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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.
Exp. Prime Factor Digits Year
2855429228434338 ~1983
28554312055910339 ~1985
285545957109197 ~1981
2855483913754578 ~1984
2855591228447298 ~1983
2855617171337038 ~1983
2855707514027278 ~1984
2855731285573118 ~1983
285608357121677 ~1981
2856241171374478 ~1983
2856241628373038
2856377171382638 ~1983
2856449228515938 ~1983
285680357136077 ~1981
2856803685632738
2856857171411438 ~1983
2856871285687118 ~1983
2856883285688318 ~1983
285692357138477 ~1981
28569232571230719
2857061228564898 ~1983
2857073399990238 ~1983
2857079228566338 ~1983
2857159514288638 ~1984
2857219285721918 ~1983
Exp. Prime Factor Digits Year
285725957145197 ~1981
2857403130297576910 ~1987
28574534971968239 ~1986
2857493400049038 ~1983
285751157150237 ~1981
2857531285753118 ~1983
2857559166881445710 ~1987
2857661171459678 ~1983
285776357155277 ~1981
28578671371776179 ~1985
2857913400107838 ~1983
285793157158637 ~1981
2857951285795118 ~1983
2858041171482478 ~1983
285818357163677 ~1981
2858221628808638 ~1984
285842357168477 ~1981
2858503285850318 ~1983
2858503457360498
285865157173037 ~1981
285869957173997 ~1981
28588276460949039 ~1986
2858833171529998 ~1983
2858981171538878 ~1983
2859047743352238 ~1984
Exp. Prime Factor Digits Year
2859121171547278 ~1983
28591214288681519
2859133171547998 ~1983
2859163686199138 ~1984
2859341228747298 ~1983
285949157189837 ~1981
28596736863215219 ~1987
285980357196077 ~1981
2859847457575538 ~1984
2859949686387778 ~1984
285997157199437 ~1981
2860021171601278 ~1983
286004357200877 ~1981
2860103743626798 ~1984
2860177457628338 ~1984
28601772745769939
286022357204477 ~1981
286027157205437 ~1981
2860337686480898 ~1984
28603371086928079
2860411514873998 ~1984
286049957209997 ~1981
286052357210477 ~1981
2860577171634638 ~1983
2860633171637998 ~1983
Exp. Prime Factor Digits Year
2860657171639438 ~1983
286088357217677 ~1981
2861059286105918 ~1983
2861251286125118 ~1983
2861317686716098 ~1984
28613175436502319
28613635493816979 ~1986
286139957227997 ~1981
286147157229437 ~1981
28614831602430499 ~1985
286171157234237 ~1981
2861767686824098 ~1984
2861801228944098 ~1983
2861851457896178 ~1984
2861909400667278 ~1984
2861917171715038 ~1983
2861927135655339910 ~1987
286201157240237 ~1981
2862113171726798 ~1983
2862163286216318 ~1983
2862367515226078 ~1984
28624691545733279 ~1985
2862569400759678 ~1984
2862593400763038 ~1984
286307957261597 ~1981
500
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26-05-03