A191047 Primes p that have Kronecker symbol (p|78) = 1.

19, 29, 37, 41, 47, 53, 67, 71, 79, 89, 101, 103, 107, 109, 127, 131, 137, 163, 167, 173, 179, 199, 229, 239, 251, 269, 281, 307, 313, 331, 337, 347, 349, 353, 359, 367, 379, 383, 389, 397, 401, 419, 421, 431, 433, 439, 443, 449, 467, 479, 491, 499, 541, 563

Offset: 1

Author

T. D. Noe, May 25 2011

Keywords

• nonn
• easy

Comments

Originally erroneously named "Primes that are squares mod 78", which would be A267455. - M. F. Hasler, Jan 18 2016

Links

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

Programs

Magma

[p: p in PrimesUpTo(563) | KroneckerSymbol(p, 78) eq 1]; // Vincenzo Librandi, Sep 11 2012

Mathematica

Select[Prime[Range[200]], JacobiSymbol[#,78]==1&]

PARI

is_A191047(p)=kronecker(p, 78)==1&&isprime(p) \\ M. F. Hasler, Jan 18 2016

Extensions

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