A033633 a(n) = n-th prime modulo 19.

2, 3, 5, 7, 11, 13, 17, 0, 4, 10, 12, 18, 3, 5, 9, 15, 2, 4, 10, 14, 16, 3, 7, 13, 2, 6, 8, 12, 14, 18, 13, 17, 4, 6, 16, 18, 5, 11, 15, 2, 8, 10, 1, 3, 7, 9, 2, 14, 18, 1, 5, 11, 13, 4, 10, 16, 3, 5, 11, 15, 17, 8, 3, 7, 9, 13, 8, 14, 5, 7, 11, 17, 6, 12, 18, 3, 9, 17, 2, 10

Offset

1,1

Links

Vincenzo Librandi, Table of n, a(n) for n = 1..1000

Formula

a(n) = A000040(n) mod 19.

Sum_k={1..n} a(k) ~ (19/2)*n. - Amiram Eldar, Dec 12 2024

Mathematica

Mod[Prime[Range[100]], 19] (* Vincenzo Librandi, May 07 2014 *)

Prog

(Magma) [p mod(19): p in PrimesUpTo(500)]; // Vincenzo Librandi, May 07 2014

Crossrefs

Cf. similar sequences listed in A242119.

Sequence in context: A323520 A176548 A020625 * A242119 A308505 A338938

Adjacent sequences: A033630 A033631 A033632 * A033634 A033635 A033636

Keyword

nonn,easy

Author

Armand Turpel (armand_t(AT)yahoo.com)

Status

approved