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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
85929232234159999 ~1988
8593103171862078 ~1985
8593159859315918 ~1987
8593597515615838 ~1986
8593631171872638 ~1985
8593813515628798 ~1986
8593841515630478 ~1986
8593943171878878 ~1985
8593979171879598 ~1985
8594017515641038 ~1986
85944071546993279 ~1988
85945078250726739 ~1989
8594699171893998 ~1985
8594917515695038 ~1986
85949231375187699 ~1987
8595017687601378 ~1987
8595143171902878 ~1985
8595577515734638 ~1986
8595623171912478 ~1985
8595683171913678 ~1985
8595817515749038 ~1986
85960971203453599 ~1987
8596157687692578 ~1987
8596187687694978 ~1987
85964092063138179 ~1988
Exp. Prime Factor Digits Year
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
8598119687849538 ~1987
8598361515901678 ~1986
8598613515916798 ~1986
8598899171977998 ~1985
8599319687945538 ~1987
85993192063836579
8599823171996478 ~1985
86000231376003699 ~1987
8600219172004398 ~1985
8600411172008238 ~1985
8600461204690971910 ~1990
8600519172010398 ~1985
Exp. Prime Factor Digits Year
86009231376147699 ~1987
8601209688096738 ~1987
8601401688112098 ~1987
8601557516093438 ~1986
86016671376266739 ~1987
8601683172033678 ~1985
8601727860172718 ~1987
8601947688155778 ~1987
8602001688160098 ~1987
8602157688172578 ~1987
8602313516138798 ~1986
8602787688222978 ~1987
86030874129481779 ~1989
8603099172061998 ~1985
86031671376506739 ~1987
8603381516202878 ~1986
8603429688274338 ~1987
86035091892771999 ~1988
8603521516211278 ~1986
8603603172072078 ~1985
8603663172073278 ~1985
86036818259533779 ~1989
8603681259831166310
8603711172074238 ~1985
8603839860383918 ~1987
Exp. Prime Factor Digits Year
86038931892856479 ~1988
8604203172084078 ~1985
8604307860430718 ~1987
8604509688360738 ~1987
860459320725022699912 ~1995
8604767688381378 ~1987
8605061516303678 ~1986
86052972065271299 ~1988
8605361688428898 ~1987
8605433516325998 ~1986
86056911549024399 ~1988
86057339466306319 ~1989
8605823172116478 ~1985
86059136884730419 ~1989
8606293516377598 ~1986
8606693516401598 ~1986
8606797516407838 ~1986
8606963172139278 ~1985
8607281688582498 ~1987
86073071549315279 ~1988
8607383172147678 ~1985
8607587688606978 ~1987
8607637516458238 ~1986
8607821688625698 ~1987
8608079172161598 ~1985
991
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26-08-02