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Numbers m such that both m and (m-1)/2 are Fermat pseudoprimes base 2 (A001567).
8

%I #14 Apr 24 2018 21:32:21

%S 19781763,46912496118443,192153584101141163

%N Numbers m such that both m and (m-1)/2 are Fermat pseudoprimes base 2 (A001567).

%C No other terms below 2^65.

%C Terms a(2) and a(3) are of the form (2^(2k+1)+1)/3 = A007583(k).

%C Terms A007583(k) belong to this sequence for k in A303009. Correspondingly, a(4) <= A007583(A303009(3)) = (2^83+1)/3 = 3223802185639011132549803.

%C If a(n) is not divisible by 3, then it also belongs to A175625.

%F a(n) = 2*A303447(n) + 1.

%Y Numbers (a(n)-1)/2 are listed in A303447.

%Y Subsequence of A006970 and A300193.

%Y Cf. A175625, A175942, A298758.

%K bref,hard,more,nonn

%O 1,1

%A _Max Alekseyev_, Apr 24 2018

%E a(1) from _Amiram Eldar_, Jan 26 2018