A107209 Primes of the form x^2 + 92y^2.

101, 173, 317, 449, 593, 809, 821, 829, 853, 877, 997, 1097, 1117, 1181, 1453, 1481, 1553, 1613, 1669, 1697, 1789, 1889, 1913, 2053, 2309, 2381, 2393, 2677, 2693, 2741, 2969, 3037, 3229, 3313, 3361, 3389, 3433, 3617, 3637, 3673, 3821, 3853

Offset

1,1

Comments

Discriminant = -368. 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, 92, 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)\92), if(isprime(t=w+92*y^2), listput(v, t)))); Set(v) \\ Charles R Greathouse IV, Feb 10 2017

Crossrefs

Sequence in context: A142012 A067860 A140037 * A076613 A045978 A325071

Adjacent sequences: A107206 A107207 A107208 * A107210 A107211 A107212

Keyword

nonn,easy

Author

T. D. Noe, May 13 2005

Status

approved