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%I #9 Sep 04 2023 18:23:06
%S 1,3,7,31,127,271,607,2047,3151,8191,10111,40447,42367,48511,50431,
%T 80767,88831,90751,121087,131071,161407,163327,169471,171391,201727,
%U 209791,211711,243967,250111,282367,290431,292351,322687,324607,332671
%N Numbers to which Mersenne primes 2^p-1 can be congruent mod k! (for k > 1).
%C All Mersenne primes are congruent to 1 mod 2!, 1 mod 3! (with the exception of the first one), 7 mod 4! (with the exception of the first one), 7 mod 5! (see A112633), or 31 mod 5! (see A145040).
%Y Cf. A000668, A124477, A139484, A112633, A145040, A145041, A145042.
%K nonn
%O 1,2
%A _Artur Jasinski_, Sep 30 2008
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