A new transcendental number from the digits of N^N

Abstract

We frst give a summary of the history of transcendental numbers, and then we use a nice technique by G. Dresden to find a new transcendental number. In particular, while previous work looked at the last non-zero digit of nⁿ, we consider the digit immediately before its last non-zero digit and show that the infinite decimal built from these digits is transcendental.