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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
1338898343267779668710 ~2002
1339020131267804026310 ~2002
1339031483267806296710 ~2002
13391206932142593108911 ~2004
133915591921426494704112 ~2007
1339214483267842896710 ~2002
13392376311071390104911 ~2004
1339254671267850934310 ~2002
1339308023267861604710 ~2002
1339404719267880943910 ~2002
1339421411267884282310 ~2002
1339461551267892310310 ~2002
1339469401803681640710 ~2003
1339485551267897110310 ~2002
1339497613803698567910 ~2003
1339561763267912352710 ~2002
1339613699267922739910 ~2002
133967737710449483540712 ~2006
1339677551267935510310 ~2002
1339696199267939239910 ~2002
1339787303267957460710 ~2002
1339795871267959174310 ~2002
1339797983267959596710 ~2002
13398271871339827187111 ~2004
1339870403267974080710 ~2002
Exponent Prime Factor Digits Year
13398844871339884487111 ~2004
1339919699267983939910 ~2002
1339944841803966904710 ~2003
1339947913803968747910 ~2003
1339957523267991504710 ~2002
1339959899267991979910 ~2002
1339977239267995447910 ~2002
1339983119267996623910 ~2002
1339992539267998507910 ~2002
1340051963268010392710 ~2002
1340090051268018010310 ~2002
1340098751268019750310 ~2002
1340244263268048852710 ~2002
1340281919268056383910 ~2002
1340340923268068184710 ~2002
13403656991340365699111 ~2004
1340374859268074971910 ~2002
13404066311340406631111 ~2004
1340417473804250483910 ~2003
1340459531268091906310 ~2002
1340466191268093238310 ~2002
13404728511072378280911 ~2004
13404820611072385648911 ~2004
1340499701804299820710 ~2003
1340517863268103572710 ~2002
Exponent Prime Factor Digits Year
13405186911072414952911 ~2004
1340571971268114394310 ~2002
1340684531268136906310 ~2002
1340694923268138984710 ~2002
1340710439268142087910 ~2002
1340734691268146938310 ~2002
1340746079268149215910 ~2002
134077070910458011530312 ~2006
13407884295363153716111 ~2005
1340830763268166152710 ~2002
1340836103268167220710 ~2002
1340895971268179194310 ~2002
13409520771072761661711 ~2004
1340991779268198355910 ~2002
1340999531268199906310 ~2002
1341001631268200326310 ~2002
1341054059268210811910 ~2002
1341077483268215496710 ~2002
1341153557804692134310 ~2003
1341167123268233424710 ~2002
1341231623268246324710 ~2002
1341266159268253231910 ~2002
1341276857804766114310 ~2003
1341283763268256752710 ~2002
13412844012146055041711 ~2004
Exponent Prime Factor Digits Year
13412913974023874191111 ~2005
1341305279268261055910 ~2002
1341322481804793488710 ~2003
13413845571073107645711 ~2004
134138858342119601506312 ~2008
1341411133804846679910 ~2003
1341457391268291478310 ~2002
1341489781804893868710 ~2003
1341538481804923088710 ~2003
1341544277804926566310 ~2003
13415574439659213589711 ~2006
1341557579268311515910 ~2002
1341584999268316999910 ~2002
1341750251268350050310 ~2002
13417561311073404904911 ~2004
13417573031341757303111 ~2004
1341763883268352776710 ~2002
1341767579268353515910 ~2002
13417748571073419885711 ~2004
1341784523268356904710 ~2002
1341793679268358735910 ~2002
1341831083268366216710 ~2002
1341837131268367426310 ~2002
1341914471268382894310 ~2002
1341941963268388392710 ~2002
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25-05-04