A107172 Primes of the form 6x^2 + 11y^2.
11, 17, 107, 227, 281, 491, 563, 569, 593, 659, 761, 1187, 1289, 1361, 1427, 1451, 1481, 1553, 1811, 1889, 1913, 1931, 2153, 2243, 2273, 2411, 2441, 2459, 2657, 2939, 3203, 3209, 3329, 3449, 3467, 3593, 3761, 3779, 3803, 4259, 4289, 4457
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[6, 0, 11, 10000] (* see A106856 *)
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PARI
list(lim)=my(v=List(),w,t); for(x=0, sqrtint(lim\6), w=6*x^2; for(y=1, sqrtint((lim-w)\11), if(isprime(t=w+11*y^2), listput(v,t)))); Set(v) \\ Charles R Greathouse IV, Feb 10 2017
Comments