A107217 Primes of the form x^2 + 99y^2.

103, 163, 199, 397, 421, 499, 757, 883, 907, 991, 1021, 1087, 1123, 1237, 1291, 1543, 1567, 1609, 1621, 1699, 1753, 1873, 2113, 2539, 2671, 2731, 2797, 2803, 2953, 3259, 3391, 3433, 3463, 3499, 3613, 3631, 3733, 3793, 3853, 3877, 3919

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[1, 0, 99, 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)\99), if(isprime(t=w+99*y^2), listput(v, t)))); Set(v) \\ Charles R Greathouse IV, Feb 10 2017

Crossrefs

Sequence in context: A141962 A309412 A115267 * A142942 A142098 A141873

Adjacent sequences: A107214 A107215 A107216 * A107218 A107219 A107220

Keyword

nonn,easy

Author

T. D. Noe, May 13 2005

Status

approved