A107153 Primes of the form 2x^2 + 23y^2.

2, 23, 31, 41, 73, 151, 223, 239, 257, 311, 449, 577, 593, 599, 601, 607, 647, 673, 719, 823, 863, 929, 967, 991, 1087, 1129, 1153, 1223, 1289, 1297, 1327, 1481, 1543, 1559, 1823, 1871, 1889, 1913, 2063, 2129, 2143, 2377, 2441, 2473, 2657, 2663

Offset

1,1

Comments

Discriminant = -184. 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, 23, 10000] (* see A106856 *)

Prog

(PARI) list(lim)=my(v=List(), w, t); for(x=0, sqrtint(lim\2), w=2*x^2; for(y=0, sqrtint((lim-w)\23), if(isprime(t=w+23*y^2), listput(v, t)))); Set(v) \\ Charles R Greathouse IV, Feb 09 2017

Crossrefs

Sequence in context: A106102 A053232 A065987 * A049544 A049568 A049556

Adjacent sequences: A107150 A107151 A107152 * A107154 A107155 A107156

Keyword

nonn,easy

Author

T. D. Noe, May 13 2005

Status

approved