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

1,1

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

Mathematica

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

Prog

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

Crossrefs

Primes in A278579.

Sequence in context: A301913 A110587 A192281 * A271658 A282739 A072249

Adjacent sequences: A191062 A191063 A191064 * A191066 A191067 A191068

Keyword

nonn,easy

Author

T. D. Noe, May 25 2011

Status

approved