A107150 Primes of the form x^2 + 44y^2.

53, 257, 269, 397, 401, 421, 617, 757, 773, 929, 1021, 1109, 1181, 1237, 1433, 1609, 1621, 1697, 1753, 1873, 2069, 2113, 2237, 2381, 2621, 2729, 2777, 2797, 2897, 2953, 3041, 3257, 3433, 3613, 3677, 3701, 3733, 3793, 3853, 3877, 4013, 4093

Offset

1,1

Comments

Discriminant = -176. 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, 44, 10000] (* see A106856 *)

Prog

(PARI) list(lim)=my(v=List(), w, t); for(x=1, sqrtint(lim\1), w=x^2; for(y=0, sqrtint((lim-w)\44), if(isprime(t=w+44*y^2), listput(v, t)))); Set(v) \\ Charles R Greathouse IV, Feb 09 2017

Crossrefs

Sequence in context: A256339 A142357 A142061 * A036911 A241488 A140851

Adjacent sequences: A107147 A107148 A107149 * A107151 A107152 A107153

Keyword

nonn,easy

Author

T. D. Noe, May 13 2005

Status

approved