A107149 Primes of the form 4x^2 + 11y^2.

11, 47, 103, 163, 199, 311, 419, 499, 587, 599, 683, 863, 883, 907, 911, 991, 1087, 1123, 1291, 1307, 1367, 1439, 1543, 1567, 1571, 1699, 1907, 2003, 2039, 2539, 2579, 2671, 2731, 2803, 2843, 2927, 3191, 3259, 3323, 3391, 3463, 3499, 3623

Offset

1,1

Comments

Discriminant = -176. 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[4, 0, 11, 10000] (* see A106856 *)

Prog

(PARI) list(lim)=my(v=List(), w, t); for(x=0, sqrtint(lim\4), w=4*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 09 2017

Crossrefs

Sequence in context: A031910 A009941 A226155 * A158463 A143830 A339504

Adjacent sequences: A107146 A107147 A107148 * A107150 A107151 A107152

Keyword

nonn,easy

Author

T. D. Noe, May 13 2005

Status

approved