A107183 Primes of the form 3x^2 + 25y^2.

3, 37, 73, 103, 127, 457, 463, 547, 607, 613, 643, 673, 733, 907, 967, 997, 1213, 1237, 1423, 1483, 1597, 1627, 1657, 1723, 1747, 1753, 1987, 1993, 2053, 2287, 2377, 2467, 2503, 2647, 2677, 2683, 2953, 3037, 3187, 3217, 3253, 3457, 3583

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[3, 0, 25, 10000] (* see A106856 *)

Prog

(PARI) list(lim)=my(v=List(), w, t); for(x=1, sqrtint(lim\3), w=3*x^2; for(y=0, sqrtint((lim-w)\25), if(isprime(t=w+25*y^2), listput(v, t)))); Set(v) \\ Charles R Greathouse IV, Feb 10 2017

Crossrefs

Sequence in context: A056398 A092074 A183556 * A031919 A151730 A300432

Adjacent sequences: A107180 A107181 A107182 * A107184 A107185 A107186

Keyword

nonn,easy

Author

T. D. Noe, May 13 2005

Status

approved