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A139858
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Primes of the form 8x^2+8xy+17y^2.
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4
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17, 113, 137, 233, 257, 353, 593, 617, 857, 953, 977, 1097, 1193, 1217, 1433, 1553, 1697, 1913, 2153, 2273, 2297, 2393, 2417, 2633, 2657, 2753, 2777, 2897, 3137, 3257, 3593, 3617, 3833, 4073, 4217, 4337, 4457, 4673, 4793, 4817, 4937, 5153
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OFFSET
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1,1
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COMMENTS
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Discriminant=-480. See A139827 for more information.
Also primes of the form 17x^2+14xy+17y^2, which has discriminant=-960. - T. D. Noe, May 07 2008
Also primes of the forms 17x^2+16xy+32y^2 and 17x^2+6xy+57y^2. See A140633. - T. D. Noe, May 19 2008
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LINKS
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FORMULA
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The primes are congruent to {17, 113} (mod 120).
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MATHEMATICA
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QuadPrimes2[8, -8, 17, 10000] (* see A106856 *)
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PROG
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(Magma) [ p: p in PrimesUpTo(6000) | p mod 120 in {17, 113}]; // 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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