A107186 Primes of the form x^2 + 76y^2.

101, 157, 197, 313, 353, 593, 701, 709, 733, 853, 929, 1033, 1213, 1217, 1297, 1301, 1597, 1657, 1901, 1949, 2053, 2069, 2153, 2341, 2441, 2477, 2677, 2741, 2857, 2861, 2897, 3329, 3361, 3557, 3581, 3617, 3697, 3709, 3733, 3797, 4013, 4241

Offset

1,1

Comments

Discriminant = -304. 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, 76, 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)\76), if(isprime(t=w+76*y^2), listput(v, t)))); Set(v) \\ Charles R Greathouse IV, Feb 10 2017

Crossrefs

Sequence in context: A129563 A141927 A243365 * A142660 A123037 A142012

Adjacent sequences: A107183 A107184 A107185 * A107187 A107188 A107189

Keyword

nonn,easy

Author

T. D. Noe, May 13 2005

Status

approved