A107198 Primes of the form x^2 + 84y^2.

109, 337, 373, 457, 613, 709, 757, 877, 1117, 1297, 1381, 1453, 1597, 1873, 1933, 2017, 2221, 2269, 2293, 2389, 2437, 2713, 3049, 3061, 3109, 3313, 3361, 3469, 4057, 4153, 4561, 4909, 4957, 5077, 5233, 5413, 5569, 5581, 5737, 5821, 6217

Offset

1,1

Comments

Discriminant = -336. 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[1, 0, 84, 10000] (* see A106856 *)

Prog

(PARI) list(lim)=my(v=List(), w, t); for(x=1, sqrtint(lim\1), w=x^2; for(y=1, sqrtint((lim-w)\84), if(isprime(t=w+84*y^2), listput(v, t)))); Set(v) \\ Charles R Greathouse IV, Feb 10 2017

Crossrefs

Sequence in context: A183349 A238682 A070180 * A020354 A142846 A166560

Adjacent sequences: A107195 A107196 A107197 * A107199 A107200 A107201

Keyword

nonn,easy

Author

T. D. Noe, May 13 2005

Status

approved