A045399 Primes congruent to {0, 3, 5, 6} mod 7.

3, 5, 7, 13, 17, 19, 31, 41, 47, 59, 61, 73, 83, 89, 97, 101, 103, 131, 139, 157, 167, 173, 181, 199, 223, 227, 229, 241, 251, 257, 269, 271, 283, 293, 307, 311, 313, 349, 353, 367, 383, 397, 409, 419, 433, 439

Offset

1,1

Comments

Primes p such that A140686(p) = 0. - Michael Somos, Feb 12 2011

Primes (along with 2) which cannot be written in the form a^2 + 7*b^2, where a > 0, b > 0. - V. Raman, Sep 08 2012

Links

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

Mathematica

Select[Prime[Range[300]], MemberQ[{0, 3, 5, 6}, Mod[#, 7]]&] (* Vincenzo Librandi, Aug 12 2012 *)

Prog

(Magma) [ p: p in PrimesUpTo(600) | p mod 7 in {0, 3, 5, 6} ]; // Vincenzo Librandi, Aug 12 2012

Crossrefs

Cf. A000040.

Sequence in context: A355853 A155045 A144296 * A122834 A174265 A346645

Adjacent sequences: A045396 A045397 A045398 * A045400 A045401 A045402

Keyword

nonn,easy

Author

N. J. A. Sloane

Status

approved