A191065 Primes that are not squares mod 23.

5, 7, 11, 17, 19, 37, 43, 53, 61, 67, 79, 83, 89, 97, 103, 107, 109, 113, 137, 149, 157, 181, 191, 199, 227, 229, 241, 251, 263, 281, 283, 293, 313, 337, 359, 367, 373, 379, 383, 389, 401, 419, 421, 431, 433, 457, 467, 479, 503, 521, 523, 557, 563, 569, 571

Offset: 1

Author

T. D. Noe, May 25 2011

Keywords

• nonn
• easy

Comments

Inert rational primes in the field Q(sqrt(-23)). - N. J. A. Sloane, Dec 26 2017

It appears that this is the same as primes p such that A000594(p) = RamanujanTau(p) == 0 (mod 23). - Ray Chandler, Dec 01 2016

Links

• Vincenzo Librandi, Table of n, a(n) for n = 1..1000
• Index to sequences related to decomposition of primes in quadratic fields

Crossrefs

Primes in A278579.

Programs

Magma

[p: p in PrimesUpTo(571) | JacobiSymbol(p, 23) eq -1]; // Vincenzo Librandi, Sep 11 2012

Mathematica

Select[Prime[Range[200]], JacobiSymbol[#,23]==-1&]