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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
472655201283593120710 ~2000
4726636439453272879 ~1999
4726755234254079707111 ~2003
4726904519453809039 ~1999
4726986239453972479 ~1999
472702213283621327910 ~2000
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
Exponent Prime Factor Digits Year
472914577283748746310 ~2000
4729232999458465999 ~1999
472928353283757011910 ~2000
4729391519458783039 ~1999
4729458599458917199 ~1999
4729487399458974799 ~1999
472959713283775827910 ~2000
4729768799459537599 ~1999
4729788239459576479 ~1999
472982597378386077710 ~2000
4730234039460468079 ~1999
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
Exponent Prime Factor Digits Year
473172857283903714310 ~2000
473176853283906111910 ~2000
473178749662450248710 ~2001
4731788999463577999 ~1999
4731857999463715999 ~1999
4732040519464081039 ~1999
473205737283923442310 ~2000
4732063199464126399 ~1999
4732117319464234639 ~1999
473226839378581471310 ~2000
4732369319464738639 ~1999
4732535039465070079 ~1999
473262367473262367110 ~2000
473270117283962070310 ~2000
4732714439465428879 ~1999
4733039519466079039 ~1999
4733081519466163039 ~1999
473314109662639752710 ~2001
4733309999466619999 ~1999
473331791378665432910 ~2000
473333129662666380710 ~2001
4733390999466781999 ~1999
473351699378681359310 ~2000
4733821799467643599 ~1999
4733875439467750879 ~1999
Exponent Prime Factor Digits Year
4733926319467852639 ~1999
473393027378714421710 ~2000
4734054599468109199 ~1999
4734101039468202079 ~1999
4734144119468288239 ~1999
4734320519468641039 ~1999
473451827378761461710 ~2000
473466883473466883110 ~2000
473468057284080834310 ~2000
473472113284083267910 ~2000
473477041284086224710 ~2000
4734798239469596479 ~1999
473486539473486539110 ~2000
473492323473492323110 ~2000
4734974399469948799 ~1999
4735054199470108399 ~1999
4735062599470125199 ~1999
4735335839470671679 ~1999
4735440839470881679 ~1999
4735665599471331199 ~1999
4735847639471695279 ~1999
4735859519471719039 ~1999
4735984919471969839 ~1999
4736019839472039679 ~1999
4736222519472445039 ~1999
3444
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26-01-11