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A139866
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Primes of the form 13x^2 + 12xy + 13y^2.
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2
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13, 41, 89, 97, 173, 181, 241, 257, 269, 293, 409, 433, 509, 521, 601, 661, 677, 773, 797, 829, 857, 941, 1021, 1097, 1153, 1181, 1193, 1237, 1249, 1321, 1361, 1433, 1553, 1609, 1637, 1693, 1741, 1777, 1861, 1889, 2029, 2089, 2141, 2161, 2273
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OFFSET
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1,1
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COMMENTS
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Discriminant = -532. See A139827 for more information.
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LINKS
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FORMULA
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The primes are congruent to {13, 33, 41, 69, 89, 97, 117, 129, 145, 173, 181, 185, 241, 257, 265, 269, 293, 297, 325, 341, 369, 409, 433, 489, 493, 509, 521} (mod 532).
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MATHEMATICA
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Union[QuadPrimes2[13, 12, 13, 10000], QuadPrimes2[13, -12, 13, 10000]] (* see A106856 *)
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PROG
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(Magma) [ p: p in PrimesUpTo(3000) | p mod 532 in {13, 33, 41, 69, 89, 97, 117, 129, 145, 173, 181, 185, 241, 257, 265, 269, 293, 297, 325, 341, 369, 409, 433, 489, 493, 509, 521}]; // Vincenzo Librandi, Jul 29 2012
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CROSSREFS
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KEYWORD
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nonn,easy
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AUTHOR
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STATUS
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approved
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