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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
7872353472341198 ~1986
7872437472346238 ~1986
7872443157448878 ~1985
7872637472358238 ~1986
7872793472367598 ~1986
7872803157456078 ~1985
7873157629852578 ~1986
7873223157464478 ~1985
7873477472408638 ~1986
78735071259761139 ~1987
7873511157470238 ~1985
7873559157471198 ~1985
7873753472425198 ~1986
7874039157480798 ~1985
78740711259851379 ~1987
7874129629930338 ~1986
7874467787446718 ~1987
7874627629970178 ~1986
78751931732542479 ~1987
7875299630023938 ~1986
78753891102554479 ~1987
7875551157511038 ~1985
7875697472541838 ~1986
7876103157522078 ~1985
7876343157526878 ~1985
Exp. Prime Factor Digits Year
7876433472585998 ~1986
7876471787647118 ~1987
7876753472605198 ~1986
7876937472616238 ~1986
7876997472619838 ~1986
7877099157541998 ~1985
78772911417912399 ~1987
7877669630213538 ~1986
7877711157554238 ~1985
7877777472666638 ~1986
7877819157556398 ~1985
7877843157556878 ~1985
7877939157558798 ~1985
7877981472678878 ~1986
7878023157560478 ~1985
78780431890730339 ~1987
7878163787816318 ~1987
7878197630255778 ~1986
7878239157564798 ~1985
7878313472698798 ~1986
7878313113447707310
7878323157566478 ~1985
7878551630284098 ~1986
78785691102999679 ~1987
7878797630303778 ~1986
Exp. Prime Factor Digits Year
7878841553094638310 ~1991
7879199157583998 ~1985
7879321472759278 ~1986
78793691891048579 ~1987
7879379157587598 ~1985
7879477472768638 ~1986
7879799157595998 ~1985
7880009630400738 ~1986
7880123157602478 ~1985
7880261472815678 ~1986
7880531157610638 ~1985
7880771630461698 ~1986
7880777472846638 ~1986
7880903157618078 ~1985
7881059157621198 ~1985
7881059630484738
7881221630497698 ~1986
78813171103384399 ~1987
7881329630506338 ~1986
7881911157638238 ~1985
7881959157639198 ~1985
7882003788200318 ~1987
78822111418797999 ~1987
7882309113505249710 ~1989
7882367241200430310 ~1990
Exp. Prime Factor Digits Year
7882697630615778 ~1986
7882733472963998 ~1986
78827331103582639
7882991157659838 ~1985
7883047113515876910 ~1989
7883159157663198 ~1985
7883303157666078 ~1985
7883333472999998 ~1986
7883341473000478 ~1986
78835073784083379 ~1988
7883717473023038 ~1986
78838198199171779 ~1989
78838391892121379 ~1987
7884119157682398 ~1985
7884683157693678 ~1985
7884871788487118 ~1987
7885453473127198 ~1986
7885511157710238 ~1985
7885523157710478 ~1985
7885901473154078 ~1986
7886111630888898 ~1986
7886639157732798 ~1985
7886687630934978 ~1986
7886693473201598 ~1986
7886699630935938 ~1986
888
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25-05-04