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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
27263293147221782310 ~1993
27264179545283598 ~1989
27264299545285998 ~1989
272643971635863839 ~1990
27264599545291998 ~1989
272646074362337139 ~1991
27265163545303278 ~1989
27265211545304238 ~1989
27265643545312878 ~1989
272659618725107539 ~1992
27266411545328238 ~1989
272664171635985039 ~1990
27266849147240984710 ~1993
27266951545339038 ~1989
27267083545341678 ~1989
27267503545350078 ~1989
272675171636051039 ~1990
272684637089800399 ~1992
27269939545398798 ~1989
272701371636208239 ~1990
272702514908645199 ~1991
272704733817866239 ~1991
27271463545429278 ~1989
27271823545436478 ~1989
27273203545464078 ~1989
Exponent Prime Factor Digits Year
27273299545465998 ~1989
27273359545467198 ~1989
27273539545470798 ~1989
27273563545471278 ~1989
272741896000321599 ~1992
27274391545487838 ~1989
272744331636465999 ~1990
27274763545495278 ~1989
27275219545504398 ~1989
27275411545508238 ~1989
272758938182767919 ~1992
27276059545521198 ~1989
27276071545521438 ~1989
27276479545529598 ~1989
27278351545567038 ~1989
27278579545571598 ~1989
27278831545576638 ~1989
27278903545578078 ~1989
272793771636762639 ~1990
27279503545590078 ~1989
272797317092730079 ~1992
272797372182378979 ~1991
27279743545594878 ~1989
27280091545601838 ~1989
27281003545620078 ~1989
Exponent Prime Factor Digits Year
27281383943935851910 ~1995
272821973819507599 ~1991
27282323545646478 ~1989
27283799545675998 ~1989
27284363545687278 ~1989
272845611637073679 ~1990
27284723545694478 ~1989
27284753169165468710 ~1993
27285743545714878 ~1989
27286019545720398 ~1989
27287003545740078 ~1989
27287171545743438 ~1989
27287399545747998 ~1989
272875731637254399 ~1990
27287723545754478 ~1989
272881391992034147111 ~1995
272883771637302639 ~1990
272886971637321839 ~1990
27288983545779678 ~1989
272900171637401039 ~1990
27291371545827438 ~1989
27291611545832238 ~1989
272916114912489999
27291779545835598 ~1989
272923131637538799 ~1990
Exponent Prime Factor Digits Year
27293093365727446310 ~1994
27293543545870878 ~1989
27293603545872078 ~1989
272939331637635999 ~1990
27293999545879998 ~1989
27294083545881678 ~1989
27294983545899678 ~1989
27295339174690169710 ~1993
27295511545910238 ~1989
27295679545913598 ~1989
27295739545914798 ~1989
27296051545921038 ~1989
27296579545931598 ~1989
27296903545938078 ~1989
272970011637820079 ~1990
272970131637820799 ~1990
27297191545943838 ~1989
272986334367781299 ~1991
272993811637962879 ~1990
27299423545988478 ~1989
273001211638007279 ~1990
27300263546005278 ~1989
27301091546021838 ~1989
27301199546023998 ~1989
273013578190407119 ~1992
1642
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25-04-13