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Search: id:A107008
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| A107008 |
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Primes of the form x^2+24y^2. |
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+0
32
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| 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
(list; graph; listen)
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OFFSET
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1,1
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COMMENT
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Presumably this is the same as Primes congruent to 1 mod 24. - N. J. A. Sloane (njas(AT)research.att.com), Jul 11 2008
Discriminant=-96. See A106856 for more information.
Also primes of the forms x^2+48y^2 and x^2+72y^2. See A140633. - T. D. Noe (noe(AT)sspectra.com), May 19 2008
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MATHEMATICA
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f[x_, y_]:=x^2+24*y^2; lst={}; Do[Do[p=f[x, y]; If[PrimeQ[p]&&p>0, AppendTo[lst, p]], {y, -4!, 3*4!}], {x, -4!, 3*4!}]; Take[Union[lst], 90] [From Vladimir Orlovsky (4vladimir(AT)gmail.com), Jun 30 2009]
QuadPrimes[1, 0, 24, 10000] (* see A106856 *)
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CROSSREFS
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Sequence in context: A139972 A155573 A141375 this_sequence A140621 A143577 A146354
Adjacent sequences: A107005 A107006 A107007 this_sequence A107009 A107010 A107011
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KEYWORD
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nonn,easy
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AUTHOR
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T. D. Noe (noe(AT)sspectra.com), May 09 2005
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