A139914 Primes of the form 4x^2+4xy+71y^2.

71, 79, 151, 191, 239, 359, 431, 599, 631, 751, 911, 919, 991, 1031, 1439, 1471, 1759, 1831, 1871, 1999, 2039, 2111, 2311, 2591, 2671, 2711, 2879, 3119, 3271, 3319, 3511, 3719, 4111, 4159, 4271, 4391, 4519, 4799, 4831, 4951, 4999, 5119

Offset: 1

Author

T. D. Noe, May 02 2008

Keywords

• nonn
• easy

Comments

Discriminant=-1120. 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)

Programs

Magma

[ p: p in PrimesUpTo(6000) | p mod 280 in [39, 71, 79, 151, 191, 239]]; // Vincenzo Librandi, Aug 01 2012

Mathematica

QuadPrimes2[4, -4, 71, 10000] (* see A106856 *)

Formula

The primes are congruent to {39, 71, 79, 151, 191, 239} (mod 280).