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A160593
Indices of primes congruent to 11 modulo 12.
2
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
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.
Sequence in context: A314994 A106503 A267648 * A246156 A314995 A314996
KEYWORD
nonn
AUTHOR
M. F. Hasler, May 22 2009
STATUS
approved