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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
899212667719370133710 ~2002
899241923179848384710 ~2001
899289491179857898310 ~2001
899386331179877266310 ~2001
899421619899421619110 ~2003
8994232972158615912911 ~2004
899439923179887984710 ~2001
899466371179893274310 ~2001
899468651179893730310 ~2001
899513221539707932710 ~2002
899513243179902648710 ~2001
8995211771439233883311 ~2003
899530259179906051910 ~2001
899565143179913028710 ~2001
899596751179919350310 ~2001
899602813539761687910 ~2002
899616983179923396710 ~2001
899637803179927560710 ~2001
899666291179933258310 ~2001
899666483179933296710 ~2001
899667479179933495910 ~2001
899722319179944463910 ~2001
899790653539874391910 ~2002
899800523179960104710 ~2001
899845201539907120710 ~2002
Exponent Prime Factor Digits Year
899846903179969380710 ~2001
899890807899890807110 ~2003
899901181539940708710 ~2002
8999770371259967851911 ~2003
900019973540011983910 ~2002
900104339180020867910 ~2001
900108743180021748710 ~2001
900119161540071496710 ~2002
900121283180024256710 ~2001
9001686311440269809711 ~2003
900176339180035267910 ~2001
900177959180035591910 ~2001
900213263180042652710 ~2001
900247031180049406310 ~2001
900265403180053080710 ~2001
900288071180057614310 ~2001
900322079180064415910 ~2001
900366983180073396710 ~2001
900387443180077488710 ~2001
900415031180083006310 ~2001
900421079180084215910 ~2001
900430697720344557710 ~2002
900438551180087710310 ~2001
900484943180096988710 ~2001
900500543180100108710 ~2001
Exponent Prime Factor Digits Year
900546863180109372710 ~2001
900558293540334975910 ~2002
900561419180112283910 ~2001
900640571180128114310 ~2001
900641783180128356710 ~2001
900651599180130319910 ~2001
900661453540396871910 ~2002
900704159180140831910 ~2001
900785651720628520910 ~2002
900812879180162575910 ~2001
900850631180170126310 ~2001
900860483180172096710 ~2001
900875141540525084710 ~2002
900887051180177410310 ~2001
900942157540565294310 ~2002
900945299180189059910 ~2001
900948757540569254310 ~2002
900959723180191944710 ~2001
900984659180196931910 ~2001
901000403180200080710 ~2001
901011731180202346310 ~2001
901036121540621672710 ~2002
901054433540632659910 ~2002
9010640812883405059311 ~2004
901068023180213604710 ~2001
Exponent Prime Factor Digits Year
901078331180215666310 ~2001
901085123180217024710 ~2001
901109459720887567310 ~2002
9011730292883753692911 ~2004
901180271180236054310 ~2001
901192441540715464710 ~2002
901213559180242711910 ~2001
901258223180251644710 ~2001
901268111180253622310 ~2001
9012742871622293716711 ~2003
901277171180255434310 ~2001
901292081721033664910 ~2002
901298423180259684710 ~2001
901305103901305103110 ~2003
901330931180266186310 ~2001
901344817540806890310 ~2002
901359083180271816710 ~2001
901371323180274264710 ~2001
901403579180280715910 ~2001
901439663180287932710 ~2001
901472399180294479910 ~2001
901477991180295598310 ~2001
901509431180301886310 ~2001
901513031180302606310 ~2001
901566779180313355910 ~2001
3519
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25-07-08