Find the Value
It's well known that:
Product_{[prime p > 1]}{1/(11/p^s)} = Sum_{[integer n > 0]}{1/n^s} = zeta(s)
for real s > 1,
and also that for s=2 this equals pi^2 / 6.
Using this or any other way, find the value of the product
for s=2 if the primes > 1 are replaced by the composites > 1.
(This isn't hard.)
You'll find, for s=2, the product over primes > the product over composites.
Is this true for all values of s > 1, or is there some s where the two products are equal?
