A191028 Primes p with Kronecker symbol (p|38) = 1.

3, 7, 13, 17, 23, 29, 37, 47, 53, 59, 67, 73, 107, 109, 137, 173, 179, 181, 191, 199, 211, 227, 233, 239, 263, 269, 271, 293, 307, 311, 313, 317, 331, 353, 359, 367, 373, 379, 421, 457, 463, 479, 503, 509, 523, 547, 563, 577, 593, 617, 631, 647, 659, 661

Offset: 1

Author

T. D. Noe, May 24 2011

Keywords

• nonn
• easy

Comments

Originally incorrectly named "primes which are squares (mod 38)", which is sequence A106863. - M. F. Hasler, Jan 15 2016

Links

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

Crossrefs

Cf. A191017, A191018, A191020, A191023, A191025, A191026.

Programs

Magma

[p: p in PrimesUpTo(661) | KroneckerSymbol(p, 38) eq 1]; // Vincenzo Librandi, Sep 11 2012

Mathematica

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

PARI

is(p)=kronecker(p, 38)==1&&isprime(p) \\ M. F. Hasler, Jan 15 2016

Extensions

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