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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
898408583179681716710 ~2001
898411499179682299910 ~2001
898451171179690234310 ~2001
898459319179691863910 ~2001
898496723179699344710 ~2001
898501199179700239910 ~2001
898507679179701535910 ~2001
898511297539106778310 ~2002
898530791179706158310 ~2001
898562579179712515910 ~2001
898605083179721016710 ~2001
898637161539182296710 ~2002
898653083179730616710 ~2001
898674013539204407910 ~2002
898682831179736566310 ~2001
898707791179741558310 ~2001
898713131179742626310 ~2001
898727663179745532710 ~2001
8987518911617753403911 ~2003
898763039179752607910 ~2001
898766881539260128710 ~2002
8987930833595172332111 ~2004
898800239179760047910 ~2001
898831943179766388710 ~2001
898837463179767492710 ~2001
Exponent Prime Factor Digits Year
898844123179768824710 ~2001
898851341719081072910 ~2002
898860311179772062310 ~2001
898878971719103176910 ~2002
898884971719107976910 ~2002
898894079179778815910 ~2001
898940771179788154310 ~2001
898941299179788259910 ~2001
898967411179793482310 ~2001
899016539179803307910 ~2001
899059379179811875910 ~2001
899071451179814290310 ~2001
8990857871438537259311 ~2003
899149871179829974310 ~2001
899173703179834740710 ~2001
899175671179835134310 ~2001
899211563179842312710 ~2001
899212667719370133710 ~2002
899241923179848384710 ~2001
899289491179857898310 ~2001
899386331179877266310 ~2001
899421619899421619110 ~2003
8994232972158615912911 ~2004
899439923179887984710 ~2001
899466371179893274310 ~2001
Exponent Prime Factor Digits Year
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
899800523179960104710 ~2001
899845201539907120710 ~2002
899846903179969380710 ~2001
899890807899890807110 ~2003
899901181539940708710 ~2002
8999770371259967851911 ~2003
900019973540011983910 ~2002
900104339180020867910 ~2001
900108743180021748710 ~2001
900119161540071496710 ~2002
900121283180024256710 ~2001
Exponent Prime Factor Digits Year
9001686311440269809711 ~2003
900176339180035267910 ~2001
900177959180035591910 ~2001
900247031180049406310 ~2001
900265403180053080710 ~2001
900288071180057614310 ~2001
900322079180064415910 ~2001
900366983180073396710 ~2001
900387443180077488710 ~2001
900421079180084215910 ~2001
900430697720344557710 ~2002
900438551180087710310 ~2001
900484943180096988710 ~2001
900500543180100108710 ~2001
900546863180109372710 ~2001
900558293540334975910 ~2002
900561419180112283910 ~2001
900640571180128114310 ~2001
900641783180128356710 ~2001
900651599180130319910 ~2001
900661453540396871910 ~2002
900704159180140831910 ~2001
900785651720628520910 ~2002
900812879180162575910 ~2001
900850631180170126310 ~2001
3441
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25-05-04