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A139948
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Primes of the form 19x^2+4xy+19y^2.
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2
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19, 103, 223, 271, 307, 523, 727, 859, 1039, 1063, 1123, 1279, 1291, 1447, 1483, 1531, 1543, 1699, 1783, 1879, 1951, 1987, 2287, 2371, 2467, 2551, 2707, 2719, 2803, 2971, 3079, 3163, 3307, 3331, 3391, 3583, 3727, 3919, 4003, 4231, 4339
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OFFSET
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1,1
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COMMENTS
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Discriminant=-1428. See A139827 for more information.
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LINKS
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FORMULA
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The primes are congruent to {19, 55, 103, 115, 223, 271, 307, 355, 451, 475, 523, 535, 559, 727, 859, 871, 943, 1039, 1063, 1123, 1147, 1279, 1291, 1375} (mod 1428).
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MATHEMATICA
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Union[QuadPrimes2[19, 4, 19, 10000], QuadPrimes2[19, -4, 19, 10000]] (* see A106856 *)
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PROG
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(Magma) [ p: p in PrimesUpTo(6000) | p mod 1428 in [19, 55, 103, 115, 223, 271, 307, 355, 451, 475, 523, 535, 559, 727, 859, 871, 943, 1039, 1063, 1123, 1147, 1279, 1291, 1375]]; // Vincenzo Librandi, Aug 02 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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