

A191061


Primes p that have Kronecker symbol (p14) = 1.


3



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
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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)


LINKS

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


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

Cf. A191017, A274504.
Sequence in context: A126609 A079367 A120139 * A110055 A240095 A105886
Adjacent sequences: A191058 A191059 A191060 * A191062 A191063 A191064


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



