A107214 Primes of the form 2x^2 + 49y^2.

2, 67, 211, 337, 443, 449, 491, 499, 569, 641, 683, 953, 1019, 1163, 1201, 1297, 1409, 1499, 1873, 2377, 2473, 2683, 2689, 2753, 2851, 3049, 3329, 3803, 4001, 4019, 4099, 4139, 4201, 4211, 4481, 4547, 4657, 4673, 4691, 4937, 4993, 5441

Offset

1,1

Comments

Discriminant = -392. 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[2, 0, 49, 10000] (* see A106856 *)

Prog

(PARI) list(lim)=my(v=List(), w, t); for(x=1, sqrtint(lim\2), w=2*x^2; for(y=0, sqrtint((lim-w)\49), if(isprime(t=w+49*y^2), listput(v, t)))); Set(v) \\ Charles R Greathouse IV, Feb 10 2017

Crossrefs

Sequence in context: A106998 A275114 A217599 * A371509 A174602 A154880

Adjacent sequences: A107211 A107212 A107213 * A107215 A107216 A107217

Keyword

nonn,easy

Author

T. D. Noe, May 13 2005

Status

approved