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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
516638491516638491110 ~2001
516639803103327960710 ~1999
516642323103328464710 ~1999
516643037413314429710 ~2001
516646103103329220710 ~1999
516657203103331440710 ~1999
516659443826655108910 ~2001
516666719103333343910 ~1999
516699923103339984710 ~1999
516714491103342898310 ~1999
516719783103343956710 ~1999
5167234811550170443111 ~2002
516738479103347695910 ~1999
516757387826811819310 ~2001
516769481413415584910 ~2001
516781679103356335910 ~1999
516791123103358224710 ~1999
51679331313126550150312 ~2004
516793493310076095910 ~2000
516796781310078068710 ~2000
516805403103361080710 ~1999
516808871103361774310 ~1999
516830819103366163910 ~1999
516831661310098996710 ~2000
516847691413478152910 ~2001
Exponent Prime Factor Digits Year
5168496071240439056911 ~2002
516909997310145998310 ~2000
516925463103385092710 ~1999
516932459103386491910 ~1999
5169334913411761040711 ~2003
516939443103387888710 ~1999
516942523827108036910 ~2001
5169431811550829543111 ~2002
516961799103392359910 ~1999
516962441310177464710 ~2000
516967261310180356710 ~2000
516980759103396151910 ~1999
516993371103398674310 ~1999
517004777413603821710 ~2001
517009421413607536910 ~2001
517023119103404623910 ~1999
517041419103408283910 ~1999
517071067930727920710 ~2001
517077817310246690310 ~2000
517083023103416604710 ~1999
517118351413694680910 ~2001
517123637413698909710 ~2001
517125239103425047910 ~1999
517136363103427272710 ~1999
517144091103428818310 ~1999
Exponent Prime Factor Digits Year
517146431103429286310 ~1999
517150717310290430310 ~2000
517169819103433963910 ~1999
517172651103434530310 ~1999
517176487827482379310 ~2001
517202663103440532710 ~1999
517235813310341487910 ~2000
517250411103450082310 ~1999
517251419103450283910 ~1999
517252277310351366310 ~2000
517267031103453406310 ~1999
517284401310370640710 ~2000
517294031103458806310 ~1999
517321391103464278310 ~1999
517335989413868791310 ~2001
517382531103476506310 ~1999
517383599103476719910 ~1999
517387991103477598310 ~1999
517395917310437550310 ~2000
517397123103479424710 ~1999
517409987413927989710 ~2001
517414537310448722310 ~2000
517417597310450558310 ~2000
517442279103488455910 ~1999
517442699103488539910 ~1999
Exponent Prime Factor Digits Year
517475531103495106310 ~1999
517484719517484719110 ~2001
517499639103499927910 ~1999
517500803103500160710 ~1999
517505699103501139910 ~1999
517507649414006119310 ~2001
517528283103505656710 ~1999
517538783103507756710 ~1999
517545239103509047910 ~1999
517550963103510192710 ~1999
517555931103511186310 ~1999
517558889414047111310 ~2001
517562741310537644710 ~2000
517570373310542223910 ~2000
517625567414100453710 ~2001
5176495492484717835311 ~2002
517660541310596324710 ~2000
517666091103533218310 ~1999
517691159103538231910 ~1999
5177001912174340802311 ~2002
517718819103543763910 ~1999
517738799414191039310 ~2001
517782263103556452710 ~1999
517803479103560695910 ~1999
517810451103562090310 ~1999
3279
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25-07-08