A160592 - OEIS

A160592

Indices of primes congruent to 7 modulo 12.

4, 8, 11, 14, 19, 22, 27, 31, 34, 36, 38, 46, 47, 48, 58, 61, 63, 67, 73, 75, 85, 90, 93, 95, 99, 101, 105, 111, 114, 115, 117, 125, 129, 131, 133, 138, 141, 143, 149, 153, 155, 157, 163, 167, 175, 177, 179, 181, 188, 193, 202, 207, 210, 213, 217, 222, 224, 229, 232

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OFFSET

1,1

COMMENTS

The asymptotic density of this sequence is 1/4 (by Dirichlet's theorem). - Amiram Eldar, Mar 02 2021

LINKS

Table of n, a(n) for n=1..59.

FORMULA

a(n) = A000720(A068229(n)).

EXAMPLE

a(1) = 4 since the 4th prime, A000040(4) = 7, is the first one to be equal to 7 (mod 12).

a(2) = 8 since the 8th prime, A000040(8) = 19, is the second one to be equal to 7 (mod 12).