A139957 Primes of the form 4x^2+4xy+103y^2.

103, 127, 151, 223, 271, 463, 631, 727, 919, 967, 1039, 1063, 1087, 1279, 1327, 1447, 1471, 1543, 1759, 1783, 1879, 1951, 2143, 2287, 2311, 2503, 2551, 2671, 2719, 2767, 3079, 3319, 3391, 3511, 3583, 3727, 3823, 3919, 3943, 4231, 4327

Offset

1,1

Comments

Discriminant=-1632. 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 {55, 103, 127, 151, 223, 247, 271, 319} (mod 408).

Mathematica

QuadPrimes2[4, -4, 103, 10000] (* see A106856 *)

Prog

(Magma) [ p: p in PrimesUpTo(5000) | p mod 408 in [55, 103, 127, 151, 223, 247, 271, 319]]; // Vincenzo Librandi, Aug 02 2012

Crossrefs

Sequence in context: A098049 A055628 A139643 * A077404 A139979 A146357

Adjacent sequences: A139954 A139955 A139956 * A139958 A139959 A139960

Keyword

nonn,easy

Author

T. D. Noe, May 02 2008

Status

approved