A191020 Primes p with Kronecker symbol (p|2*11) = 1.

13, 19, 23, 29, 31, 43, 47, 61, 71, 83, 89, 97, 101, 103, 107, 109, 113, 131, 137, 139, 149, 173, 191, 197, 199, 211, 223, 227, 257, 277, 283, 293, 307, 311, 313, 347, 349, 353, 367, 373, 383, 401, 433, 449, 461, 463, 487, 491, 521, 523, 541, 547, 557, 563

Offset: 1

Author

T. D. Noe, May 24 2011

Keywords

• nonn
• easy

Comments

Originally incorrectly named "primes which are squares (mod 22)", which is sequence A056874. - M. F. Hasler, Jan 15 2016

Links

• Iain Fox, Table of n, a(n) for n = 1..10000 (first 1000 terms from Vincenzo Librandi)

Crossrefs

Cf. A191017, A191018, A191023.

Programs

Magma

[p: p in PrimesUpTo(563) | KroneckerSymbol(p, 22) eq 1]; // Vincenzo Librandi, Sep 11 2012

Mathematica

Select[Prime[Range[200]], JacobiSymbol[#,22]==1&]

PARI

lista(nn) = forprime(p=13, nn, if(kronecker(p, 22)==1, print1(p, ", "))) \\ Iain Fox, Mar 05 2018

Extensions

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