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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
477531521286518912710 ~2000
477532631859558735910 ~2001
4775379592005659427911 ~2002
4775397599550795199 ~1999
4775421132196693719911 ~2002
477547097286528258310 ~2000
4775640119551280239 ~1999
4775667239551334479 ~1999
477572659477572659110 ~2000
4775743439551486879 ~1999
4775770971146185032911 ~2001
4775866439551732879 ~1999
477589493286553695910 ~2000
4775908919551817839 ~1999
4775961239551922479 ~1999
477620791477620791110 ~2000
4776278519552557039 ~1999
4776500519553001039 ~1999
477650189382120151310 ~2000
477669041286601424710 ~2000
477677159382141727310 ~2000
4776909719553819439 ~1999
477703201286621920710 ~2000
4777255199554510399 ~1999
4777447799554895599 ~1999
Exponent Prime Factor Digits Year
4777544639555089279 ~1999
4777685039555370079 ~1999
47780915930675348007912 ~2005
4778113439556226879 ~1999
4778120639556241279 ~1999
4778164319556328639 ~1999
4778216519556433039 ~1999
4778482199556964399 ~1999
477849553764559284910 ~2001
4778503919557007839 ~1999
4778573519557147039 ~1999
4778607119557214239 ~1999
4778608199557216399 ~1999
4778901239557802479 ~1999
477913361286748016710 ~2000
4779309239558618479 ~1999
4779361434588186972911 ~2003
4779774119559548239 ~1999
477981121286788672710 ~2000
477991121286794672710 ~2000
4779968999559937999 ~1999
4780111199560222399 ~1999
478014133764822612910 ~2001
4780173119560346239 ~1999
4780364519560729039 ~1999
Exponent Prime Factor Digits Year
4780491119560982239 ~1999
4780588799561177599 ~1999
4780954199561908399 ~1999
4781037771147449064911 ~2001
4781116439562232879 ~1999
4781163719562327439 ~1999
4781309519562619039 ~1999
4781508372199493850311 ~2002
478172251478172251110 ~2000
478175549382540439310 ~2000
4781773731530167593711 ~2002
4781858999563717999 ~1999
4781939519563879039 ~1999
4782091919564183839 ~1999
4782162839564325679 ~1999
4782233519564467039 ~1999
4782287399564574799 ~1999
4782289319564578639 ~1999
4782323519564647039 ~1999
4782432119564864239 ~1999
478248833286949299910 ~2000
4782663599565327199 ~1999
478275257382620205710 ~2000
478279157286967494310 ~2000
4782805319565610639 ~1999
Exponent Prime Factor Digits Year
4782892919565785839 ~1999
478291061286974636710 ~2000
4782930839565861679 ~1999
4782993239565986479 ~1999
4783013039566026079 ~1999
4783031039566062079 ~1999
4783194599566389199 ~1999
4783227119566454239 ~1999
4783291919566583839 ~1999
478345801287007480710 ~2000
4783522799567045599 ~1999
4783567439567134879 ~1999
4783573319567146639 ~1999
4783622999567245999 ~1999
4783790039567580079 ~1999
4783830119567660239 ~1999
478402213287041327910 ~2000
478419211478419211110 ~2000
4784436119568872239 ~1999
478454213669835898310 ~2001
4784590319569180639 ~1999
4784910599569821199 ~1999
478493159382794527310 ~2000
4784943531435483059111 ~2002
478495817287097490310 ~2000
3150
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25-04-13