A139954 - OEIS

A139954

Primes of the form 14x^2+14xy+31y^2.

31, 59, 199, 251, 311, 419, 619, 691, 719, 839, 859, 971, 1039, 1259, 1279, 1291, 1511, 1571, 1699, 1879, 1951, 2099, 2399, 2539, 2579, 2819, 2971, 3191, 3331, 3359, 3391, 3491, 3499, 3631, 3919, 4051, 4079, 4339, 4591, 4651, 4679, 4871

(list; graph; refs; listen; history; text; internal format)

OFFSET

1,1

COMMENTS

Discriminant=-1540. See A139827 for more information.

LINKS

Vincenzo Librandi and Ray Chandler, Table of n, a(n) for n = 1..10000 [First 1000 terms from Vincenzo Librandi]

N. J. A. Sloane et al., Binary Quadratic Forms and OEIS (Index to related sequences, programs, references)

FORMULA

The primes are congruent to {31, 59, 111, 159, 199, 251, 279, 311, 339, 411, 419, 531, 551, 559, 619, 691, 719, 731, 839, 859, 951, 971, 999, 1039, 1259, 1279, 1291, 1391, 1431, 1511} (mod 1540).

MATHEMATICA

QuadPrimes2[14, -14, 31, 10000] (* see A106856 *)

PROG

(Magma) [ p: p in PrimesUpTo(6000) | p mod 1540 in [31, 59, 111, 159, 199, 251, 279, 311, 339, 411, 419, 531, 551, 559, 619, 691, 719, 731, 839, 859, 951, 971, 999, 1039, 1259, 1279, 1291, 1391, 1431, 1511]]; // Vincenzo Librandi, Aug 02 2012

CROSSREFS

Sequence in context: A043173 A043953 A327447 * A153636 A109840 A108293

Adjacent sequences: A139951 A139952 A139953 * A139955 A139956 A139957

KEYWORD

nonn,easy

AUTHOR

T. D. Noe, May 02 2008

STATUS

approved