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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
2254677834509355679 ~1996
225475589180380471310 ~1998
225479203360766724910 ~1998
2254891914509783839 ~1996
2254998714509997439 ~1996
2255037834510075679 ~1996
225523877180419101710 ~1998
2255280594510561199 ~1996
225531749180425399310 ~1998
2255364114510728239 ~1996
225538637135323182310 ~1997
225559177135335506310 ~1997
2255601714511203439 ~1996
225563759180451007310 ~1998
2255685234511370479 ~1996
2255714034511428079 ~1996
2255722794511445599 ~1996
2255854434511708879 ~1996
2255886594511773199 ~1996
2255900634511801279 ~1996
2255927994511855999 ~1996
225597397135358438310 ~1997
2256214194512428399 ~1996
2256243594512487199 ~1996
225647501135388500710 ~1997
Exponent Prime Factor Digits Year
225650393315910550310 ~1998
2256683514513367039 ~1996
2256698034513396079 ~1996
225683071225683071110 ~1998
225688871586791064710 ~1999
225698021180558416910 ~1998
2256988314513976639 ~1996
2256996112708395332111 ~2001
2257010394514020799 ~1996
2257090194514180399 ~1996
225709571180567656910 ~1998
225709573135425743910 ~1997
2257149714514299439 ~1996
225718793135431275910 ~1997
2257230834514461679 ~1996
225729617180583693710 ~1998
2257297194514594399 ~1996
2257305592212159478311 ~2000
2257373994514747999 ~1996
2257569594515139199 ~1996
2257806834515613679 ~1996
2257839234515678479 ~1996
225787027406416648710 ~1999
2257948194515896399 ~1996
2257958514515917039 ~1996
Exponent Prime Factor Digits Year
2257981194515962399 ~1996
2258014794516029599 ~1996
2258018391806414712111 ~2000
2258029194516058399 ~1996
2258050314516100639 ~1996
2258054034516108079 ~1996
2258290914516581839 ~1996
2258292114516584239 ~1996
2258300514516601039 ~1996
2258318634516637279 ~1996
2258360034516720079 ~1996
2258398434516796879 ~1996
2258496714516993439 ~1996
2258518194517036399 ~1996
2258543514517087039 ~1996
2258597034517194079 ~1996
225866177180692941710 ~1998
2258802114517604239 ~1996
2258989194517978399 ~1996
225908317135544990310 ~1997
225910873135546523910 ~1997
225911123542186695310 ~1999
225913739180730991310 ~1998
2259151434518302879 ~1996
225919927406655868710 ~1999
Exponent Prime Factor Digits Year
2259232794518465599 ~1996
2259317634518635279 ~1996
225939793135563875910 ~1997
2259417594518835199 ~1996
225944581135566748710 ~1997
2259710514519421039 ~1996
225973931180779144910 ~1998
225978941135587364710 ~1997
2259804594519609199 ~1996
2259925794519851599 ~1996
2259956394519912799 ~1996
2260033314520066639 ~1996
226005917180804733710 ~1998
226011217135606730310 ~1997
2260368234520736479 ~1996
2260454394520908799 ~1996
2260584714521169439 ~1996
226068559226068559110 ~1998
226068719180854975310 ~1998
2260696434521392879 ~1996
2260719714521439439 ~1996
226072481180857984910 ~1998
2260783794521567599 ~1996
2260945914521891839 ~1996
226095817135657490310 ~1997
2809
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25-04-13