A107176 Primes of the form x^2 + 68y^2.
149, 281, 293, 353, 509, 613, 661, 733, 797, 1097, 1237, 1361, 1453, 1709, 2141, 2293, 2297, 2473, 2609, 2617, 2789, 3221, 3413, 3557, 3637, 3673, 4093, 4129, 4241, 4297, 4337, 4421, 4657, 4793, 5081, 5101, 5441, 5557, 5653, 5669, 5693
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, 68, 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)\68), if(isprime(t=w+68*y^2), listput(v,t)))); Set(v) \\ Charles R Greathouse IV, Feb 10 2017
Comments