|
|
A107211
|
|
Primes of the form 2x^2 + 47y^2.
|
|
2
|
|
|
2, 47, 79, 97, 431, 439, 521, 761, 769, 929, 1193, 1223, 1297, 1303, 1399, 1481, 1567, 1753, 1823, 1847, 2143, 2311, 2503, 2591, 2633, 2753, 2857, 3089, 3271, 3361, 3623, 3761, 3767, 3919, 4007, 4049, 4217, 4481, 4703, 5407, 5503, 5689
(list;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
OFFSET
|
1,1
|
|
COMMENTS
|
Discriminant = -376. See A107132 for more information.
|
|
LINKS
|
|
|
MATHEMATICA
|
QuadPrimes2[2, 0, 47, 10000] (* see A106856 *)
|
|
PROG
|
(PARI) list(lim)=my(v=List(), w, t); for(x=0, sqrtint(lim\2), w=2*x^2; for(y=0, sqrtint((lim-w)\47), if(isprime(t=w+47*y^2), listput(v, t)))); Set(v) \\ Charles R Greathouse IV, Feb 10 2017
|
|
CROSSREFS
|
|
|
KEYWORD
|
nonn,easy
|
|
AUTHOR
|
|
|
STATUS
|
approved
|
|
|
|