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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
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
30083115354793599 ~1986
300833960166797 ~1982
3008567782227438 ~1984
3008569661885198 ~1984
30086412106048719 ~1985
3008857180531438 ~1983
3009101180546078 ~1983
300913160182637 ~1982
3009131782374078
Exp. Prime Factor Digits Year
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
3010807481729138 ~1984
301081160216237 ~1982
3010939722625378 ~1984
30112092107846319 ~1985
3011251481800178 ~1984
Exp. Prime Factor Digits Year
301127960225597 ~1982
3011287542031678 ~1984
3011341440258054310 ~1989
301139960227997 ~1982
3011641662561038 ~1984
301166360233277 ~1982
3011803301180318 ~1983
3011857180711438 ~1983
30119711445746099 ~1985
30119711987900879
3012019301201918 ~1983
3012041180722478 ~1983
301253960250797 ~1982
3012913662840878 ~1984
30129791446229939 ~1985
3013151241052098 ~1983
30131931687388099 ~1985
30132371386089039 ~1985
301327160265437 ~1982
301333160266637 ~1982
3013427241074178 ~1983
3013531542435598 ~1984
30136431687640099 ~1985
301369160273837 ~1982
3013841241107298 ~1983
Exp. Prime Factor Digits Year
301385960277197 ~1982
3013859542494638
30138591446652339
3013963301396318 ~1983
30139732411178419 ~1986
3014041663089038 ~1984
301405160281037 ~1982
3014159241132738 ~1983
3014261241140898 ~1983
3014387241150978 ~1983
30144611446941299 ~1985
3014497180869838 ~1983
30145373315990719 ~1986
3014647301464718 ~1983
3014911301491118 ~1983
301505960301197 ~1982
3015197241215778 ~1983
3015403301540318 ~1983
3015757180945438 ~1983
3015763482522098 ~1984
301583960316797 ~1982
3015877180952638 ~1983
301589960317997 ~1982
30161335308394099 ~1986
3016219301621918 ~1983
514
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26-02-08