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A160594 Indices of primes congruent to 1 modulo 12. 7
6, 12, 18, 21, 25, 29, 37, 42, 44, 50, 53, 59, 65, 68, 70, 74, 78, 80, 82, 84, 88, 100, 106, 110, 112, 121, 122, 127, 130, 134, 136, 145, 147, 151, 159, 168, 169, 172, 174, 180, 183, 187, 189, 191, 197, 198, 203, 204, 211, 216, 221, 226, 231, 237, 244, 251, 254 (list; graph; refs; listen; history; text; internal format)
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(A068228(n)).
EXAMPLE
a(1) = 6 since the 6th prime, A000040(6) = 13, is the first one to be equal to 1 (mod 12).
a(2) = 12 since the 12th prime, A000040(12) = 37, is the second one to be equal to 1 (mod 12).
MATHEMATICA
PrimePi/@Select[Range[1, 1701, 12], PrimeQ] (* Harvey P. Dale, Nov 28 2011 *)
PROG
(PARI) for( n=1, 999, prime(n)%12==1 & print1(n", "))
CROSSREFS
A116614 lists the even terms of this sequence, divided by 2.
Sequence in context: A350845 A315723 A361908 * A315724 A146538 A154373
KEYWORD
nonn
AUTHOR
M. F. Hasler, May 22 2009
STATUS
approved

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Last modified March 28 11:59 EDT 2024. Contains 371254 sequences. (Running on oeis4.)