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%I #20 Apr 03 2023 10:36:12
%S 7,97,31,708158977,127,22783,113210499946729046527,12289,
%T 1049179854847,22427452848394140276947044397991663611794141183,8191,
%U 29687809
%N The smallest odd prime factor of the Lucas-Lehmer number A003010(n).
%C Does this sequence include all of the Mersenne primes greater than 3?
%C a(8)=12289; a(11)=8191, a(15)=131071.
%C Also the least prime factor of A002812(n). - _Michel Marcus_, Dec 16 2022
%C a(p-2) = 2^p-1 for all odd Mersenne exponents p in A000043? - _Thomas Ordowski_, Aug 12 2018
%H Chris Caldwell, <a href="https://t5k.org/mersenne/index.html">Mersenne primes</a>
%e A003010(3)=37634 and its smallest odd prime factor is 31.
%Y Cf. A000040, A003010, A000668, A002812.
%K nonn,more
%O 1,1
%A _G. L. Honaker, Jr._, Dec 13 2010
%E More terms, using factordb, from _Michel Marcus_ and _Hugo Pfoertner_, Dec 16 2022
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