A107150 Primes of the form x^2 + 44y^2.
53, 257, 269, 397, 401, 421, 617, 757, 773, 929, 1021, 1109, 1181, 1237, 1433, 1609, 1621, 1697, 1753, 1873, 2069, 2113, 2237, 2381, 2621, 2729, 2777, 2797, 2897, 2953, 3041, 3257, 3433, 3613, 3677, 3701, 3733, 3793, 3853, 3877, 4013, 4093
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, 44, 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=0, sqrtint((lim-w)\44), if(isprime(t=w+44*y^2), listput(v,t)))); Set(v) \\ Charles R Greathouse IV, Feb 09 2017
Comments