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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.
Exponent Prime Factor Digits Year
21106583422131678 ~1988
21106859422137198 ~1988
211073411266440479 ~1989
21107351422147038 ~1988
211074731266448399 ~1989
21108539422170798 ~1988
21109391422187838 ~1988
21109463422189278 ~1988
21109691422193838 ~1988
21109799422195998 ~1988
21110051422201038 ~1988
21110123422202478 ~1988
21111143422222878 ~1988
211117513800115199 ~1991
21111791422235838 ~1988
21111851422237038 ~1988
21112103422242078 ~1988
21112139422242798 ~1988
211131531266789199 ~1989
21113231422264638 ~1988
21113399422267998 ~1988
211134312111343119 ~1990
21113591422271838 ~1988
21113843422276878 ~1988
211142113378273779 ~1990
Exponent Prime Factor Digits Year
21115883422317678 ~1988
21116351422327038 ~1988
21116411422328238 ~1988
21116663422333278 ~1988
211170677179802799 ~1991
21117251422345038 ~1988
21117671422353438 ~1988
211178473378855539 ~1990
211179531267077199 ~1989
211180931267085599 ~1989
211183732956572239 ~1990
21118523422370478 ~1988
21119183422383678 ~1988
211198638447945219 ~1991
211199211689593699 ~1990
211200171267201039 ~1989
21120251422405038 ~1988
211202771267216639 ~1989
21120311422406238 ~1988
21120479422409598 ~1988
21120551422411038 ~1988
21120959422419198 ~1988
21121063202762204910 ~1992
21121319422426398 ~1988
21121619422432398 ~1988
Exponent Prime Factor Digits Year
21121631422432638 ~1988
21121949114058524710 ~1992
21121979422439598 ~1988
21122099422441998 ~1988
21122351422447038 ~1988
21122399422447998 ~1988
211229232112292319 ~1990
21122963422459278 ~1988
211231193485314635111 ~1995
211238411267430479 ~1989
21123983422479678 ~1988
21124199422483998 ~1988
21124583422491678 ~1988
21124619422492398 ~1988
21125183422503678 ~1988
211254713802584799 ~1991
21125651422513038 ~1988
21125711422514238 ~1988
21126023422520478 ~1988
21127091422541838 ~1988
211270971267625839 ~1989
21128183422563678 ~1988
21128279422565598 ~1988
211283211690265699 ~1990
21128843422576878 ~1988
Exponent Prime Factor Digits Year
21129071422581438 ~1988
21129131422582638 ~1988
21129239422584798 ~1988
21129299422585998 ~1988
211293432112934319 ~1990
211297491690379939 ~1990
21130079422601598 ~1988
211306011267836079 ~1989
211308011267848079 ~1989
211315071690520579 ~1990
211320771690566179 ~1990
21132119422642398 ~1988
21132131422642638 ~1988
21132311422646238 ~1988
21132491422649838 ~1988
21132659422653198 ~1988
211327571267965439 ~1989
211334336340029919 ~1991
21133559422671198 ~1988
21133631422672638 ~1988
21134903422698078 ~1988
21135143422702878 ~1988
21135791422715838 ~1988
211361271690890179 ~1990
21136211422724238 ~1988
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