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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
2672237641336898 ~1984
267236353447277 ~1981
2672401160344078 ~1982
2672431267243118 ~1983
2672477213798178 ~1983
2672557160353438 ~1982
2672767481098078 ~1984
267278353455677 ~1981
2673173160390398 ~1982
2673271267327118 ~1983
267331153466237 ~1981
267343153468637 ~1981
2673431213874498
26736731069469219 ~1984
2673763427802098 ~1983
2673787641708898 ~1984
2673899481301838 ~1984
2673989374358478 ~1983
267404353480877 ~1981
2674069341746018310 ~1988
2674093427854898 ~1983
2674367213949378 ~1983
267440353488077 ~1981
2674577160474638 ~1982
2674927267492718 ~1983
Exp. Prime Factor Digits Year
26749431123476079 ~1984
2674961213996898 ~1983
2675017160501038 ~1982
2675081160504878 ~1982
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
Exp. Prime Factor Digits Year
267673153534637 ~1981
2676811428289778 ~1983
2676847267684718 ~1983
267692353538477 ~1981
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
2679541160772478 ~1982
2679559643094178 ~1984
2679673643121538 ~1984
Exp. Prime Factor Digits Year
26797312572541779 ~1985
26797372143789619 ~1985
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
2682271482808798 ~1984
268235953647197 ~1981
268250353650077 ~1981
268253953650797 ~1981
468
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25-09-07