# On Sinha's note on perfect numbers

## TL;DR

This paper proves that odd perfect numbers cannot be of the forms 2^n+1 or n^n+1, contributing to the understanding of the structure of perfect numbers.

## Contribution

It establishes the non-existence of odd perfect numbers of specific algebraic forms, advancing the classification of perfect numbers.

## Key findings

- No odd perfect number of the form 2^n+1 exists.
- No odd perfect number of the form n^n+1 exists.

## Abstract

We shall show that there is no odd perfect number of the form $2^n+1$ or $n^n+1$.