A191069 Primes p that have Kronecker symbol (p|38) = -1.

5, 11, 31, 41, 43, 61, 71, 79, 83, 89, 97, 101, 103, 113, 127, 131, 139, 149, 151, 157, 163, 167, 193, 197, 223, 229, 241, 251, 257, 277, 281, 283, 337, 347, 349, 383, 389, 397, 401, 409, 419, 431, 433, 439, 443, 449, 461, 467, 487, 491, 499, 521, 541, 557

Offset: 1

Author

T. D. Noe, May 25 2011

Keywords

• nonn
• easy

Comments

Originally erroneously named "Primes that are not squares mod 38", which contains this as a subsequence. - M. F. Hasler, Jan 18 2016

Links

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

Programs

Magma

[p: p in PrimesUpTo(557) | KroneckerSymbol(p, 38) eq -1]; // Bruno Berselli, Sep 11 2012

Mathematica

Select[Prime[Range[200]], JacobiSymbol[#,38]==-1&]

Extensions

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