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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
3061229428572078 ~1984
3061259244900738 ~1983
3061313183678798 ~1983
3061321489811378 ~1984
306137961227597 ~1982
306146361229277 ~1982
3061673183700398 ~1983
306193161238637 ~1982
3061931796102078
3061937918581118 ~1985
3062077183724638 ~1983
3062141183728478 ~1983
3062141244971298
30621411469827699
30622031041149039 ~1985
3062239306223918 ~1983
30623774164832739 ~1986
306265161253037 ~1982
306272361254477 ~1982
3062879551318238 ~1984
306296361259277 ~1982
3063097183785838 ~1983
3063377428872798 ~1984
306341961268397 ~1982
30634613369807119 ~1986
Exp. Prime Factor Digits Year
3063583490173298 ~1984
3063629980361298 ~1985
3063673347420518310 ~1988
306383961276797 ~1982
30639191286845999 ~1985
306407961281597 ~1982
306415161283037 ~1982
3064421183865278 ~1983
3064421245153698
3064433429020638 ~1984
3064469245157538 ~1983
306457161291437 ~1982
3064577183874638 ~1983
3064601245168098 ~1983
3064693183881598 ~1983
306470361294077 ~1982
3065053674311678 ~1984
3065143306514318 ~1983
3065299306529918 ~1983
306541161308237 ~1982
306548361309677 ~1982
3065507245240578 ~1983
306551961310397 ~1982
3065563306556318 ~1983
3065639245251138 ~1983
Exp. Prime Factor Digits Year
306565161313037 ~1982
3065717183943038 ~1983
3065749674464798 ~1984
3065983306598318 ~1983
306599961319997 ~1982
3066017429242398 ~1984
306607161321437 ~1982
3066311551935998 ~1984
3066311160061434310
3066347551942478 ~1984
3066517735964098 ~1984
306659961331997 ~1982
306661161332237 ~1982
306674361334877 ~1982
3066821245345698 ~1983
306686361337277 ~1982
3066901184014078 ~1983
30669112453528819 ~1986
306697161339437 ~1982
306713961342797 ~1982
3067199245375938 ~1983
3067391245391298 ~1983
3067483490797298 ~1984
306751161350237 ~1982
30678172454253619 ~1986
Exp. Prime Factor Digits Year
3067891306789118 ~1983
30679311472606899 ~1985
3067979245438338 ~1983
3068111981795538 ~1985
3068203490912498 ~1984
3068621184117278 ~1983
30686411472947699 ~1985
306865161373037 ~1982
306871161374237 ~1982
30689031288939279 ~1985
3068957184137438 ~1983
306911961382397 ~1982
3069119245529538
30691191473177139
306932361386477 ~1982
306935961387197 ~1982
3069413429717838 ~1984
3069427306942718 ~1983
306955161391037 ~1982
3069551245564098
30699232455938419 ~1986
307004361400877 ~1982
30701175157796579 ~1986
307013961402797 ~1982
3070139245611138
502
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25-04-13