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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
2275697136541838 ~1982
2275747546179298 ~1983
2276171409710798 ~1983
227624345524877 ~1981
227630345526077 ~1981
2276579409784238 ~1983
2276693136601598 ~1982
227672345534477 ~1981
2276779546426978 ~1983
22767831502676799 ~1984
2276809546434178 ~1983
22768731275048899 ~1984
227695145539037 ~1981
2276957318773998 ~1983
2276969683090718 ~1983
227699945539997 ~1981
2277013136620798 ~1982
227717945543597 ~1981
2277221136633278 ~1982
22773431457499539 ~1984
2277377182190178 ~1982
2277547546611298 ~1983
227765945553197 ~1981
227807945561597 ~1981
227809145561837 ~1981
Exp. Prime Factor Digits Year
2278091182247298
2278121136687278 ~1982
2278121683436318
22782071458052499 ~1984
2278277546786498 ~1983
227837945567597 ~1981
2278453136707198 ~1982
2278477136708638 ~1982
2278481136708878 ~1982
2278481182278498
2278517318992398 ~1983
2278543227854318 ~1982
2278637182290978 ~1982
2278807774794398 ~1984
22788231640752579 ~1984
2278981364636978 ~1983
22790332187871699 ~1985
2279119227911918 ~1982
227924345584877 ~1981
2279293136757598 ~1982
2279353364696498 ~1983
227947145589437 ~1981
22796533784223999 ~1985
2279743547138338 ~1983
22797591823807219 ~1985
Exp. Prime Factor Digits Year
2279857136791438 ~1982
2279857364777138
2280073136804398 ~1982
2280097364815538 ~1983
2280107182408578 ~1982
2280203729664978 ~1984
228035945607197 ~1981
228067145613437 ~1981
22806711824536819
228068345613677 ~1981
2280833319316638 ~1983
2280847364935538 ~1983
2280911182472898 ~1982
2281001136860078 ~1982
2281361866917198 ~1984
2281373136882398 ~1982
2281571182525698 ~1982
228161945632397 ~1981
2281619182529538
2281673144201733710 ~1987
2281751410715198 ~1983
22817932875059199 ~1985
2281823109983868710 ~1986
22818837667126899 ~1986
22819131277871299 ~1984
Exp. Prime Factor Digits Year
2282173136930398 ~1982
228224345644877 ~1981
228230345646077 ~1981
2282341136940478 ~1982
2282407410833278 ~1983
2282549867368638 ~1984
2282549242406703910
228269945653997 ~1981
228296345659277 ~1981
228319145663837 ~1981
2283377137002638 ~1982
228355145671037 ~1981
228362345672477 ~1981
2283637365381938 ~1983
2283679548082978 ~1983
2283907913562818 ~1984
22839072009838179
2284379411188238 ~1983
22846791096645939 ~1984
2284831228483118 ~1982
22848312193437779
228487145697437 ~1981
2284951365592178 ~1983
22849511325271599
228503945700797 ~1981
416
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25-04-13