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

Author

N. J. A. Sloane

Keywords

• nonn
• easy

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

Crossrefs

Cf. A000040.

Programs

Magma

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

Mathematica

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