# Interesting Problem Workshop

The Interesting Problem Workshop is an informal gathering of faculty and students to discuss problems of interest
in mathematics and related areas of all levels of challenge.

# Spring 2017

In Spring 2017 we are meeting in Fitzelle 207 on Fridays at 3:30 pm (or at 4:00 pm on weeks when there is a
Department Seminar).

Some interesting problems:

- Find a 10 digit number such that the leftmost digit is the number of zeros appearing in the number, the next
digit is the number of ones, the next is the number of twos, and so on, up to the rightmost digit, which is the number of nines
appearing in the number.
- Let \(N\) be one more than the product of four consecutive positive integers. What can you say about \(N\) and why?
(From: A Friendly Mathematics Competition, P1983-7)
- Find all pairs of positive integers \((a,b)\) such that \(a-b\) is prime and \(ab\) is a perfect square. (From the Purdue
University problem of the week.)