A139935 Primes of the form 2x^2+2xy+173y^2.

2, 173, 197, 233, 257, 317, 353, 593, 653, 857, 1013, 1097, 1277, 1373, 1553, 1613, 1637, 1697, 1733, 1913, 1973, 2237, 2393, 2417, 2477, 2657, 2693, 2753, 2837, 2957, 3137, 3413, 3617, 3797, 4073, 4133, 4217, 4337, 4373, 4397, 4457, 4493

Offset

1,1

Comments

Discriminant=-1380. 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 {2, 77, 173, 197, 233, 257, 317, 353, 377, 473, 533, 593, 653, 737, 857, 1013, 1037, 1097, 1133, 1277, 1313, 1337, 1373} (mod 1380).

Mathematica

QuadPrimes2[2, -2, 173, 10000] (* see A106856 *)

Prog

(Magma)[ p: p in PrimesUpTo(6000) | p mod 1380 in [2, 77, 173, 197, 233, 257, 317, 353, 377, 473, 533, 593, 653, 737, 857, 1013, 1037, 1097, 1133, 1277, 1313, 1337, 1373]]; // Vincenzo Librandi, Aug 02 2012

Crossrefs

Sequence in context: A051030 A339641 A262728 * A281958 A172231 A360478

Adjacent sequences: A139932 A139933 A139934 * A139936 A139937 A139938

Keyword

nonn,easy

Author

T. D. Noe, May 02 2008

Status

approved