# On square numbers of some special forms

## TL;DR

This paper investigates special square numbers formed by concatenating two squares, proving infinitely many such numbers are not divisible by 10 and exploring their interesting properties.

## Contribution

It introduces the concept of concatenated square numbers, proving their infinitude under certain conditions and analyzing their unique properties.

## Key findings

- Infinitely many concatenated square numbers are not divisible by 10.
- Certain properties of these special square numbers are characterized.
- The paper provides new insights into the structure of concatenated squares.

## Abstract

We show that there are infinitely many square numbers , which are constrocted by putting two square numbers together , that non of them are divisible by $10$ . We also investigate the interesting properties of some square numbers.