A191023 Primes p which have Kronecker symbol (p|30) = 1.

11, 13, 17, 23, 29, 31, 37, 43, 47, 59, 67, 79, 101, 113, 131, 137, 149, 151, 157, 163, 167, 179, 199, 233, 241, 251, 257, 263, 269, 271, 277, 283, 307, 353, 373, 383, 389, 397, 409, 419, 439, 461, 491, 503, 509, 523, 547, 593, 601, 613, 617, 631, 643, 647

Offset: 1

Author

T. D. Noe, May 24 2011

Keywords

• nonn
• easy

Comments

Originally incorrectly named "primes which are squares (mod 30)", which is sequence A033212. - M. F. Hasler, Jan 15 2016

Links

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

Crossrefs

Cf. A191017, A191018, A191020.

Programs

Magma

[p: p in PrimesUpTo(647) | KroneckerSymbol(p, 30) eq 1]; // Vincenzo Librandi, Sep 11 2012

Mathematica

Select[Prime[Range[200]], JacobiSymbol[#,30]==1&]

PARI

is(n)=isprime(n) && kronecker(n,30)==1 \\ Charles R Greathouse IV, Jul 12 2016

Extensions

Definition corrected (following an observation by David Broadhurst) by M. F. Hasler, Jan 15 2016