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A171817 Primes p such that neither the previous nor the next prime is of the form 6k+1. 1

%I #10 Mar 12 2022 14:08:40

%S 2,3,7,13,19,43,53,97,103,109,127,139,173,181,193,229,241,257,263,283,

%T 307,313,349,397,409,421,457,463,487,499,509,563,593,643,653,691,709,

%U 769,787,811,823,829,853,859,877,883,907,919,937,947,967,977,1021,1051

%N Primes p such that neither the previous nor the next prime is of the form 6k+1.

%e 2 is a term because 3 is not a prime of the form 6k+1,

%e 3 is a term because 2 and 5 are not primes of the form 6k+1.

%e 7 is a term because 5 and 11 are not primes of the form 6k+1.

%o (PARI) lista(nn) = forprime(p=2, nn, if (((precprime(p-1) % 6) != 1) && ((nextprime(p+1) % 6) != 1), print1(p, ", "))); \\ _Michel Marcus_, Mar 12 2022

%Y Cf. A000040, A002476.

%K nonn

%O 1,1

%A _Juri-Stepan Gerasimov_, Dec 19 2009, Feb 11 2010

%E Entries checked by _R. J. Mathar_, Apr 14 2010

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Last modified April 19 15:11 EDT 2024. Contains 371794 sequences. (Running on oeis4.)