A244739 Numbers k such that (prime(k) mod 5) == 0 (mod 3).

2, 3, 6, 9, 14, 16, 21, 23, 27, 30, 38, 40, 44, 48, 51, 56, 61, 62, 65, 71, 74, 76, 84, 86, 90, 96, 99, 103, 108, 112, 117, 119, 122, 124, 130, 132, 137, 143, 147, 150, 153, 162, 166, 170, 174, 179, 183, 185, 188, 191, 192, 196, 198, 200, 208, 213, 220, 224

Offset

1,1

Comments

Every positive integer is in exactly one of the sequences A244739, A024707, A244741.

Links

Clark Kimberling, Table of n, a(n) for n = 1..1000

Example

n ... prime(n) mod 5 mod 3
1 ..... 2 ..... 2 ... 2
2 ..... 3 ..... 3 ... 0
3 ..... 5 ..... 0 ... 0
4 ..... 7 ..... 2 ... 2
5 ..... 11 .... 1 ... 1
6 ..... 13 .... 3 ... 0

Mathematica

z = 300; u = Mod[Table[Mod[Prime[n], 5], {n, 1, z}], 3] (* A244738 *)
v1 = Flatten[Position[u, 0]]  (* A244739 *)
v2 = Flatten[Position[u, 1]]  (* A024707 *)
v3 = Flatten[Position[u, 2]]  (* A244741 *)

Crossrefs

Cf. A039703, A244738, A024707, A244741, A244735. Essentially the same as A2049508.

Sequence in context: A215523 A306247 A348865 * A075123 A023559 A191184

Adjacent sequences: A244736 A244737 A244738 * A244740 A244741 A244742

Keyword

nonn,easy

Author

Clark Kimberling, Jul 05 2014

Status

approved