A269705 Numbers k such that prime(k) == 1 (mod 9).

8, 12, 21, 29, 31, 38, 42, 46, 58, 63, 75, 78, 84, 93, 99, 100, 106, 112, 115, 131, 134, 141, 145, 153, 157, 159, 167, 169, 179, 187, 191, 193, 207, 211, 224, 232, 242, 244, 247, 257, 260, 264, 272, 276, 279, 287, 303, 306, 310, 316, 324, 326, 327, 335, 337

Offset

1,1

Comments

The asymptotic density of this sequence is 1/6 (by Dirichlet's theorem). - Amiram Eldar, Mar 02 2021

Links

Table of n, a(n) for n=1..55.

Example

a(1) = 8 because prime(8) = 19 and 19 == 1 (mod 9).

Mathematica

Select[Range[400], Mod[Prime[#], 9] == 1 &]

Prog

(Magma) [n: n in [1..500] | NthPrime(n) mod 9 eq 1];
(PARI) lista(nn) = for(n=1, nn, if(Mod(prime(n), 9)==1, print1(n, ", "))); \\ Altug Alkan, Mar 04 2016

Crossrefs

The associated primes are in A061237.

Cf. similar sequences listed in A269703.

Sequence in context: A350615 A300065 A072902 * A189322 A105571 A350633

Adjacent sequences: A269702 A269703 A269704 * A269706 A269707 A269708

Keyword

nonn

Author

Vincenzo Librandi, Mar 04 2016

Status

approved