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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
2708581433372978 ~1983
2708597379203598 ~1983
2708633162517998 ~1982
2708647487556478 ~1984
2708669216693538 ~1983
27087532979628319 ~1985
27087671083506819 ~1984
2708801162528078 ~1982
270887954177597 ~1981
270890354178077 ~1981
2708903650136738
270899954179997 ~1981
270902354180477 ~1981
2709061595993438 ~1984
2709073162544398 ~1982
2709107216728578 ~1983
27092831733941139 ~1985
27092932167434419 ~1985
2709313812793918 ~1984
270935954187197 ~1981
2709467216757378 ~1983
2709643270964318 ~1983
27097676069878099 ~1986
2709787270978718 ~1983
2709877162592638 ~1982
Exp. Prime Factor Digits Year
27098873251864419 ~1986
2709899216791938 ~1983
2710193162611598 ~1982
2710241162614478 ~1982
2710289379440478 ~1983
2710373867319378 ~1984
271043954208797 ~1981
2710457379463998 ~1983
2710663433706098 ~1983
2710889867484498 ~1984
2710921162655278 ~1982
2710937379531198 ~1983
271094354218877 ~1981
2711087704882638 ~1984
271123154224637 ~1981
2711399216911938 ~1983
2711461162687678 ~1982
271178354235677 ~1981
2712161216972898 ~1983
271217954243597 ~1981
2712293650950338 ~1984
271237154247437 ~1981
2712377216990178 ~1983
271249154249837 ~1981
2712883271288318 ~1983
Exp. Prime Factor Digits Year
27129431139436079 ~1984
271297154259437 ~1981
2712989379818478 ~1983
2713079217046338 ~1983
2713253379855438 ~1983
27132594558275139 ~1986
2713493162809598 ~1982
2713493379889038
2713553162813198 ~1982
2713813597038878 ~1984
2713817217105378 ~1983
271388354277677 ~1981
271394354278877 ~1981
2714021217121698 ~1983
271417154283437 ~1981
2714279217142338 ~1983
271430354286077 ~1981
2714311434289778 ~1983
2714419271441918 ~1983
2714557104238988910 ~1987
271471154294237 ~1981
271490354298077 ~1981
2714909380087278 ~1983
2714941597287038 ~1984
27149411900458719
Exp. Prime Factor Digits Year
2714953597289678 ~1984
2715109597323998 ~1984
2715281217222498 ~1983
2715481434476978 ~1983
27155332606911699 ~1985
271589954317997 ~1981
27159831955507779 ~1985
271616354323277 ~1981
2716279271627918 ~1983
2716289380280478 ~1983
27163271575469679 ~1985
2716397162983838 ~1982
2716543434646898 ~1983
2716733380342638 ~1983
271673954334797 ~1981
2716739217339138
271682354336477 ~1981
27169931956234979 ~1985
2717137163028238 ~1982
2717201163032078 ~1982
2717233597791278 ~1984
2717291217383298 ~1983
271741154348237 ~1981
2717441163046478 ~1982
271765154353037 ~1981
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25-04-06