Fun With Very Large NumbersAuthors: Robert Baillie(Submitted on 19 May 2011)
Abstract: We give an example of a formula involving the sinc function that holds for every N = 0, 1, 2, …, up to about 10^102832732165, then fails for all larger N. We give another example that begins to fail after about N ~ exp(exp(exp(exp(exp(exp(e)))))). This number is larger than the Skewes numbers.
Fun With Very Large Numbers
By May 23, 2011 · ··
Reminds me of when I used to sit in engineering class idly finding formulas, like 69!, that came as close as possible to exceeding the mantissa limits of my old IT calculator. Good times.