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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
10964811118410639 ~1982
109654165792477 ~1979
109654187723297
109658321931677 ~1978
1096621241256638 ~1981
109663121932637 ~1978
1096639109663918 ~1980
109667365800397 ~1979
109669121933837 ~1978
1096703350944978 ~1981
1096807109680718 ~1980
1096829329048718 ~1981
109685365811197 ~1979
1096871526498098 ~1982
10968832106015379 ~1983
1096957592356798 ~1982
1096967811755598 ~1982
1096969526545138 ~1982
1097009263282178 ~1981
10970094475796739
1097029241346398 ~1981
109708165824877 ~1979
10971011821187679 ~1983
109722165833277 ~1979
109732187785697 ~1980
Exp. Prime Factor Digits Year
1097351351152338 ~1981
109742321948477 ~1978
109748321949677 ~1978
10974831053583699
109751365850797 ~1979
109769921953997 ~1978
10977911427128319 ~1983
1097797504986638 ~1981
109787921957597 ~1978
1097923109792318 ~1980
109793365875997 ~1979
1098017329405118 ~1981
109803765882237 ~1979
109820321964077 ~1978
10982691142199779 ~1982
10984012108929939 ~1983
109847921969597 ~1978
109861365916797 ~1979
1098649791027298 ~1982
109873121974637 ~1978
109873787898977 ~1980
109907921981597 ~1978
109922321984477 ~1978
109939121987837 ~1978
10994114749455539 ~1984
Exp. Prime Factor Digits Year
1099433153920638 ~1980
1099459197902638 ~1980
109954165972477 ~1979
1099589593778078 ~1982
10996691649503519 ~1983
1099687263924898 ~1981
109971765983037 ~1979
1099771725848878 ~1982
109979365987597 ~1979
109985921997197 ~1978
109995765997437 ~1979
110005122001037 ~1978
11001232574287839 ~1983
1100213352068178 ~1981
1100213682132078
1100303880242418 ~1982
110032166019277 ~1979
110038788030977 ~1980
110047122009437 ~1978
110048322009677 ~1978
1100557440222818 ~1981
110059122011837 ~1978
1100683704437138 ~1982
1101071198192798 ~1980
1101071462449838
Exp. Prime Factor Digits Year
11011031233235379 ~1982
110114322022877 ~1978
1101169330350718 ~1981
110117922023597 ~1978
110129988103937 ~1980
110134188107297 ~1980
110137788110177 ~1980
1101407198253278 ~1980
1101439462604398 ~1981
110161366096797 ~1979
110164166098477 ~1979
1101671198300798 ~1980
110168988135137 ~1980
1101691969488098 ~1982
1101773154248238 ~1980
1101781242391838 ~1981
110183922036797 ~1978
1101901242418238 ~1981
110191766115037 ~1979
1101967440786818 ~1981
1102063176330098 ~1980
1102063374701438
110216322043277 ~1978
110230166138077 ~1979
110230188184097
259
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25-04-13