

A107181


Primes of the form 8x^2 + 9y^2.


8



17, 41, 89, 113, 137, 233, 257, 281, 353, 401, 449, 521, 569, 593, 617, 641, 761, 809, 857, 881, 929, 953, 977, 1049, 1097, 1193, 1217, 1289, 1361, 1409, 1433, 1481, 1553, 1601, 1697, 1721, 1889, 1913, 2081, 2129, 2153, 2273, 2297, 2393, 2417
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OFFSET

1,1


COMMENTS

Discriminant = 288. See A107132 for more information.
Also primes of the form 9x^2 + 6xy + 17y^2. See A140633.  T. D. Noe, May 19 2008
All terms are of the form x^2 + y^2, see A002144.  Zak Seidov, Jan 26 2014


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)


FORMULA

The primes are congruent to 17 (mod 24).  T. D. Noe, May 02 2008


MATHEMATICA

QuadPrimes2[8, 0, 9, 10000] (* see A106856 *)


PROG

(MAGMA) [ p: p in PrimesUpTo(5000)  p mod 24 eq 17 ]; // Vincenzo Librandi, Apr 19 2011
(PARI) list(lim)=my(v=List()); forprime(p=17, lim, if(p%24==17, listput(v, p))); Vec(v) \\ Charles R Greathouse IV, Feb 10 2017


CROSSREFS

Subsequence of A002144 (Pythagorean primes).
Cf. A139827.
Sequence in context: A235743 A299797 A087877 * A158014 A139879 A281792
Adjacent sequences: A107178 A107179 A107180 * A107182 A107183 A107184


KEYWORD

nonn,easy


AUTHOR

T. D. Noe, May 13 2005


STATUS

approved



