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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
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
300458360091677 ~1982
3004591480734578 ~1984
3004787240382978 ~1983
3004957180297438 ~1983
3005033721207938 ~1984
3005279961689298 ~1985
3005281180316878 ~1983
300533960106797 ~1982
3005417240433378 ~1983
300545960109197 ~1982
3005573180334398 ~1983
Exp. Prime Factor Digits Year
3005969420835678 ~1984
300611960122397 ~1982
3006121901836318 ~1984
3006239240499138 ~1983
30063231262655679 ~1985
3006383962042578 ~1985
300659960131997 ~1982
300662360132477 ~1982
300679160135837 ~1982
3006827240546178 ~1983
300685160137037 ~1982
3007183481149298 ~1984
30072295473156799 ~1986
3007409421037278 ~1984
3007573180454398 ~1983
300781160156237 ~1982
3007843300784318 ~1983
3007843481254898
300791960158397 ~1982
3008041481286578 ~1984
3008053180483198 ~1983
3008219240657538 ~1983
300833960166797 ~1982
3008567782227438 ~1984
3008569661885198 ~1984
Exp. Prime Factor Digits Year
30086412106048719 ~1985
3008857180531438 ~1983
3009101180546078 ~1983
300913160182637 ~1982
3009131782374078
3009241481478578 ~1984
3009341180560478 ~1983
3009379541688238 ~1984
300968360193677 ~1982
3009689902906718 ~1984
3009701180582078 ~1983
3009749240779938 ~1983
3009779240782338 ~1983
3009781180586878 ~1983
300995960199197 ~1982
301001960200397 ~1982
30102133792868399 ~1986
3010291301029118 ~1983
30103631023523439 ~1985
3010457180627438 ~1983
3010477481676338 ~1984
301049960209997 ~1982
30105372348218879 ~1985
30105438489731279 ~1987
3010621481699378 ~1984
Exp. Prime Factor Digits Year
3010807481729138 ~1984
301081160216237 ~1982
3010939722625378 ~1984
30112092107846319 ~1985
3011251481800178 ~1984
301127960225597 ~1982
3011287542031678 ~1984
3011341440258054310 ~1989
301139960227997 ~1982
3011641662561038 ~1984
301166360233277 ~1982
3011803301180318 ~1983
3011857180711438 ~1983
30119711987900879 ~1985
3012019301201918 ~1983
3012041180722478 ~1983
301253960250797 ~1982
3012913662840878 ~1984
30129791446229939 ~1985
3013151241052098 ~1983
30131931687388099 ~1985
30132371386089039 ~1985
301327160265437 ~1982
301333160266637 ~1982
3013427241074178 ~1983
501
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25-06-29