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A244739 Numbers k such that (prime(k) mod 5) == 0 (mod 3). 4
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 (list; graph; refs; listen; history; text; internal format)
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, A049508, A244738, A024707, A244741, A244735.

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

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Last modified November 28 18:39 EST 2021. Contains 349415 sequences. (Running on oeis4.)