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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
3402727943680545588710 ~2005
3402742919680548583910 ~2005
3402815639680563127910 ~2005
3402901319680580263910 ~2005
34029465172041767910311 ~2007
3403024739680604947910 ~2005
3403214183680642836710 ~2005
3403421639680684327910 ~2005
3403463831680692766310 ~2005
340377172929953191215312 ~2009
34037793412042267604711 ~2007
34038359235446137476911 ~2008
3403888619680777723910 ~2005
34041419412042485164711 ~2007
3404217059680843411910 ~2005
34042186132042531167911 ~2007
34042386532042543191911 ~2007
3404298083680859616710 ~2005
34044130972723530477711 ~2007
340443421356513607935912 ~2010
340466804918385207464712 ~2009
3404677103680935420710 ~2005
3404702111680940422310 ~2005
34048312316128696215911 ~2008
34048390212042903412711 ~2007
Exponent Prime Factor Digits Year
3404930999680986199910 ~2005
3404956211680991242310 ~2005
340505962738817679747912 ~2010
34053015172043180910311 ~2007
3405503999681100799910 ~2005
34057043876130267896711 ~2008
3405786959681157391910 ~2005
3405813623681162724710 ~2005
3405821759681164351910 ~2005
3405835271681167054310 ~2005
3405864659681172931910 ~2005
34058914732043534883911 ~2007
3405892043681178408710 ~2005
34060653913406065391111 ~2007
3406334279681266855910 ~2005
3406484171681296834310 ~2005
3406561811681312362310 ~2005
3406645559681329111910 ~2005
3406960079681392015910 ~2005
34069779073406977907111 ~2007
3407203031681440606310 ~2005
3407245703681449140710 ~2005
3407327543681465508710 ~2005
34073806332044428379911 ~2007
3407435231681487046310 ~2005
Exponent Prime Factor Digits Year
3407494763681498952710 ~2005
3407634383681526876710 ~2005
3407692103681538420710 ~2005
3407798183681559636710 ~2005
34079135772044748146311 ~2007
3407960903681592180710 ~2005
3408027851681605570310 ~2005
3408053651681610730310 ~2005
3408317543681663508710 ~2005
34085549532045132971911 ~2007
34086070912726885672911 ~2007
3408609551681721910310 ~2005
34086104172045166250311 ~2007
340893800314317539612712 ~2009
3408955559681791111910 ~2005
34091640015454662401711 ~2008
3409442891681888578310 ~2005
3409807391681961478310 ~2005
34098728212727898256911 ~2007
3409951199681990239910 ~2005
3410059391682011878310 ~2005
3410085911682017182310 ~2005
3410169683682033936710 ~2005
34103009412046180564711 ~2007
3410329343682065868710 ~2005
Exponent Prime Factor Digits Year
3410467199682093439910 ~2005
3410510651682102130310 ~2005
34106112412046366744711 ~2007
34106154012046369240711 ~2007
34106265172046375910311 ~2007
3410635979682127195910 ~2005
3410723171682144634310 ~2005
34108613412046516804711 ~2007
34108818675457410987311 ~2008
34109035012728722800911 ~2007
34110388937504285564711 ~2008
3411055079682211015910 ~2005
3411226319682245263910 ~2005
3411399419682279883910 ~2005
34115597212729247776911 ~2007
3411580379682316075910 ~2005
3411674543682334908710 ~2005
3411677519682335503910 ~2005
3411723131682344626310 ~2005
3411759803682351960710 ~2005
3411792119682358423910 ~2005
3411921011682384202310 ~2005
34121703737506774820711 ~2008
3412274231682454846310 ~2005
3412425143682485028710 ~2005
4397
GIMPS The Prime Pages FactorDb.com
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26-03-15