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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
8732261523935678 ~1986
8732351698588098 ~1987
8732489698599138 ~1987
8732653523959198 ~1986
8732819174656398 ~1985
8732819698625538
8732879174657598 ~1985
8733083174661678 ~1985
8733251174665038 ~1985
87332593493303619 ~1988
8733541524012478 ~1986
87335477685521379 ~1989
8733551174671038 ~1985
8733743174674878 ~1985
8733839174676798 ~1985
8734223174684478 ~1985
8734841524090478 ~1986
8734919174698398 ~1985
87353412620602319 ~1988
8735429698834338 ~1987
8735621524137278 ~1986
8735711174714238 ~1985
8735849698867938 ~1987
8736179174723598 ~1985
8736263174725278 ~1985
Exp. Prime Factor Digits Year
8736659174733198 ~1985
8736719174734398 ~1985
8737139174742798 ~1985
8737271174745438 ~1985
8737357524241438 ~1986
8737483873748318 ~1987
8737763174755278 ~1985
8737829699026338 ~1987
8737979174759598 ~1985
87380332796170579 ~1988
8738231174764638 ~1985
8738351174767038 ~1985
8738363174767278 ~1985
8738377524302638 ~1986
8738591174771838 ~1985
8738711174774238 ~1985
8738759174775198 ~1985
8738783174775678 ~1985
87388433670314079 ~1988
8738957524337438 ~1986
8738963174779278 ~1985
8739001524340078 ~1986
8739023174780478 ~1985
8739119174782398 ~1985
8739299174785998 ~1985
Exp. Prime Factor Digits Year
8739431174788638 ~1985
8739431699154498
8739749699179938 ~1987
8739803174796078 ~1985
87398771398380339 ~1987
8739953524397198 ~1986
8740037699202978 ~1987
8740163174803278 ~1985
8740531197536000710 ~1990
8740541524432478 ~1986
8740681524440878 ~1986
8740727125866468910 ~1990
8740859174817198 ~1985
8740871174817438 ~1985
8740993524459598 ~1986
8741141699291298 ~1987
8741303174826078 ~1985
8741699174833998 ~1985
8741801524508078 ~1986
8741861524511678 ~1986
8742103307722025710 ~1991
8742551174851038 ~1985
8742577524554638 ~1986
8742787874278718 ~1987
8743019174860398 ~1985
Exp. Prime Factor Digits Year
8743037524582238 ~1986
8743037699442978
8743043174860878 ~1985
8743213524592798 ~1986
87435471573838479 ~1988
8743571699485698 ~1987
8743583174871678 ~1985
8743589699487138 ~1987
87436334721561839 ~1989
8743681524620878 ~1986
8743817699505378 ~1987
8743991174879838 ~1985
8744033524641998 ~1986
8744447699555778 ~1987
8744513104934156110 ~1990
8744707874470718 ~1987
8744831174896638 ~1985
8744903174898078 ~1985
8745557699644578 ~1987
8745749699659938 ~1987
87458271574248879 ~1988
8745929699674338 ~1987
8746037524762238 ~1986
8746093524765598 ~1986
8746301524778078 ~1986
1010
GIMPS The Prime Pages FactorDb.com
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26-10-25