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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
8580037514802238 ~1986
8580251171605038 ~1985
8580431171608638 ~1985
8580479171609598 ~1985
8580527686442178 ~1987
8580617514837038 ~1986
8580751858075118 ~1987
8580791171615838 ~1985
8580899171617998 ~1985
8580983171619678 ~1985
8581337514880238 ~1986
8581337686506978
85814291887914399 ~1988
8582891171657838 ~1985
8582921514975278 ~1986
8582963171659278 ~1985
8583073514984398 ~1986
8583203171664078 ~1985
8583361515001678 ~1986
8583923171678478 ~1985
8584151171683038 ~1985
8584679171693598 ~1985
85849872060396899 ~1988
8585039171700798 ~1985
8585513515130798 ~1986
Exp. Prime Factor Digits Year
85860134636447039 ~1989
8586121515167278 ~1986
8586239171724798 ~1985
8586323171726478 ~1985
8586443171728878 ~1985
85864811889025839 ~1988
8586497686919778 ~1987
8586661515199678 ~1986
8587123858712318 ~1987
8587693515261598 ~1986
8588539858853918 ~1987
8588903171778078 ~1985
8589011171780238 ~1985
8589613515376798 ~1986
8590073515404398 ~1986
8590199171803998 ~1985
8590391171807838 ~1985
8590537515432238 ~1986
8590553515433198 ~1986
8590733515443998 ~1986
85907831374525299 ~1987
8590811171816238 ~1985
85911131374578099 ~1987
8591183171823678 ~1985
8591327687306178 ~1987
Exp. Prime Factor Digits Year
8591483171829678 ~1985
8591507687320578 ~1987
85915072233791839
8592203171844078 ~1985
8592299171845998 ~1985
85923771202932799 ~1987
8592509687400738 ~1987
85925892577776719 ~1988
8592791171855838 ~1985
85929232234159999 ~1988
8593103171862078 ~1985
8593597515615838 ~1986
8593631171872638 ~1985
8593813515628798 ~1986
8593841515630478 ~1986
8593943171878878 ~1985
8593979171879598 ~1985
8594017515641038 ~1986
85944071546993279 ~1987
85945078250726739 ~1989
8594699171893998 ~1985
8594917515695038 ~1986
85949231375187699 ~1987
8595143171902878 ~1985
8595577515734638 ~1986
Exp. Prime Factor Digits Year
8595623171912478 ~1985
8595683171913678 ~1985
8595817515749038 ~1986
85964092063138179 ~1988
8596537515792238 ~1986
8596589687727138 ~1987
8597051171941038 ~1985
8597159171943198 ~1985
8597203859720318 ~1987
8597321515839278 ~1986
8597339687787138 ~1987
8597531171950638 ~1985
8597591171951838 ~1985
8597591687807298
8597993515879598 ~1986
8597999171959998 ~1985
8598071171961438 ~1985
8598361515901678 ~1986
8598613515916798 ~1986
8598899171977998 ~1985
8599319687945538 ~1987
85993192063836579
8599823171996478 ~1985
8600219172004398 ~1985
8600411172008238 ~1985
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25-07-08