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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
2675111214008898 ~1983
2675117214009378 ~1983
2675131481523598 ~1984
2675293428046898 ~1983
267548353509677 ~1981
267575953515197 ~1981
2675807214064578 ~1983
2675821802746318 ~1984
2675833160549998 ~1982
2675839642201378 ~1984
26760491712671379 ~1985
26760772783120099 ~1985
2676127909883198 ~1984
26763535138597779 ~1986
26764031070561219 ~1984
2676409588809998 ~1984
2676433160585998 ~1982
26764331712917139
2676467214117378 ~1983
2676581214126498 ~1983
26765811017100799
267673153534637 ~1981
2676811428289778 ~1983
2676847267684718 ~1983
267692353538477 ~1981
Exp. Prime Factor Digits Year
26770974711690739 ~1986
267731953546397 ~1981
2677373160642398 ~1982
267758353551677 ~1981
26776075355214019 ~1986
267811153562237 ~1981
2678141160688478 ~1982
26781492088956239 ~1985
2678167428506738 ~1983
26783292089096639 ~1985
2678383267838318 ~1983
2678399482111838 ~1984
267847153569437 ~1981
267851953570397 ~1981
2678747482174478 ~1984
2679031267903118 ~1983
2679239482263038 ~1984
2679389375114478 ~1983
2679449214355938 ~1983
26794972572317139 ~1985
2679541160772478 ~1982
2679559643094178 ~1984
2679673643121538 ~1984
26797312572541779 ~1985
26797372143789619 ~1985
Exp. Prime Factor Digits Year
26797731929436579 ~1985
2679959214396738 ~1983
2679967482394078 ~1984
2679979482396238 ~1984
268009153601837 ~1981
2680367214429378 ~1983
268045153609037 ~1981
2680597160835838 ~1982
268094353618877 ~1981
2680969589813198 ~1984
268103953620797 ~1981
2681191428990578 ~1983
2681507697191838 ~1984
2681557804467118 ~1984
26815611501674179 ~1985
2681849214547938 ~1983
2681879214550338 ~1983
2682011214560898 ~1983
2682101160926078 ~1982
26821012306606879
2682271482808798 ~1984
268235953647197 ~1981
268250353650077 ~1981
268253953650797 ~1981
268255153651037 ~1981
Exp. Prime Factor Digits Year
2683013160980798 ~1982
2683049214643938 ~1983
26830491448846479
2683063912241438 ~1984
2683099643943778 ~1984
268313953662797 ~1981
268322353664477 ~1981
2683319214665538 ~1983
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
2684933805479918 ~1984
477
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26-03-15