Problem of the Month

• Everyone is welcome to participate, but only undergraduate OU students are eligible for the prizes.
• If there is more than one correct submission, the evaluation committee will select a winner.
• 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 jachavezd [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.

November 2021

Finding squares

Prove that in a number with 2021 digits, we can find a block of one or more consecutive digits, whose product is a perfect square.

Example: If the digits 623 appear consecutively in the number, we could take that block since (6)(2)(3)=36.