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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
298458491238766792910 ~1999
298473541656641790310 ~2000
298477757179086654310 ~1998
2984788795969577599 ~1997
298480681179088408710 ~1998
298485457716365096910 ~2000
2984880595969761199 ~1997
2984921635969843279 ~1997
2984948035969896079 ~1997
2984950315969900639 ~1997
298504433179102659910 ~1998
2985137035970274079 ~1997
2985161872388129496111 ~2001
2985170995970341999 ~1997
2985301315970602639 ~1997
2985362635970725279 ~1997
2985413395970826799 ~1997
298542931298542931110 ~1999
298556597238845277710 ~1999
2985627835971255679 ~1997
2985649195971298399 ~1997
298569301179141580710 ~1998
2985703195971406399 ~1997
298570967537427740710 ~2000
298575929238860743310 ~1999
Exponent Prime Factor Digits Year
2985772915971545839 ~1997
2985870115971740239 ~1997
2985876235971752479 ~1997
2985883435971766879 ~1997
2985889195971778399 ~1997
2985949315971898639 ~1997
2986042315972084639 ~1997
2986096915972193839 ~1997
2986139995972279999 ~1997
2986153915972307839 ~1997
2986205031672274816911 ~2001
2986298395972596799 ~1997
2986304395972608799 ~1997
2986323595972647199 ~1997
298642537179185522310 ~1998
2986615915973231839 ~1997
2986682035973364079 ~1997
298679939238943951310 ~1999
2986957315973914639 ~1997
2986960195973920399 ~1997
2986997995973995999 ~1997
298711123477937796910 ~1999
2987134795974269599 ~1997
298715369238972295310 ~1999
2987212435974424879 ~1997
Exponent Prime Factor Digits Year
298732697238986157710 ~1999
2987395315974790639 ~1997
2987447395974894799 ~1997
298747717179248630310 ~1998
298749259537748666310 ~2000
2987527915975055839 ~1997
298755307298755307110 ~1999
2987555995975111999 ~1997
2987575315975150639 ~1997
298768037239014429710 ~1999
2987687035975374079 ~1997
2987706235975412479 ~1997
2987982115975964239 ~1997
2988069715976139439 ~1997
2988190195976380399 ~1997
2988190435976380879 ~1997
298819337239055469710 ~1999
298830269717192645710 ~2000
29883107910100490470312 ~2003
2988312235976624479 ~1997
298834253179300551910 ~1998
298847249239077799310 ~1999
2988487795976975599 ~1997
2988489115976978239 ~1997
298873699298873699110 ~1999
Exponent Prime Factor Digits Year
2988776995977553999 ~1997
2988875515977751039 ~1997
2988933595977867199 ~1997
2988959515977919039 ~1997
2988983995977967999 ~1997
2989026835978053679 ~1997
2989057795978115599 ~1997
2989083715978167439 ~1997
298908431239126744910 ~1999
2989101595978203199 ~1997
2989216915978433839 ~1997
2989247995978495999 ~1997
298926799717424317710 ~2000
2989270915978541839 ~1997
298927429657640343910 ~2000
2989363315978726639 ~1997
298938539239150831310 ~1999
2989488235978976479 ~1997
2989489315978978639 ~1997
2989699435979398879 ~1997
2989715515979431039 ~1997
2989744915979489839 ~1997
298978709239182967310 ~1999
2989790995979581999 ~1997
2989834915979669839 ~1997
2963
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25-05-04