017931645737938 ~1983
2017963201796318 ~1982
2018077121084638 ~1981
2018171161453698 ~1982
2018183524727598 ~1983
2018299363293838 ~1983
2018383484411938 ~1983
2018437605531118 ~1983
201859140371837 ~1980
201865140373037 ~1980
2018671201867118 ~1982
2018729645993298 ~1983
2018741121124478 ~1981
2019001121140078 ~1981
2019011524942878 ~1983
2019013121140798 ~1981
2019041121142478 ~1981
Exp. Prime Factor Digits Year
2019113484587138 ~1983
201911940382397 ~1980
2019131524974078 ~1983
2019223484613538 ~1983
2019419363495438 ~1983
2019419646214098
2019487201948718 ~1982
201962340392477 ~1980
2019713121182798 ~1981
2019739201973918 ~1982
2019761121185678 ~1981
2019959363592638 ~1983
2019967686788798 ~1983
2020003323200498 ~1982
202007940401597 ~1980
202039140407837 ~1980
2020423202042318 ~1982
2020561121233678 ~1981
20208611778357699 ~1984
20208613354629279
2020961121257678 ~1981
20210171940176339 ~1984
2021167202116718 ~1982
2021203323392498 ~1982
2021237282973198 ~1982
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