A106952 Primes of the form 3x^2-3xy+7y^2, with x and y nonnegative.

3, 7, 13, 37, 43, 67, 73, 97, 103, 127, 157, 163, 193, 223, 277, 283, 307, 313, 337, 367, 373, 397, 433, 457, 463, 487, 523, 547, 577, 607, 613, 643, 673, 727, 733, 757, 787, 823, 853, 877, 883, 907, 937, 967, 997, 1033, 1063, 1087, 1093, 1117, 1123

Offset

1,1

Comments

Discriminant=-75.

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)

Mathematica

QuadPrimes2[3, -3, 7, 10000] (* see A106856 *)

Prog

(Magma) [ p: p in PrimesUpTo(2000) | p mod 30 in {3, 7, 13} ]; // Vincenzo Librandi, Jul 22 2012

Crossrefs

Sequence in context: A084611 A078454 A023212 * A106951 A378703 A106057

Adjacent sequences: A106949 A106950 A106951 * A106953 A106954 A106955

Keyword

nonn,easy

Author

T. D. Noe, May 09 2005

Status

approved