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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
472510013283506007910 ~2000
4725116399450232799 ~1999
4725144599450289199 ~1999
4725222891512071324911 ~2002
472535159378028127310 ~2000
472545137378036109710 ~2000
4725472199450944399 ~1999
4725660239451320479 ~1999
4725735119451470239 ~1999
4725847311984855870311 ~2002
4725892319451784639 ~1999
4726088039452176079 ~1999
4726092839452185679 ~1999
4726109519452219039 ~1999
4726353239452706479 ~1999
4726402431134336583311 ~2001
4726412039452824079 ~1999
4726435439452870879 ~1999
4726539531417961859111 ~2002
472655201283593120710 ~2000
4726636439453272879 ~1999
4726755234254079707111 ~2003
4726904519453809039 ~1999
4726986239453972479 ~1999
472702213283621327910 ~2000
Exponent Prime Factor Digits Year
472718413283631047910 ~2000
4727402399454804799 ~1999
472746433283647859910 ~2000
4727511719455023439 ~1999
4727641799455283599 ~1999
4727870096808132929711 ~2003
4727906031134697447311 ~2001
472812941283687764710 ~2000
472813997378251197710 ~2000
472817393661944350310 ~2001
4728179639456359279 ~1999
472824197283694518310 ~2000
4728765719457531439 ~1999
47287846711727385981712 ~2004
472879861283727916710 ~2000
4728819312269833268911 ~2002
4728911039457822079 ~1999
4728913439457826879 ~1999
4729028039458056079 ~1999
472914577283748746310 ~2000
4729232999458465999 ~1999
472928353283757011910 ~2000
4729391519458783039 ~1999
4729458599458917199 ~1999
4729487399458974799 ~1999
Exponent Prime Factor Digits Year
472959713283775827910 ~2000
4729768799459537599 ~1999
4729788239459576479 ~1999
472982597378386077710 ~2000
4730242919460485839 ~1999
4730269439460538879 ~1999
4730272319460544639 ~1999
473044279851479702310 ~2001
4730468639460937279 ~1999
4730573639461147279 ~1999
4730890919461781839 ~1999
4731093911987059442311 ~2002
473137037283882222310 ~2000
473139269378511415310 ~2000
473153117283891870310 ~2000
4731606839463213679 ~1999
4731615239463230479 ~1999
4731707399463414799 ~1999
473172857283903714310 ~2000
473176853283906111910 ~2000
473178749662450248710 ~2001
4731788999463577999 ~1999
4731857999463715999 ~1999
473205737283923442310 ~2000
4732063199464126399 ~1999
Exponent Prime Factor Digits Year
4732117319464234639 ~1999
473226839378581471310 ~2000
4732369319464738639 ~1999
4732535039465070079 ~1999
473262367473262367110 ~2000
473270117283962070310 ~2000
4732714439465428879 ~1999
4733081519466163039 ~1999
473314109662639752710 ~2001
4733309999466619999 ~1999
473331791378665432910 ~2000
473333129662666380710 ~2001
4733390999466781999 ~1999
4733821799467643599 ~1999
4733875439467750879 ~1999
4733926319467852639 ~1999
473393027378714421710 ~2000
4734054599468109199 ~1999
4734101039468202079 ~1999
4734144119468288239 ~1999
4734320519468641039 ~1999
473451827378761461710 ~2000
473466883473466883110 ~2000
473468057284080834310 ~2000
473472113284083267910 ~2000
3368
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25-11-02