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A140631
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Primes of the form 57x^2+18xy+193y^2.
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1
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193, 457, 1033, 2017, 2137, 2377, 3217, 3313, 3697, 4153, 5233, 6073, 6337, 7057, 7417, 7753, 8353, 9433, 10753, 11113, 11617, 11953, 12097, 12433, 12553, 13297, 14737, 15073, 16417, 16633, 16993, 17257, 17977, 19273, 20113, 20353, 20857
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OFFSET
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1,1
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COMMENTS
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Discriminant=-43680. Also primes of the form 148x^2+132xy+177y^2.
In base 12, the sequence is 141, 321, 721, 1201, 12X1, 1461, 1X41, 1E01, 2181, 24X1, 3041, 3621, 3801, 4101, 4361, 45X1, 4X01, 5561, 6281, 6521, 6881, 6E01, 7001, 7241, 7321, 7841, 8641, 8881, 9601, 9761, 9X01, 9EX1, X4X1, E1X1, E781, E941, 100X1, where X is 10 and E is 11. Moreover, the discriminant is -21340. - Walter Kehowski, Jun 01 2008
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LINKS
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MATHEMATICA
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Union[QuadPrimes2[57, 18, 193, 10000], QuadPrimes2[57, -18, 193, 10000]] (* see A106856 *)
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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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