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A139860
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Primes of the form 12x^2+12xy+13y^2.
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3
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13, 37, 157, 277, 373, 397, 613, 733, 757, 853, 877, 997, 1093, 1117, 1213, 1237, 1453, 1597, 1693, 1933, 2053, 2293, 2437, 2557, 2677, 2797, 2917, 3037, 3253, 3373, 3517, 3613, 3637, 3733, 3853, 3877, 4093, 4357, 4597, 4813, 4933, 4957
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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 forms 13x^2+2xy+37y^2 and 13x^2+4xy+28y^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 {13, 37} (mod 120).
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MATHEMATICA
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QuadPrimes2[12, -12, 13, 10000] (* see A106856 *)
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PROG
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(Magma) [ p: p in PrimesUpTo(6000) | p mod 120 in {13, 37}]; // 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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EXTENSIONS
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STATUS
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approved
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