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A191061
Primes p that have Kronecker symbol (p|14) = -1.
5
11, 17, 29, 31, 37, 41, 43, 47, 53, 67, 73, 89, 97, 103, 107, 109, 149, 163, 167, 179, 197, 199, 211, 223, 241, 257, 271, 277, 311, 313, 317, 331, 347, 353, 367, 373, 379, 383, 389, 409, 421, 433, 439, 443, 479, 491, 499, 503, 521, 541, 547, 557, 571, 577
OFFSET
1,1
COMMENTS
Originally erroneously named "Primes that are not squares mod 14". - M. F. Hasler, Jan 18 2016
From Jianing Song, Nov 21 2019:
Primes congruent to {11, 17, 29, 31, 33, 37, 41, 43, 47, 51, 53, 55} mod 56.
Rational primes that are remain inert in the field Q(sqrt(-14)). (End)
Primes p such that the Legendre symbol (-14/p) = -1, i.e., -14 is not a square modulo p. - Jianing Song, Oct 23 2024
LINKS
MATHEMATICA
Select[Prime[Range[200]], JacobiSymbol[#, 14]==-1&]
PROG
(Magma) [p: p in PrimesUpTo(577) | KroneckerSymbol(p, 14) eq -1]; // Vincenzo Librandi, Sep 11 2012
CROSSREFS
Sequence in context: A359443 A079367 A120139 * A377177 A110055 A240095
KEYWORD
nonn,easy
AUTHOR
T. D. Noe, May 25 2011
EXTENSIONS
Definition corrected, following a suggestion from David Broadhurst, by M. F. Hasler, Jan 18 2016
STATUS
approved