

A191017


Primes with Kronecker symbol (p2*7) = 1.


20



3, 5, 13, 19, 23, 59, 61, 71, 79, 83, 101, 113, 127, 131, 137, 139, 151, 157, 173, 181, 191, 193, 227, 229, 233, 239, 251, 263, 269, 281, 283, 293, 307, 337, 349, 359, 397, 401, 419, 431, 449, 457, 461, 463, 467, 487, 509, 523, 563, 569, 587, 599, 617, 619
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OFFSET

1,1


COMMENTS

Originally incorrectly named "Primes that are squares mod 14", which is sequence A045373.  M. F. Hasler, Jan 15 2016
Conjecture: primes congruent to (1, 3, 5, 9, 13, 15, 19, 23, 25, 27, 39, 45) mod 56.  Vincenzo Librandi, Jun 22 2016


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(619)  KroneckerSymbol(p, 14) eq 1]; // Vincenzo Librandi, Sep 11 2012
(PARI) is(p)=kronecker(p, 14)==1&&isprime(p) \\ Michel Marcus, Jun 23 2016 after A191032


CROSSREFS

Cf. A191018, A191020.
Sequence in context: A108702 A136053 A157468 * A228228 A227031 A157974
Adjacent sequences: A191014 A191015 A191016 * A191018 A191019 A191020


KEYWORD

nonn,easy


AUTHOR

T. D. Noe, May 24 2011


EXTENSIONS

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


STATUS

approved



