A191046 Primes p that have Kronecker symbol (p|74) = 1.

5, 7, 13, 19, 29, 41, 43, 47, 59, 61, 71, 73, 109, 127, 131, 137, 151, 163, 179, 223, 227, 233, 251, 263, 271, 277, 283, 331, 337, 347, 359, 367, 389, 421, 433, 461, 467, 499, 521, 523, 541, 547, 557, 563, 587, 593, 599, 601, 617, 641, 643, 653, 661, 673

Offset: 1

Author

T. D. Noe, May 25 2011

Keywords

• nonn
• easy

Comments

Originally incorrectly named "primes which are squares mod 74", which is sequence A038913. - 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, A191047, A191049.

Programs

Magma

[p: p in PrimesUpTo(673) | KroneckerSymbol(p, 74) eq 1]; // Vincenzo Librandi, Sep 11 2012

Mathematica

Select[Prime[Range[200]], JacobiSymbol[#,74]==1&]

PARI

select(p->kronecker(p, 74)==1&&isprime(p), [1..1000]) \\ This is to provide a generic characteristic function ("is_A191046") as 1st arg of select(), there are other ways to produce the sequence more efficiently. - M. F. Hasler, Jan 15 2016

Extensions

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