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A140013
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Primes of the form 41x^2+38xy+41y^2.
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3
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41, 281, 569, 761, 809, 1289, 1361, 1481, 1601, 1889, 2081, 2129, 2441, 2609, 2801, 2969, 3209, 3329, 3449, 3761, 3929, 4001, 4241, 4289, 4649, 4721, 5081, 5441, 5849, 6089, 6569, 6761, 8081, 8609, 8681, 9041, 9209, 9281, 9521, 9929, 10529
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OFFSET
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1,1
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COMMENTS
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Discriminant=-5280. See A139827 for more information.
Also primes of the forms 41x^2+6xy+129y^2 and 41x^2+10xy+65y^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 {41, 161, 281, 329, 569, 689, 761, 809, 1121, 1289} (mod 1320).
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MATHEMATICA
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Union[QuadPrimes2[41, 38, 41, 10000], QuadPrimes2[41, -38, 41, 10000]] (* see A106856 *)
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PROG
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(Magma) [ p: p in PrimesUpTo(11000) | p mod 1320 in {41, 161, 281, 329, 569, 689, 761, 809, 1121, 1289} ]; // _Vincenzo Librandi-, Aug 05 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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