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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
8600461204690971910 ~1990
8600519172010398 ~1985
86009231376147699 ~1987
8601401688112098 ~1987
8601557516093438 ~1986
86016671376266739 ~1987
8601683172033678 ~1985
8601727860172718 ~1987
8602001688160098 ~1987
8602157688172578 ~1987
8602313516138798 ~1986
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
86038931892856479 ~1988
Exp. Prime Factor Digits Year
8604203172084078 ~1985
8604307860430718 ~1987
8604509688360738 ~1987
860459320725022699912 ~1995
8605061516303678 ~1986
86052972065271299 ~1988
8605361688428898 ~1987
8605433516325998 ~1986
86057339466306319 ~1989
8605823172116478 ~1985
86059136884730419 ~1989
8606293516377598 ~1986
8606693516401598 ~1986
8606797516407838 ~1986
8606963172139278 ~1985
8607281688582498 ~1987
86073071549315279 ~1987
8607383172147678 ~1985
8607637516458238 ~1986
8607821688625698 ~1987
8608079172161598 ~1985
86081332754602579 ~1988
8608163172163278 ~1985
8608571172171438 ~1985
8608571146345707110
Exp. Prime Factor Digits Year
8608673516520398 ~1986
8608861516531678 ~1986
8608973516538398 ~1986
8609617516577038 ~1986
86096771377548339 ~1987
8609819172196398 ~1985
8610139861013918 ~1987
8610323172206478 ~1985
8610359172207198 ~1985
86103892755324499 ~1988
8610431688834498 ~1987
8610521688841698 ~1987
8610557688844578 ~1987
8610601516636078 ~1986
8610863172217278 ~1985
8611033211831411910 ~1990
8611283172225678 ~1985
8611349688907938 ~1987
8611703172234078 ~1985
8612221516733278 ~1986
8612399601145450310 ~1991
8612711172254238 ~1985
8613041516782478 ~1986
86131271378100339 ~1987
8613677516820638 ~1986
Exp. Prime Factor Digits Year
8613743172274878 ~1985
8613953516837198 ~1986
8614031172280638 ~1985
8614079689126338 ~1987
86140934651610239 ~1989
8614157516849438 ~1986
8614253516855198 ~1986
8614297516857838 ~1986
8614297170563080710
8614337689146978 ~1987
8614439172288798 ~1985
8614477516868638 ~1986
8614499172289998 ~1985
8614831861483118 ~1987
86148732584461919 ~1988
8614901689192098 ~1987
86151371378421939 ~1987
8615231172304638 ~1985
8615261516915678 ~1986
8615543172310878 ~1985
8615891172317838 ~1985
8616131172322638 ~1985
8616281689302498 ~1987
8616373516982398 ~1986
8616407689312578 ~1987
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25-07-08