A107184 Primes of the form x^2 + 75y^2.

79, 139, 271, 331, 349, 421, 661, 691, 739, 751, 829, 859, 1201, 1231, 1249, 1321, 1459, 1489, 1669, 1699, 1831, 1879, 2011, 2131, 2161, 2551, 2659, 2749, 2791, 3049, 3061, 3109, 3229, 3319, 3541, 3691, 3739, 3919, 3931, 4021, 4159, 4519

Offset

1,1

Comments

Discriminant = -300. 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, 75, 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)\75), if(isprime(t=w+75*y^2), listput(v, t)))); Set(v) \\ Charles R Greathouse IV, Feb 10 2017

Crossrefs

Sequence in context: A262493 A349234 A141997 * A250658 A029703 A142082

Adjacent sequences: A107181 A107182 A107183 * A107185 A107186 A107187

Keyword

nonn,easy

Author

T. D. Noe, May 13 2005

Status

approved