A191064 Primes p that have Kronecker symbol (p|22) = -1.

3, 5, 7, 17, 37, 41, 53, 59, 67, 73, 79, 127, 151, 157, 163, 167, 179, 181, 193, 229, 233, 239, 241, 251, 263, 269, 271, 281, 317, 331, 337, 359, 379, 389, 397, 409, 419, 421, 431, 439, 443, 457, 467, 479, 499, 503, 509, 569, 587, 593, 601, 607, 619, 643

Offset: 1

Author

T. D. Noe, May 25 2011

Keywords

• nonn
• easy

Comments

Originally erroneously named "Primes that are not squares mod 22". - M. F. Hasler, Jan 18 2016

Links

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

Crossrefs

Cf. A191020.

Programs

Magma

[p: p in PrimesUpTo(643) | KroneckerSymbol(p, 22) eq -1]; // Bruno Berselli, Sep 11 2012

Mathematica

Select[Prime[Range[200]], JacobiSymbol[#,22]==-1&]

Extensions

Definition corrected, following a suggestion from David Broadhurst, by M. F. Hasler, Jan 18 2016