OFFSET
1,1
COMMENTS
If the area of a single face of the cube is p, the volume is V=(sqrt(p))^3, and we look for cases where floor(V) and p are both prime.
EXAMPLE
If the area of the cube is the prime p = 5, the side length is sqrt(5), the volume is 5^(3/2) = 11.18033..., and the truncated (floor) value of the volume is 11, a prime, which puts the prime p=5 to the sequence.
PROG
(PARI) g(n) = forprime(x=2, n, y=floor(sqrt(x)^3); if(isprime(y), print1(x, ", ")))
CROSSREFS
KEYWORD
easy,nonn
AUTHOR
Cino Hilliard, Jun 13 2005
EXTENSIONS
Offset set to 1, example expanded - R. J. Mathar, Sep 16 2009
STATUS
approved