A191018 Primes p with Jacobi symbol (p|3*5) = 1.

2, 17, 19, 23, 31, 47, 53, 61, 79, 83, 107, 109, 113, 137, 139, 151, 167, 173, 181, 197, 199, 211, 227, 229, 233, 241, 257, 263, 271, 293, 317, 331, 347, 349, 353, 379, 383, 409, 421, 439, 443, 467, 499, 503, 541, 557, 563, 571, 587, 593, 601, 617, 619, 631

Offset: 1

Author

T. D. Noe, May 24 2011

Keywords

• nonn
• easy

Comments

Originally incorrectly named "Primes that are squares mod 15", which is the subsequence A033212. The present sequence also includes primes which are not square mod 3 neither mod 5, i.e., with Legendre symbols (p|3) = (p|5) = -1. - David Broadhurst and M. F. Hasler, Jan 15 2016

Primes congruent to {1, 2, 4, 8} mod 15. - Wolfdieter Lang, May 19 2021

Links

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

Crossrefs

Cf. A316569.

Primes of A341786, except 3 and 5.

Programs

Mathematica

Select[Prime[Range[200]], JacobiSymbol[#,15]==1&]

PARI

is(p)=kronecker(p,15)==1&&isprime(p) \\ M. F. Hasler, Jan 15 2016

Extensions

Name corrected upon suggestion from David Broadhurst by M. F. Hasler, Jan 15 2016