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A107200
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Primes of the form 2x^2 + 43y^2.
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2
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2, 43, 61, 331, 389, 419, 587, 691, 1093, 1109, 1187, 1237, 1637, 1723, 2069, 2179, 2221, 2269, 2309, 2557, 2699, 2837, 3253, 3259, 3491, 3533, 3571, 3581, 3821, 3907, 4093, 4259, 4283, 4451, 4603, 4651, 4733, 5051, 5189, 5387, 5531, 5653
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OFFSET
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1,1
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COMMENTS
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Discriminant = -344. See A107132 for more information.
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LINKS
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MATHEMATICA
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QuadPrimes2[2, 0, 43, 10000] (* see A106856 *)
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PROG
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(PARI) list(lim)=my(v=List(), w, t); for(x=0, sqrtint(lim\2), w=2*x^2; for(y=0, sqrtint((lim-w)\43), if(isprime(t=w+43*y^2), listput(v, t)))); Set(v) \\ Charles R Greathouse IV, Feb 10 2017
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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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