Many of you may be familiar with PROMYS, a camp based out of Boston University which teaches number theory to high school students each summer. Students applying to the program are asked to submit their attempts at a problem sheet. The purpose of this is to see what ideas they come up with on their own, and they should not be asking for help on websites like this one. The due date for the application is March 15 2021, so the relevant timeframe is the next two weeks.

Here are the problems.

This is a request to keep an eye out for these problems. If they show up, please flag them and please contact promys@bu.edu if you see them.

I originally posted this request at math.meta.SE, and Gerry Myerson spotted that three of these problems had turned up on MO, so I am reposting here.