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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
678459503135691900710 ~2000
678466331135693266310 ~2000
678482891135696578310 ~2000
678485063135697012710 ~2000
678497063135699412710 ~2000
678512099135702419910 ~2000
678551771135710354310 ~2000
678593941407156364710 ~2001
678633899135726779910 ~2000
678650699135730139910 ~2000
678650783135730156710 ~2000
678656351135731270310 ~2000
6786583691628780085711 ~2003
678658679135731735910 ~2000
678663977407198386310 ~2001
678667919135733583910 ~2000
678688253407212951910 ~2001
678689411135737882310 ~2000
678704399135740879910 ~2000
678708479135741695910 ~2000
678708479542966783310
678716639135743327910 ~2000
678740399135748079910 ~2000
678750389950250544710 ~2002
678756371135751274310 ~2000
Exponent Prime Factor Digits Year
678761423135752284710 ~2000
678773351135754670310 ~2000
678844403135768880710 ~2000
678892031135778406310 ~2000
6789114131086258260911 ~2002
678947663135789532710 ~2000
678950243135790048710 ~2000
6789516414888451815311 ~2004
678966403678966403110 ~2002
679011023135802204710 ~2000
679075811135815162310 ~2000
679086059135817211910 ~2000
679098899543279119310 ~2001
679123031135824606310 ~2000
679134551135826910310 ~2000
679137959543310367310 ~2001
679144397950802155910 ~2002
679155599543324479310 ~2001
679167803135833560710 ~2000
679181423135836284710 ~2000
679181663135836332710 ~2000
679184351135836870310 ~2000
679196977407518186310 ~2001
679206551135841310310 ~2000
679238177543390541710 ~2001
Exponent Prime Factor Digits Year
679250003135850000710 ~2000
679250459135850091910 ~2000
679259051135851810310 ~2000
679265701407559420710 ~2001
6792678194890728296911 ~2004
679282559135856511910 ~2000
679299211679299211110 ~2002
679318163135863632710 ~2000
679324637407594782310 ~2001
679330643135866128710 ~2000
6793323072717329228111 ~2003
679335071135867014310 ~2000
679349243135869848710 ~2000
679352279135870455910 ~2000
679353011135870602310 ~2000
679359251135871850310 ~2000
679367411135873482310 ~2000
679367603135873520710 ~2000
679384571135876914310 ~2000
679387139135877427910 ~2000
679404059135880811910 ~2000
679420837407652502310 ~2001
679440383135888076710 ~2000
679456859135891371910 ~2000
679459439135891887910 ~2000
Exponent Prime Factor Digits Year
679462583135892516710 ~2000
679476431135895286310 ~2000
679501919135900383910 ~2000
679502399135900479910 ~2000
679521371135904274310 ~2000
679531283135906256710 ~2000
679576643135915328710 ~2000
679580963135916192710 ~2000
6795887692038766307111 ~2003
679619723135923944710 ~2000
679629683135925936710 ~2000
679659443135931888710 ~2000
679661579135932315910 ~2000
679663331543730664910 ~2001
679685291135937058310 ~2000
679687357407812414310 ~2001
679691063135938212710 ~2000
679702511135940502310 ~2000
679712953407827771910 ~2001
679776683135955336710 ~2000
679780103135956020710 ~2000
679795871135959174310 ~2000
679834439135966887910 ~2000
679860371135972074310 ~2000
679870573407922343910 ~2001
3399
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25-07-08