A107216 Primes of the form 9x^2 + 11y^2.

11, 47, 53, 257, 269, 311, 401, 419, 587, 599, 617, 683, 773, 863, 911, 929, 1109, 1181, 1307, 1367, 1433, 1439, 1571, 1697, 1907, 2003, 2039, 2069, 2237, 2381, 2579, 2621, 2729, 2777, 2843, 2897, 2927, 3041, 3191, 3257, 3323, 3623, 3677

Offset

1,1

Comments

Discriminant = -396. 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[9, 0, 11, 10000] (* see A106856 *)

Prog

(PARI) list(lim)=my(v=List(), w, t); for(x=0, sqrtint(lim\9), w=9*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: A179786 A238584 A033209 * A158809 A279768 A238665

Adjacent sequences: A107213 A107214 A107215 * A107217 A107218 A107219

Keyword

nonn,easy

Author

T. D. Noe, May 13 2005

Status

approved