# Problem of the Month

- Everyone is welcome to participate, but only undergraduate OU students are eligible for the prizes.
- At the end of the academic year, a prize will be awarded to the undergraduate OU students with the most correct solutions.
- A complete solution to the problem must include a proof.
- Solutions to the Problem of the Month can be submitted in the Math Department's office (PHSC 423), or via email to nickmbmiller [at] ou [dot] edu
- Make sure that your submission includes your name and OU email.
- The deadline for submission is the last day of the month.
- The problem of the month during the summer months of May, June, July, and August will not be graded and are just for fun.

Winners of the academic year 2023/24 is Jacob Norris.

### September 2024

## Very square, very mindful

Show that there are infinitely many integers n such that n, n+1, and n+2 are all the sum of two squares. For example when n=0 we have 0=0^{2}+0^{2}, 1=0^{2}+1^{2},2=1^{2}+1^{2}.