A191054 Primes p such that Jacobi(p,91) = 1.

5, 19, 23, 29, 31, 41, 43, 47, 53, 59, 73, 79, 83, 89, 97, 107, 113, 127, 167, 179, 191, 211, 223, 227, 229, 233, 241, 263, 271, 277, 293, 307, 337, 347, 349, 353, 373, 383, 389, 397, 409, 443, 461, 479, 491, 509, 547, 569, 571, 577, 587, 593, 599, 619, 641

Offset: 1

Author

T. D. Noe, May 25 2011

Keywords

• nonn
• easy

Comments

Originally incorrectly named "Primes that are squares mod 91", which is sequence A106989, and a subsequence of this one, because these primes have (p|7) = (p|13) = 1. The present sequence includes also primes with (p|7) = (p|13) = -1. - David Broadhurst and M. F. Hasler, Jan 15 2016

Links

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

Programs

Magma

[p: p in PrimesUpTo(641) | JacobiSymbol(p, 91) eq 1]; // Vincenzo Librandi, Sep 10 2012

Mathematica

Select[Prime[Range[200]], JacobiSymbol[#,91]==1&]

PARI

is(p)=kronecker(p,91)==1&&isprime(p) \\ M. F. Hasler, Jan 15 2016

Extensions

Definition corrected, following a suggestion from David Broadhurst, by M. F. Hasler, Jan 15 2016