A140024 Primes of the form 26x^2+26xy+59y^2.

59, 479, 839, 1151, 1259, 1319, 1571, 1931, 2099, 2351, 2399, 2411, 2579, 2819, 3191, 3359, 3491, 3659, 3671, 3911, 4259, 4451, 4751, 4919, 5039, 5351, 5519, 5939, 6011, 6131, 6299, 6359, 6599, 6719, 6779, 7451, 7559, 7691, 8039, 8231

Offset

1,1

Comments

Discriminant=-5460. 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 {59, 479, 551, 671, 839, 899, 1139, 1151, 1259, 1319, 1571, 1679, 1931, 1991, 2099, 2231, 2351, 2399, 2411, 2579, 2771, 2819, 3191, 3239, 3359, 3491, 3659, 3671, 3911, 4259, 4331, 4451, 4751, 4919, 5039, 5351} (mod 5460).

Mathematica

QuadPrimes2[26, -26, 59, 10000] (* see A106856 *)

Prog

(Magma) [ p: p in PrimesUpTo(13000) | p mod 5460 in {59, 479, 551, 671, 839, 899, 1139, 1151, 1259, 1319, 1571, 1679, 1931, 1991, 2099, 2231, 2351, 2399, 2411, 2579, 2771, 2819, 3191, 3239, 3359, 3491, 3659, 3671, 3911, 4259, 4331, 4451, 4751, 4919, 5039, 5351} ]; // Vincenzo Librandi, Aug 06 2012

Crossrefs

Sequence in context: A235216 A284754 A125034 * A219064 A263127 A308649

Adjacent sequences: A140021 A140022 A140023 * A140025 A140026 A140027

Keyword

nonn,easy

Author

T. D. Noe, May 02 2008

Status

approved