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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
206849941369997 ~1980
2068553124113198 ~1981
206876341375277 ~1980
2068817124129038 ~1981
2068939703439278 ~1983
2068991372418398 ~1983
2069017993128178 ~1984
2069113124146798 ~1981
2069329455252398 ~1983
206935141387037 ~1980
206953141390637 ~1980
20696293932295119 ~1985
2069707206970718 ~1982
20697138403034799 ~1986
20698271324689299 ~1984
2069987165598978 ~1982
2069989993594738 ~1984
206999941399997 ~1980
2069999165599938
2070091372616398 ~1983
207014341402877 ~1980
2070581124234878 ~1981
207061141412237 ~1980
2070737165658978 ~1982
2070737289903198
Exp. Prime Factor Digits Year
2070799207079918 ~1982
2070839372751038 ~1983
2070877331340338 ~1983
207125941425197 ~1980
2071339207133918 ~1982
2071471207147118 ~1982
2071471372864798
2071561124293678 ~1981
2071759207175918 ~1982
207179941435997 ~1980
207185941437197 ~1980
2071961124317678 ~1981
2071991165759298 ~1982
20719972776475999 ~1985
207203941440797 ~1980
207212341442477 ~1980
2072179207217918 ~1982
2072563207256318 ~1982
2072579165806338 ~1982
2072647207264718 ~1982
2073089995082738 ~1984
2073107165848578 ~1982
2073119497548578 ~1983
2073121331699378 ~1983
2073163331706098 ~1983
Exp. Prime Factor Digits Year
2073193953668798 ~1984
2073389165871138 ~1982
20733911700180639 ~1984
2073469497632578 ~1983
2073481953801278 ~1984
2073941124436478 ~1981
207397141479437 ~1980
2073977124438638 ~1981
2074103497784738 ~1983
207413941482797 ~1980
2074159497798178 ~1983
2074169788184238 ~1983
2074273124456398 ~1981
2074411207441118 ~1982
2074411995717298
2074417124465038 ~1981
2074433497863938 ~1983
207446341489277 ~1980
207464341492877 ~1980
2074687497924898 ~1983
2074739373453038 ~1983
207481141496237 ~1980
2074817290474398 ~1982
2074931165994498 ~1982
20749517469823619 ~1986
Exp. Prime Factor Digits Year
2075011332001778 ~1983
20750111203506399
2075041124502478 ~1981
207506341501277 ~1980
2075201166016098 ~1982
207523141504637 ~1980
20752311037615519
2075273290538238 ~1982
207548341509677 ~1980
207560341512077 ~1980
20757711660616819 ~1984
207583141516637 ~1980
2075867373656078 ~1983
2075917124555038 ~1981
207605941521197 ~1980
207607141521437 ~1980
2076089290652478 ~1982
207641941528397 ~1980
207661141532237 ~1980
2076653124599198 ~1981
20766531495190179
207673141534637 ~1980
2076797290751598 ~1982
207680341536077 ~1980
2076973456934078 ~1983
400
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25-11-17