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2022-05-20, 16:15   #27
paulunderwood

Sep 2002
Database er0rr

22·1,063 Posts

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.