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A139879
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Primes of the form 12x^2+12xy+17y^2.
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2
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17, 41, 89, 257, 353, 521, 593, 761, 857, 881, 929, 1049, 1097, 1193, 1217, 1361, 1433, 1553, 1601, 1697, 1721, 1889, 2273, 2393, 2441, 2609, 2729, 2777, 2897, 3041, 3209, 3449, 3617, 3881, 4049, 4073, 4217, 4241, 4289, 4409, 4457, 4721
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OFFSET
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1,1
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COMMENTS
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Discriminant=-672. See A139827 for more information.
Also primes of the forms 17x^2+10xy+41y^2 and 17x^2+4xy+20y^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, 41, 89} (mod 168).
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MATHEMATICA
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QuadPrimes2[12, -12, 17, 10000] (* see A106856 *)
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PROG
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(Magma) [ p: p in PrimesUpTo(6000) | p mod 168 in {17, 41, 89}]; // Vincenzo Librandi, Jul 30 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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EXTENSIONS
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STATUS
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approved
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