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

1,1

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).

Links

Table of n, a(n) for n=1..44.

Mathematica

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

Crossrefs

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

Sequence in context: A019421 A105901 A154963 * A049562 A107137 A086322

Adjacent sequences: A343238 A343239 A343240 * A343242 A343243 A343244

Keyword

nonn,easy

Author

Wolfdieter Lang, May 20 2021

Status

approved