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A140043
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Primes of the form 47x^2+38xy+47y^2.
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2
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47, 311, 383, 647, 719, 839, 983, 1511, 2399, 2663, 2687, 3023, 3191, 3359, 4007, 4079, 4679, 4871, 5039, 5087, 5351, 5591, 5879, 5927, 6263, 6359, 6719, 7703, 7727, 8039, 8111, 8231, 8783, 9551, 9623, 9791, 9887, 10079, 10223, 10631, 11399
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OFFSET
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1,1
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COMMENTS
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Discriminant=-7392. See A139827 for more information.
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LINKS
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FORMULA
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The primes are congruent to {47, 311, 335, 383, 551, 647, 719, 815, 839, 983, 1175, 1343, 1391, 1511, 1655} (mod 1848).
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MATHEMATICA
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Union[QuadPrimes2[47, 38, 47, 10000], QuadPrimes2[47, -38, 47, 10000]] (* see A106856 *)
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PROG
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(Magma) [ p: p in PrimesUpTo(12000) | p mod 1848 in {47, 311, 335, 383, 551, 647, 719, 815, 839, 983, 1175, 1343, 1391, 1511, 1655} ]; // Vincenzo Librandi, Aug 06 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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