Fun With Very Large Numbers
Number Theory
2015-08-04 v2
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.
Cite
@article{arxiv.1105.3943,
title = {Fun With Very Large Numbers},
author = {Robert Baillie},
journal= {arXiv preprint arXiv:1105.3943},
year = {2015}
}