A139893 Primes of the form 14x^2+15y^2.

29, 71, 149, 191, 239, 359, 389, 431, 599, 701, 821, 911, 1031, 1061, 1229, 1439, 1709, 1871, 1901, 2039, 2069, 2111, 2381, 2549, 2591, 2711, 2741, 2879, 2909, 3119, 3221, 3389, 3581, 3719, 4229, 4271, 4349, 4391, 4421, 4799, 5021, 5189

Offset: 1

Author

T. D. Noe, May 02 2008

Keywords

• nonn
• easy

Comments

Discriminant=-840. 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 840 in {29, 71, 149, 191, 221, 239, 359, 389, 431, 599, 701, 821}]; // Vincenzo Librandi, Jul 30 2012

Mathematica

QuadPrimes2[14, 0, 15, 10000] (* see A106856 *)

Formula

The primes are congruent to {29, 71, 149, 191, 221, 239, 359, 389, 431, 599, 701, 821} (mod 840).