A160593 Indices of primes congruent to 11 modulo 12.

5, 9, 15, 17, 20, 23, 28, 32, 39, 41, 43, 49, 52, 54, 56, 64, 69, 72, 76, 81, 83, 86, 91, 92, 94, 96, 103, 107, 109, 118, 120, 124, 128, 132, 144, 146, 150, 154, 156, 161, 164, 166, 171, 173, 182, 185, 190, 192, 195, 200, 205, 208, 214, 215, 219, 225, 228, 230, 236

Offset

1,1

Comments

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

Links

Harvey P. Dale, Table of n, a(n) for n = 1..1000

Formula

a(n) = A000720(A068231(n)).

Example

a(1) = 5 since the 5th prime, A000040(5) = 11, is the first one to be equal to 11 (mod 12).
a(2) = 9 since the 9th prime, A000040(9) = 23, is the second one to be equal to 11 (mod 12).

Mathematica

Position[Mod[Prime[Range[250]], 12], 11]//Flatten (* Harvey P. Dale, Apr 13 2022 *)

Prog

(PARI) for( n=1, 999, prime(n)%12==11 & print1(n", "))

Crossrefs

A116610 lists the even terms of this sequence, divided by 2.

Cf. A000720, A068231.

Sequence in context: A314994 A106503 A267648 * A246156 A314995 A314996

Adjacent sequences: A160590 A160591 A160592 * A160594 A160595 A160596

Keyword

nonn

Author

M. F. Hasler, May 22 2009

Status

approved