Quote:
Originally Posted by retina
The infinite product of 2×2×2×2×2×2×2... = 0
If we set p = 2×2×2×2×2×2×2... we can see that 2×2×2×2×2×2×2... = 2×p
Leading to p = 2×p
Subtract p from both side; 0 = p
Giving 2×2×2×2×2×2×2... = 0
Sadly the Mersenne number 2^∞1 = 1, and therefore isn't prime.

\[2^{\aleph_0}  1 = \aleph_1\] and I am not sure primeness is defined for these.