A139988 Primes of the form 8x^2+105y^2.

113, 137, 233, 617, 953, 977, 1913, 2153, 2297, 2417, 2633, 2657, 2753, 3137, 3257, 3593, 3833, 4337, 4673, 4817, 4937, 5153, 5273, 5657, 6113, 6353, 6833, 6857, 7193, 7457, 7673, 7793, 8297, 8513, 8537, 9137, 9377, 9473, 9857, 10193, 10313

Offset: 1

Author

T. D. Noe, May 02 2008

Keywords

• nonn
• easy

Comments

Discriminant=-3360. See A139827 for more information.

Also primes of the form 32x^2+24xy+57y^2. See A140633. - T. D. Noe, May 19 2008

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(11000) | p mod 840 in [113, 137, 233, 473, 617, 737]]; // Vincenzo Librandi, Aug 03 2012

Mathematica

QuadPrimes2[8, 0, 105, 10000] (* see A106856 *)

Formula

The primes are congruent to {113, 137, 233, 473, 617, 737} (mod 840).