

A107008


Primes of the form x^2+24*y^2.


33



73, 97, 193, 241, 313, 337, 409, 433, 457, 577, 601, 673, 769, 937, 1009, 1033, 1129, 1153, 1201, 1249, 1297, 1321, 1489, 1609, 1657, 1753, 1777, 1801, 1873, 1993, 2017, 2089, 2113, 2137, 2161, 2281, 2377, 2473, 2521, 2593, 2617, 2689, 2713
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OFFSET

1,1


COMMENTS

Presumably this is the same as primes congruent to 1 mod 24.  N. J. A. Sloane, Jul 11 2008. Checked for all terms up to 2 million.  Vladimir Joseph Stephan Orlovsky, May 18 2011.
Discriminant=96.
Also primes of the forms x^2+48*y^2 and x^2+72*y^2. See A140633.  T. D. Noe, May 19 2008


LINKS

Vincenzo Librandi, N. J. A. Sloane and Ray Chandler, Table of n, a(n) for n = 1..10000 [First 1000 terms from Vincenzo Librandi, next 143 terms from N. J. A. Sloane]
N. J. A. Sloane et al., Binary Quadratic Forms and OEIS (Index to related sequences, programs, references)


MATHEMATICA

QuadPrimes[1, 0, 24, 10000] (* see A106856 *)


CROSSREFS

Sequence in context: A139972 A268426 A155573 * A141375 A140621 A143577
Adjacent sequences: A107005 A107006 A107007 * A107009 A107010 A107011


KEYWORD

nonn,easy


AUTHOR

T. D. Noe, May 09 2005


EXTENSIONS

Recomputed bfile, deleted incorrect Mma program.  N. J. A. Sloane, Jun 08 2014


STATUS

approved



