English

A New Transcendental Number from $N^N$

Number Theory 2020-01-09 v2

Abstract

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

Keywords

Cite

@article{arxiv.1908.03855,
  title  = {A New Transcendental Number from $N^N$},
  author = {Hung Viet Chu},
  journal= {arXiv preprint arXiv:1908.03855},
  year   = {2020}
}

Comments

6 pages

R2 v1 2026-06-23T10:44:33.959Z