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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
677948279135589655910 ~2000
677980777406788466310 ~2001
677988431135597686310 ~2000
677993279135598655910 ~2000
678033091678033091110 ~2002
678038891135607778310 ~2000
678048131135609626310 ~2000
678063691678063691110 ~2002
678115331135623066310 ~2000
678133931135626786310 ~2000
678136133406881679910 ~2001
678137051135627410310 ~2000
678148379135629675910 ~2000
678176423135635284710 ~2000
6781765392305800232711 ~2003
678338099135667619910 ~2000
678352217407011330310 ~2001
678366431135673286310 ~2000
678375617542700493710 ~2001
678379763135675952710 ~2000
6784241471085478635311 ~2002
678430583135686116710 ~2000
678447817407068690310 ~2001
678448559135689711910 ~2000
678454453407072671910 ~2001
Exponent Prime Factor Digits Year
678456071135691214310 ~2000
678459503135691900710 ~2000
678466331135693266310 ~2000
678482891135696578310 ~2000
678485063135697012710 ~2000
678497063135699412710 ~2000
678512099135702419910 ~2000
678551771135710354310 ~2000
678593941407156364710 ~2001
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
3366
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25-06-08