A139654 Primes of the form x^2+273y^2.

277, 337, 373, 673, 757, 1093, 1117, 1213, 1297, 1381, 1429, 1453, 1621, 1873, 1933, 2053, 2389, 2473, 2521, 2557, 2713, 2857, 3301, 3613, 3637, 4057, 4657, 4729, 4813, 4957, 4993, 5209, 5581, 5737, 5749, 5821, 6133, 6217, 6301, 6421

Offset: 1

Author

T. D. Noe, Apr 29 2008

Keywords

• nonn
• easy

Comments

Discriminant=-1092. See A139643 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)

Programs

Magma

[ p: p in PrimesUpTo(7000) | p mod 1092 in {1, 25, 121, 205, 277, 289, 337, 361, 373, 445, 529, 589, 625, 673, 757, 781, 841, 961}]; // Vincenzo Librandi, Jul 28 2012

Mathematica

QuadPrimes2[1, 0, 273, 10000] (* see A106856 *)

Formula

The primes are congruent to {1, 25, 121, 205, 277, 289, 337, 361, 373, 445, 529, 589, 625, 673, 757, 781, 841, 961} (mod 1092).