A139662 Primes of the form x^2 + 462*y^2.

463, 487, 631, 751, 823, 991, 1087, 1303, 1423, 1831, 1873, 2017, 2137, 2143, 2311, 2377, 2473, 2671, 2689, 3217, 3271, 3529, 3697, 3943, 4057, 4159, 4327, 4447, 4519, 4657, 4783, 4951, 4999, 5119, 5503, 5527, 5569, 5791, 5839, 6007, 6073

Offset: 1

Author

T. D. Noe, Apr 29 2008

Keywords

• nonn
• easy

Comments

Discriminant = -1848. See A139643 for more information.

The primes are congruent to {1, 25, 169, 247, 289, 295, 361, 463, 487, 529, 625, 631, 697, 751, 793, 823, 841, 961, 991, 1087, 1159, 1255, 1303, 1345, 1369, 1423, 1633, 1681, 1807, 1831} (mod 1848).

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

k:=462; [p: p in PrimesUpTo(7000) | NormEquation(k, p) eq true]; // Bruno Berselli, Jun 01 2016

Mathematica

QuadPrimes2[1, 0, 462, 10000] (* see A106856 *)