A191051 Primes p that have Kronecker symbol (p|86) = 1.

3, 5, 17, 19, 23, 29, 31, 37, 41, 47, 61, 79, 97, 103, 127, 131, 149, 157, 163, 167, 179, 193, 211, 227, 239, 271, 277, 281, 311, 331, 337, 347, 349, 353, 359, 367, 373, 389, 401, 419, 421, 431, 439, 467, 479, 487, 491, 499, 523, 569, 571, 587, 599, 617, 653

Offset: 1

Author

T. D. Noe, May 25 2011

Keywords

• nonn
• easy

Comments

Originally incorrectly named "primes which are squares mod 86", which is sequence A106891. - 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, A191028, A191029, A191032, A191034, A191036, A191037, A191040, A191042, A191043, A191046, A191047, A191049.

Programs

Magma

[p: p in PrimesUpTo(653) | KroneckerSymbol(p, 86) eq 1]; // Vincenzo Librandi, Sep 11 2012

Mathematica

Select[Prime[Range[200]], JacobiSymbol[#,86]==1&]

PARI

select(p->kronecker(p, 86)==1&&isprime(p), [1..1000]) \\ This is to provide a generic characteristic function ("is_A191051") as 1st arg of select(), there are other ways to produce the sequence more efficiently. - M. F. Hasler, Jan 15 2016

Extensions

Definition corrected by M. F. Hasler, Jan 15 2016