A343241 Primes congruent to 2 or 8 modulo 15.

2, 17, 23, 47, 53, 83, 107, 113, 137, 167, 173, 197, 227, 233, 257, 263, 293, 317, 347, 353, 383, 443, 467, 503, 557, 563, 587, 593, 617, 647, 653, 677, 683, 743, 773, 797, 827, 857, 863, 887, 947, 953, 977, 983

Offset: 1

Author

Wolfdieter Lang, May 20 2021

Keywords

• nonn
• easy

Comments

This sequence is the complement of A033212 (primes congruent to 1 or 4 mod(15)) relative to the primes p with Jacobi(p|15) = +1 (A191018).

There is neither a solution x of the congruence x^2 == a(n) (mod 3) nor of x^2 == a(n) (mod 5) (the Legendre symbols are -1 in both cases, and Jacobi(a(n)|15) = +1).

Crossrefs

Cf. A033212, A106859 (with 3 and 5), A191018.

Programs

Mathematica

Select[Range[1000], PrimeQ[#] && MemberQ[{2, 8}, Mod[#, 15]] &] (* Amiram Eldar, May 20 2021 *)