A107172 Primes of the form 6x^2 + 11y^2.

11, 17, 107, 227, 281, 491, 563, 569, 593, 659, 761, 1187, 1289, 1361, 1427, 1451, 1481, 1553, 1811, 1889, 1913, 1931, 2153, 2243, 2273, 2411, 2441, 2459, 2657, 2939, 3203, 3209, 3329, 3449, 3467, 3593, 3761, 3779, 3803, 4259, 4289, 4457

Offset

1,1

Comments

Discriminant = -264. See A107132 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)

Mathematica

QuadPrimes2[6, 0, 11, 10000] (* see A106856 *)

Prog

(PARI) list(lim)=my(v=List(), w, t); for(x=0, sqrtint(lim\6), w=6*x^2; for(y=1, sqrtint((lim-w)\11), if(isprime(t=w+11*y^2), listput(v, t)))); Set(v) \\ Charles R Greathouse IV, Feb 10 2017

Crossrefs

Sequence in context: A244853 A102870 A136721 * A090286 A226677 A056577

Adjacent sequences: A107169 A107170 A107171 * A107173 A107174 A107175

Keyword

nonn,easy

Author

T. D. Noe, May 13 2005

Status

approved