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A139897
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Primes of the form 3*x^2+80*y^2.
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3
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3, 83, 107, 227, 347, 443, 467, 563, 587, 683, 827, 947, 1163, 1187, 1283, 1307, 1427, 1523, 1667, 1787, 1907, 2003, 2027, 2243, 2267, 2843, 2963, 3083, 3203, 3323, 3347, 3467, 3803, 3923, 3947, 4283, 4523, 4547, 4643, 4787, 5003, 5147
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OFFSET
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1,1
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COMMENTS
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Discriminant=-960. See A139827 for more information.
Except for 3, also primes of the form 27*x^2+24*x*y+32*y^2. See A140633. - T. D. Noe, May 19 2008
Excepting for the first term, 3, the members of this sequence seem to be terms of A123239 which are prime in k(i), k(rho) & k(sqrt(5)). [From A.K. Devaraj, Nov 30 2009]
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LINKS
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FORMULA
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Except for 3, primes congruent to 83 or 107 (mod 120).
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MATHEMATICA
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QuadPrimes2[3, 0, 80, 10000] (* see A106856 *)
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PROG
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(Magma) [3] cat [p: p in PrimesUpTo(6000) | p mod 120 in [83, 107]]; // Vincenzo Librandi, Jul 31 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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