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A160592 Indices of primes congruent to 7 modulo 12. 2
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 (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(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).
PROG
(PARI) for( n=1, 999, prime(n)%12==7 & print1(n", "))
CROSSREFS
A116615 lists the even terms of this sequence, divided by 2.
Sequence in context: A311040 A304530 A303750 * A311041 A311042 A311043
KEYWORD
nonn
AUTHOR
M. F. Hasler, May 22 2009
STATUS
approved

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Last modified March 28 15:38 EDT 2024. Contains 371254 sequences. (Running on oeis4.)