Every factorial is a power

The previous post mentioned that 24! ≈ 1024 and 25! ≈ 1025. For every n, there is some base b such that n! = bn. For example, 30! ≈ 1230. It’s easy to find b: What’s interesting is that b is very nearly a linear function of n. In hindsight it’s clear that this should […] The post Every factorial is a power first appeared on John D. Cook....