# A New Transcendental Number from $N^N$

## TL;DR

This paper introduces a novel transcendental number derived from the digit before the last non-zero digit of n^n, expanding the understanding of transcendental numbers using a new technique.

## Contribution

It presents a new transcendental number constructed from specific digits of n^n, employing a technique by G. Dresden, advancing the study of transcendental numbers.

## Key findings

- The infinite decimal formed from the digits before the last non-zero digit of n^n is transcendental.
- The paper extends previous work by analyzing a different digit position in n^n.
- Uses a technique by G. Dresden to prove transcendence.

## 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 $n^n$, we consider the digit right before its last non-zero digit and show that the infinite decimal built from these digits is transcendental.