A319081 Number of primes of the form k^3 + n^2 for 0 <= k <= n.
0, 1, 1, 1, 2, 1, 1, 1, 0, 2, 4, 1, 2, 1, 3, 2, 4, 3, 3, 4, 3, 2, 2, 3, 5, 3, 4, 0, 3, 3, 2, 3, 7, 7, 1, 4, 4, 3, 2, 4, 9, 3, 5, 5, 3, 4, 7, 5, 5, 6, 4, 6, 4, 4, 11, 5, 5, 4, 6, 8, 6, 8, 4, 7, 0, 8, 8, 10, 7, 4, 3, 3, 12, 6, 13, 9, 3, 5, 5, 9, 11, 12, 7, 3, 8, 3, 8, 12, 11, 8, 4
Offset: 0
Keywords
Crossrefs
Cf. A066649.
Programs
-
PARI
for(n=0,90,a=sum(k=0,n,isprime(k^3+n^2));print1(a", "))
Formula
a(n) = 0 if n is a cube other than 1.