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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
261053952210797 ~1981
2610761156645678 ~1982
26107871723119439 ~1985
261079152215837 ~1981
2610827208866178 ~1983
2610953156657198 ~1982
26109731827681119 ~1985
2610977156658638 ~1982
2611001208880098 ~1983
2611039626649378 ~1984
2611123261112318 ~1983
261121152224237 ~1981
261140352228077 ~1981
2611403626736738
261143952228797 ~1981
2611457156687438 ~1982
2611573417851698 ~1983
261164352232877 ~1981
261175152235037 ~1981
2611841208947298 ~1983
2611859626846178 ~1984
2611879261187918 ~1983
261199152239837 ~1981
2612167261216718 ~1983
2612249208979938 ~1983
Exp. Prime Factor Digits Year
2612321156739260110 ~1987
2612347470222478 ~1983
2612369626968578 ~1984
2612431470237598 ~1983
2612791418046578 ~1983
261299952259997 ~1981
2613113627147138 ~1984
2613139470365038 ~1983
2613227209058178 ~1983
261332352266477 ~1981
2613361156801678 ~1982
26135391097686399 ~1984
2613769575029198 ~1984
2613839246746401710 ~1988
2613847418215538 ~1983
2613901156834078 ~1982
2613953156837198 ~1982
2614067209125378 ~1983
26141031463897699 ~1985
261421152284237 ~1981
2614397156863838 ~1982
261451152290237 ~1981
2614681156880878 ~1982
2614747418359538 ~1983
261488352297677 ~1981
Exp. Prime Factor Digits Year
26148832353394719
26149871516692479 ~1985
2615083418413298 ~1983
2615089575319598 ~1984
261518352303677 ~1981
261521952304397 ~1981
261535152307037 ~1981
26154616067869539 ~1986
2615477156928638 ~1982
2615519209241538 ~1983
2615531209242498 ~1983
2615533418485298 ~1983
26155931046237219 ~1984
2615653784695918 ~1984
2615761575467438 ~1984
2615803418528498 ~1983
261583152316637 ~1981
2615903627816738 ~1984
2615903680134798
261602352320477 ~1981
261614352322877 ~1981
2616469784940718 ~1984
261667152333437 ~1981
261668352333677 ~1981
26167732721443939 ~1985
Exp. Prime Factor Digits Year
2616829575702398 ~1984
261686352337277 ~1981
261692352338477 ~1981
261695952339197 ~1981
2616959471052638
2617001157020078 ~1982
2617103680446798 ~1984
261727152345437 ~1981
2617313366423838 ~1983
2617379471128238 ~1983
2617613366465838 ~1983
2617613785283918
2617673366474238 ~1983
261769152353837 ~1981
261779952355997 ~1981
2617957157077438 ~1982
2618027471244878 ~1983
2618093837789778 ~1984
2618111680708878 ~1984
2618117628348098 ~1984
2618179628362978 ~1984
261841152368237 ~1981
2618587628460898 ~1984
2618593628462338 ~1984
2618633157117998 ~1982
472
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26-05-10