A215607 Primes p such that four consecutive primes starting with p are congruent to {1,2,3,4} (mod 5).

251, 1741, 3301, 3631, 4051, 5101, 5281, 5381, 5531, 6311, 6361, 6841, 8641, 9901, 10861, 11491, 12451, 12541, 12641, 13451, 13591, 14741, 14891, 15791, 15901, 16481, 17471, 18211, 19471, 22441, 22811, 23321, 23761, 24391, 26171, 26371, 28921, 29311, 30091

Offset

1,1

Comments

Indices of primes: 54, 271, 464, 508, 559, 682, 701, 709, 732, 821, 829, 881, 1076, 1221, 1321, 1386, 1486, ....

Links

Zak Seidov, Table of n, a(n) for n = 1..3000

Example

prime(54,55,56,57) = {251, 257, 263, 269} == {1,2,3,4} (mod 5).

Mathematica

nn = 4000; p = Partition[Prime[Range[nn]], 4, 1]; t = Select[p, Mod[#, 5] == {1, 2, 3, 4} &]; Transpose[t][[1]] (* T. D. Noe, Aug 17 2012 *)
Select[Partition[Prime[Range[4000]], 4, 1], Mod[#, 5]=={1, 2, 3, 4}&][[;; , 1]] (* Harvey P. Dale, Feb 24 2023 *)

Crossrefs

Cf. A215599, A215662.

Sequence in context: A008917 A025396 A185941 * A099734 A054800 A033451

Adjacent sequences: A215604 A215605 A215606 * A215608 A215609 A215610

Keyword

nonn

Author

Zak Seidov, Aug 17 2012

Status

approved