A107198 Primes of the form x^2 + 84y^2.
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
Offset: 1
Links
- Vincenzo Librandi and Ray Chandler, Table of n, a(n) for n = 1..10000 [First 1000 terms from Vincenzo Librandi]
- N. J. A. Sloane et al., Binary Quadratic Forms and OEIS (Index to related sequences, programs, references)
Programs
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Mathematica
QuadPrimes2[1, 0, 84, 10000] (* see A106856 *)
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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
Comments