A191074 Primes p that have Kronecker symbol (p|55) = -1.

3, 19, 23, 29, 37, 41, 47, 53, 61, 67, 79, 97, 101, 103, 109, 113, 131, 137, 139, 149, 151, 157, 163, 211, 223, 239, 241, 257, 271, 281, 313, 317, 349, 353, 359, 367, 383, 397, 409, 431, 433, 439, 443, 461, 463, 467, 479, 487, 491, 541, 569, 571, 577, 587

Offset: 1

Author

T. D. Noe, May 25 2011

Keywords

• nonn
• easy

Comments

Originally erroneously named "Primes that are not squares mod 55", which contains this as a subsequence. - M. F. Hasler, Jan 18 2016

Links

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

Crossrefs

Cf. A191036.

Programs

Magma

[p: p in PrimesUpTo(587) | JacobiSymbol(p, 55) eq -1]; // Vincenzo Librandi, Sep 11 2012

Mathematica

Select[Prime[Range[200]], JacobiSymbol[#,55]==-1&]

Extensions

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