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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
268045153609037 ~1981
2680597160835838 ~1982
268094353618877 ~1981
2680969589813198 ~1984
268103953620797 ~1981
2681191428990578 ~1983
2681507697191838 ~1984
2681557804467118 ~1984
2681849214547938 ~1983
2681879214550338 ~1983
2682011214560898 ~1983
2682101160926078 ~1982
2682271482808798 ~1984
268235953647197 ~1981
268250353650077 ~1981
268253953650797 ~1981
268255153651037 ~1981
2683013160980798 ~1982
2683049214643938 ~1983
26830491448846479
2683063912241438 ~1984
2683099643943778 ~1984
268313953662797 ~1981
268322353664477 ~1981
2683319214665538 ~1983
Exp. Prime Factor Digits Year
2683657644077698 ~1984
2683661214692898 ~1983
2683777161026638 ~1982
268421953684397 ~1981
2684347268434718 ~1983
2684389590565598 ~1984
2684509805352718 ~1984
2684707644329698 ~1984
268471153694237 ~1981
2684711483247998
2684753375865438 ~1983
268477153695437 ~1981
2684777161086638 ~1982
26848091073923619 ~1984
2684819214785538 ~1983
2684917161095038 ~1982
26849592362763939 ~1985
268499953699997 ~1981
2685191214815298 ~1983
2685967644632098 ~1984
26859671289264179
2686141590951038 ~1984
2686217214897378 ~1983
268625953725197 ~1981
268628353725677 ~1981
Exp. Prime Factor Digits Year
2686291429806578 ~1983
2686381591003838 ~1984
2686393161183598 ~1982
268655953731197 ~1981
26866696394272239 ~1986
2686891268689118 ~1983
2686891429902578
2686921161215278 ~1982
268703953740797 ~1981
2687117161227038 ~1982
2687161429945778 ~1983
2687257161235438 ~1982
26873573601058399 ~1986
2687473429995698 ~1983
26875511128771439 ~1984
2687677161260638 ~1982
2687761161265678 ~1982
2687891215031298 ~1983
268799953759997 ~1981
2688053161283198 ~1982
26880733870825139 ~1986
268829953765997 ~1981
2688473161308398 ~1982
26884731935700579
2688559268855918 ~1983
Exp. Prime Factor Digits Year
268886353777277 ~1981
2688883430221298 ~1983
2688929215114338 ~1983
26889791075591619 ~1984
268903153780637 ~1981
268910353782077 ~1981
2689187484053678 ~1984
2689189645405378 ~1984
268922353784477 ~1981
268925953785197 ~1981
2689501591690238 ~1984
268952353790477 ~1981
2689619484131438 ~1984
268967953793597 ~1981
268969153793837 ~1981
2689861430377778 ~1983
2689957161397438 ~1982
2690041161402478 ~1982
269011153802237 ~1981
26903775111716319 ~1986
2690473161428398 ~1982
26904971291438579 ~1985
2690581161434878 ~1982
2690581807174318
2690657645757698 ~1984
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25-06-01