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A178375 The greatest common prime divisor of A000032(n)-1 and A001608(n), or 1 if no such divisor exists. 1

%I #11 Feb 21 2021 03:41:50

%S 2,3,2,5,1,7,2,3,1,11,1,13,1,1,2,17,1,19,1,1,2,23,1,5,1,3,1,29,1,31,2,

%T 7,1,3,1,37,1,7,1,41,1,43,2,1,2,47,1,7,2,1,3,53,1,7,1,1,2,59,1,61,1,1,

%U 2,7,1,67,3,1,1,71,1,73,2,1,1,5,1,79,1,7,1,83,1,2,2,7,2,89,1

%N The greatest common prime divisor of A000032(n)-1 and A001608(n), or 1 if no such divisor exists.

%C If n is prime, then n divides c(n). If n is composite and divides c(n) it is a pseudoprime to both the Lucas (Bruckman) and Perrin tests, which is the intersection of A005845 and A013998.

%C Conjecture: Records of the sequence are consecutive primes.

%Y Cf. A000032, A001608, A178380, A005845, A013998.

%K nonn

%O 2,1

%A _Vladimir Shevelev_, May 26 2010

%E More terms from _R. J. Mathar_, Aug 08 2010

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Last modified May 4 19:41 EDT 2024. Contains 372257 sequences. (Running on oeis4.)