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A107198
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Primes of the form x^2 + 84y^2.
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2
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109, 337, 373, 457, 613, 709, 757, 877, 1117, 1297, 1381, 1453, 1597, 1873, 1933, 2017, 2221, 2269, 2293, 2389, 2437, 2713, 3049, 3061, 3109, 3313, 3361, 3469, 4057, 4153, 4561, 4909, 4957, 5077, 5233, 5413, 5569, 5581, 5737, 5821, 6217
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OFFSET
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1,1
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COMMENTS
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Discriminant = -336. See A107132 for more information.
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LINKS
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MATHEMATICA
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QuadPrimes2[1, 0, 84, 10000] (* see A106856 *)
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PROG
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(PARI) list(lim)=my(v=List(), w, t); for(x=1, sqrtint(lim\1), w=x^2; for(y=1, sqrtint((lim-w)\84), if(isprime(t=w+84*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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