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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.
Exponent Prime Factor Digits Year
99783837184435779
9978431199568638 ~1986
9978599199571998 ~1986
9978613191589369710 ~1991
9978821598729278 ~1987
9979019199580398 ~1986
9979283199585678 ~1986
9979511798360898 ~1987
9979811199596238 ~1986
99800292195606399 ~1988
9980123199602478 ~1986
99801671796430079 ~1988
9980471199609438 ~1986
99806292395350979 ~1988
9980749101803639910 ~1990
9981221598873278 ~1987
9981557598893438 ~1987
9982127798570178 ~1987
9982319199646398 ~1986
9982373598942398 ~1987
9982499199649998 ~1986
9982681598960878 ~1987
9983101598986078 ~1987
9983339199666798 ~1986
9983423199668478 ~1986
Exponent Prime Factor Digits Year
9983723199674478 ~1986
9983773599026398 ~1987
9984251199685038 ~1986
99849132196680879 ~1988
9985033599101998 ~1987
9985093599105598 ~1987
9985123998512318 ~1987
9985421798833698 ~1987
9985433599125998 ~1987
9985499199709998 ~1986
9985799199715998 ~1986
9986069798885538 ~1987
9986351199727038 ~1986
9986699199733998 ~1986
9987119199742398 ~1986
9987311199746238 ~1986
9987413599244798 ~1987
9987443199748878 ~1986
9987533599251998 ~1987
9988211199764238 ~1986
9988403199768078 ~1986
9989159199783198 ~1986
99891976992437919 ~1989
9989879199797598 ~1986
9990251199805038 ~1986
Exponent Prime Factor Digits Year
9990731199814638 ~1986
9990863199817278 ~1986
9991139199822798 ~1986
9991141599468478 ~1987
9991199199823998 ~1986
9991259199825198 ~1986
9991343199826878 ~1986
9991379199827598 ~1986
9992197599531838 ~1987
9992713599562798 ~1987
9993317599599038 ~1987
9993793599627598 ~1987
9993881599632878 ~1987
9993911199878238 ~1986
9993913599634798 ~1987
9994021599641278 ~1987
9994091199881838 ~1986
9994373599662398 ~1987
9994553599673198 ~1987
9994871199897438 ~1986
9994913599694798 ~1987
9995009799600738 ~1987
9995101599706078 ~1987
99951012198922239
99952571599241139 ~1988
Exponent Prime Factor Digits Year
9995519199910398 ~1986
9995581119946972110 ~1990
9995617599737038 ~1987
9996659199933198 ~1986
9996737799738978 ~1987
9996803199936078 ~1986
99971772999153119 ~1989
9997237599834238 ~1987
9998699199973998 ~1986
99987431599798899 ~1988
9998903199978078 ~1986
9999161599949678 ~1987
9999233599953998 ~1987
9999299199985998 ~1986
9999337599960238 ~1987
9999593599975598 ~1987
9999653599979198 ~1987
9999677599980638 ~1987
9999937599996238 ~1987
10000079200001598 ~1986
10000261600015678 ~1987
10000271200005438 ~1986
10000439200008798 ~1986
100006092200133999 ~1988
100006435000321519 ~1989
1034
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25-09-07