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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
31337211942907039 ~1985
3133751250700098 ~1983
3133891313389118 ~1983
3134023752165538 ~1984
313406362681277 ~1982
313412362682477 ~1982
3134213188052798 ~1983
3134213438789838
3134347501495538 ~1984
3134447564200478 ~1984
3134519250761538 ~1983
3134557188073438 ~1983
3134633280863116910 ~1988
3134797501567538 ~1984
3134801288401692110 ~1988
313490362698077 ~1982
3135071250805698 ~1983
3135403501664498 ~1984
31354693762562819 ~1986
3135571313557118 ~1983
313562362712477 ~1982
313631962726397 ~1982
3136457250916578 ~1983
3136531564575598 ~1984
3136571564582798 ~1984
Exp. Prime Factor Digits Year
313663162732637 ~1982
3136649250931938 ~1983
3136667250933378 ~1983
3136877250950178 ~1983
3136933188215998 ~1983
3137117941135118 ~1985
3137257188235438 ~1983
3137371313737118 ~1983
313739962747997 ~1982
3137521188251278 ~1983
3137573439260238 ~1984
313766362753277 ~1982
3137669251013538 ~1983
3137747251019778 ~1983
3137749753059778 ~1984
3137837188270238 ~1983
3137941188276478 ~1983
313799962759997 ~1982
3138041251043298 ~1983
313807162761437 ~1982
3138361188301678 ~1983
3138449439382878 ~1984
3138521251081698 ~1983
3138593188315598 ~1983
3138671564960798 ~1984
Exp. Prime Factor Digits Year
3138799313879918 ~1983
313885162777037 ~1982
313891162778237 ~1982
3139111565039998 ~1984
313940362788077 ~1982
3139471313947118 ~1983
3139597188375838 ~1983
3139621188377278 ~1983
3139621941886318
313991962798397 ~1982
313999162799837 ~1982
3140041188402478 ~1983
314009962801997 ~1982
314018362803677 ~1982
314024362804877 ~1982
3140317502450738 ~1984
3140653188439198 ~1983
3140701942210318 ~1985
3140717439700398 ~1984
314078362815677 ~1982
3140807251264578 ~1983
31409113769093219 ~1986
3140933188455998 ~1983
3140933753823938
3141283314128318 ~1983
Exp. Prime Factor Digits Year
3141319314131918 ~1983
314137162827437 ~1982
3141473188488398 ~1983
3141557439817998 ~1984
3141647251331778 ~1983
3141877188512638 ~1983
3141883314188318 ~1983
314189962837997 ~1982
314195962839197 ~1982
314225962845197 ~1982
3142259251380738
3142333188539998 ~1983
3142393188543598 ~1983
3142393691326478
3142453502792498 ~1984
3142709251416738 ~1983
3142963502874098 ~1984
3143141251451298 ~1983
314324362864877 ~1982
3143299314329918 ~1983
3143299103728867110
31435491508903539 ~1985
314377162875437 ~1982
314405962881197 ~1982
3144059565930638
513
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25-06-01