A139996 Primes of the form 28x^2+28xy+37y^2.

37, 277, 373, 613, 757, 877, 1093, 1117, 1213, 1453, 1597, 1933, 2053, 2293, 2437, 2557, 2797, 3613, 3637, 3733, 4813, 4957, 5077, 5413, 5653, 6133, 6637, 6997, 7333, 7477, 7933, 8317, 8677, 9013, 9157, 9277, 9613, 10333, 10357, 10453, 10837

Offset: 1

Author

T. D. Noe, May 02 2008

Keywords

• nonn
• easy

Comments

Discriminant=-3360. See A139827 for more information.

Also primes of the forms 37x^2+18xy+93y^2 and 37x^2+24xy+72y^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(12000) | p mod 840 in [37, 253, 277, 373, 613, 757]]; // Vincenzo Librandi, Aug 03 2012

Mathematica

QuadPrimes2[28, -28, 37, 10000] (* see A106856 *)

Formula

The primes are congruent to {37, 253, 277, 373, 613, 757} (mod 840).