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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
299981959996397 ~1982
299983159996637 ~1982
2999863719967138 ~1984
2999873179992398 ~1983
3000133720031938 ~1984
300025160005037 ~1982
3000251540045198
3000289720069378 ~1984
3000463300046318 ~1983
3000469720112578 ~1984
3000617180037038 ~1983
300067160013437 ~1982
3000983780255598 ~1984
3001217420170398 ~1984
3001253420175438 ~1984
3001499240119938 ~1983
30016331200653219 ~1985
3001681480268978 ~1984
30017691140672239 ~1985
300181160036237 ~1982
300199160039837 ~1982
3001991780517678
300200360040077 ~1982
3002161480345778 ~1984
300223160044637 ~1982
Exp. Prime Factor Digits Year
3002269720544578 ~1984
300266360053277 ~1982
3002743480438898 ~1984
3002773180166398 ~1983
300284360056877 ~1982
3002917900875118 ~1984
3002981180178878 ~1983
300319160063837 ~1982
300325160065037 ~1982
30033311201332419 ~1985
30035713363999539 ~1986
300377960075597 ~1982
3003779240302338
3003971240317698 ~1983
30039711441906099
3004013180240798 ~1983
3004051300405118 ~1983
3004063300406318 ~1983
30041231201649219 ~1985
3004229240338338 ~1983
300434360086877 ~1982
3004361180261678 ~1983
3004493180269598 ~1983
3004537180272238 ~1983
3004553180273198 ~1983
Exp. Prime Factor Digits Year
300458360091677 ~1982
3004591480734578 ~1984
3004787240382978 ~1983
3004957180297438 ~1983
3005033721207938 ~1984
3005279961689298 ~1985
3005281180316878 ~1983
300533960106797 ~1982
3005417240433378 ~1983
300545960109197 ~1982
3005573180334398 ~1983
3005969420835678 ~1984
300611960122397 ~1982
3006121901836318 ~1984
3006239240499138 ~1983
30063231262655679 ~1985
3006383962042578 ~1985
300659960131997 ~1982
300662360132477 ~1982
30067131864162079 ~1985
300679160135837 ~1982
3006827240546178 ~1983
300685160137037 ~1982
3007183481149298 ~1984
30072295473156799 ~1986
Exp. Prime Factor Digits Year
3007409421037278 ~1984
3007573180454398 ~1983
30077831022646239 ~1985
300781160156237 ~1982
3007843300784318 ~1983
3007843481254898
300791960158397 ~1982
3008041481286578 ~1984
3008053180483198 ~1983
3008219240657538 ~1983
30083115354793599 ~1986
300833960166797 ~1982
3008567782227438 ~1984
3008569661885198 ~1984
30086412106048719 ~1985
3008857180531438 ~1983
3009101180546078 ~1983
300913160182637 ~1982
3009131782374078
3009241481478578 ~1984
3009341180560478 ~1983
3009379541688238 ~1984
300968360193677 ~1982
3009689902906718 ~1984
3009701180582078 ~1983
517
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26-05-03