A139939 Primes of the form 10x^2+10xy+37y^2.

37, 97, 157, 313, 337, 373, 433, 457, 613, 733, 757, 937, 1033, 1213, 1597, 1693, 1753, 1873, 1993, 2113, 2137, 2437, 2593, 2713, 2797, 2857, 2917, 3217, 3253, 3373, 3457, 3517, 3697, 3733, 3793, 4093, 4177, 4297, 4357, 4513, 4597, 4657

Offset

1,1

Comments

Discriminant=-1380. 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)

Formula

The primes are congruent to {37, 97, 157, 217, 313, 337, 373, 433, 457, 493, 517, 613, 697, 733, 757, 793, 937, 973, 1033, 1057, 1213, 1333} (mod 1380).

Mathematica

QuadPrimes2[10, -10, 37, 10000] (* see A106856 *)

Prog

(Magma) [ p: p in PrimesUpTo(6000) | p mod 1380 in [37, 97, 157, 217, 313, 337, 373, 433, 457, 493, 517, 613, 697, 733, 757, 793, 937, 973, 1033, 1057, 1213, 1333]]; // Vincenzo Librandi, Aug 02 2012

Crossrefs

Sequence in context: A098025 A256602 A142793 * A159231 A180518 A107999

Adjacent sequences: A139936 A139937 A139938 * A139940 A139941 A139942

Keyword

nonn,easy

Author

T. D. Noe, May 02 2008

Status

approved