A107163 Primes of the form 7x^2 + 8y^2.

7, 71, 79, 191, 263, 463, 599, 631, 823, 863, 919, 991, 1031, 1327, 1367, 1471, 1583, 1607, 1831, 1999, 2087, 2111, 2143, 2311, 2543, 2647, 2671, 2767, 2879, 2927, 3119, 3623, 3767, 3823, 4327, 4447, 4463, 4663, 4783, 4799, 4951, 5023, 5119

Offset

1,1

Comments

Discriminant = -224. 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[7, 0, 8, 10000] (* see A106856 *)

Prog

(PARI) list(lim)=my(v=List(), w, t); for(x=1, sqrtint(lim\7), w=7*x^2; for(y=0, sqrtint((lim-w)\8), if(isprime(t=w+8*y^2), listput(v, t)))); Set(v) \\ Charles R Greathouse IV, Feb 09 2017

Crossrefs

Sequence in context: A045713 A090155 A326740 * A179784 A142037 A087390

Adjacent sequences: A107160 A107161 A107162 * A107164 A107165 A107166

Keyword

nonn,easy

Author

T. D. Noe, May 13 2005

Status

approved