The Problem of the Week is undergoing a revision to a more interactive model.  Check back in mid-September for new problems. 

About the Problem of the Week...

The Purdue Mathematics Department Problem of the Week will have a new format beginning this semester. We now will post a problem on the Problem of the Week webpage and then have a moderated discussion board for people to post answers. In order to encourage independent solutions and discussion, we will lock the discussion board for each new problem for some period of time (likely between 3-7 days) after the problem has been posted. As we optimize the format over the upcoming year, we hope that the new format can be as much fun as the old one. More news (and problems) to come!

About the founder of Problem of the Week

Michael Golomb, who passed away on April 9, 2008 at the age of 98, began the Problem of the Week program and ran it for many years. A few years ago, health problems forced him to stop administering the program, but he continued to provide the problems. And even now many of the problems appearing in Problem of the Week were provided by Michael Golomb. He created many of the problems himself, and collected (and often modified) the others from various sources.

For more information see Michael Golomb's obituary.


Problem History:

Semester Problem Solution
Spring 2015 Problem 13 Solution 13
Problem 12 Solution 12
Problem 11 Solution 11
Problem 10 Solution 10
Problem 9 Solution 9
Problem 8 Solution 8
Problem 7 Solution 7
Problem 6 Solution 6
Problem 5 Solution 5
Problem 4 Solution 4
Problem 3 Solution 3
Problem 2 Solution 2
Problem 1 Solution 1
Fall 2014 Problem 13 Solution 13
Problem 12 Solution 12
Problem 11 Solution 11
Problem 10 Solution 10
Problem 9 Solution 9
Problem 8 Solution 8
Problem 7 Solution 7
Problem 6 Solution 6
Problem 5 Solution 5
Problem 4 Solution 4
Problem 3 Solution 3
Problem 2 Solution 2
Problem 1 Solution 1
Spring 2014 Problem 13 Solution 13
Problem 12 Solution 12
Problem 11 Solution 11
Problem 10 Solution 10
Problem 9 Solution 9
Problem 8 Solution 8
Problem 7 Solution 7
Problem 6 Solution 6
Problem 5 Solution 5
Problem 4 Solution 4
Problem 3 Solution 3
Problem 2 Solution 2
Problem 1 Solution 1
Fall 2013 Problem 13 Solution 13
Problem 12 Solution 12
Problem 11 Solution 11
Problem 10 Solution 10
Problem 9 Solution 9 * revised
Problem 8 Solution 8
Problem 7 Solution 7
Problem 6 Solution 6
Problem 5 Solution 5
Problem 4 Solution 4
Problem 3 Solution 3
Problem 2 Solution 2
Problem 1 Solution 1
Spring 2013 Problem 13 Solution 13
Problem 12 Solution 12
Problem 11 Solution 11
Problem 10 Solution 10
Problem 9 Solution 9
Problem 8 Solution 8
Problem 7 Solution 7
Problem 6 Solution 6
Problem 5 Solution 5
Problem 4 Solution 4
Problem 3 Solution 3
Problem 2 Solution 2
Problem 1 Solution 1
Fall 2012 Problem 13 Solution 13
Problem 12 Solution 12
Problem 11 Solution 11
Problem 10 Solution 10
Problem 9 Solution 9
Problem 8 Solution 8
Problem 7 Solution 7
Problem 6 Solution 6
Problem 5 Solution 5
Problem 4 Solution 4
Problem 3 Solution 3
Problem 2 Solution 2
Problem 1 Solution 1
Spring 2012 Problem 14 Solution 14
Problem 13 Solution 13
Problem 12 Solution 12
Problem 11 Solution 11
Problem 10 Solution 10
Problem 9 Solution 9
Problem 8 Solution 8
Problem 7 Solution 7
Problem 6 Solution 6
Problem 5 Solution 5
Problem 4 Solution 4
Problem 3 Solution 3
Problem 2 Solution 2
Problem 1 Solution 1
Fall 2011 Problem 14 Solution 14
Problem 13 Solution 13
Problem 12 Solution 12
Problem 11 Solution 11
Problem 10 Solution 10
Problem 9 Solution 9
Problem 8 Solution 8
Problem 7 Solution 7
Problem 6 Solution 6
Problem 5 Solution 5
Problem 4 Solution 4
Problem 3 Solution 3
Problem 2 Solution 2
Problem 1 Solution 1
Spring 2011 Problem 14 Solution 14
Problem 13 Solution 13
Problem 12 Solution 12
Problem 11 Solution 11
Problem 10 Solution 10
Problem 9 Solution 9
Problem 8 Solution 8
Problem 7 Solution 7
Problem 6 Solution 6
Problem 5 Solution 5
Problem 4 Solution 4
Problem 3 Solution 3
Problem 2 Solution 2
Problem 1 Solution 1
Fall 2010 Problem 14 Solution 14
Problem 13 Solution 13
Problem 12 Solution 12 * revised
Problem 11 Solution 11
Problem 10 Solution 10
Problem 9 Solution 9
Problem 8 Solution 8
Problem 7 Solution 7
Problem 6 Solution 6
Problem 5 Solution 5
Problem 4 Solution 4
Problem 3 Solution 3
Problem 2 Solution 2
Problem 1 Solution 1
Spring 2010 Problem 14 Solution 14
Problem 13 Solution 13
Problem 12 Solution 12
Problem 11 Solution 11
Problem 10 Solution 10
Problem 9 Solution 9
Problem 8 Solution 8
Problem 7 Solution 7
Problem 6 Solution 6
Problem 5 Solution 5
Problem 4 Solution 4
Problem 3 Solution 3
Problem 2 Solution 2
Problem 1 Solution 1
Fall 2009 Problem 14 Solution 14
Problem 13 Solution 13
Problem 12 Solution 12
Problem 11 Solution 11
Problem 10 Solution 10
Problem 9 Solution 9
Problem 8 Solution 8
Problem 7 Solution 7
Problem 6 Solution 6 * revised
Problem 5 Solution 5 * revised
Problem 4 Solution 4 * revised
Problem 3 Solution 3 * revised
Problem 2 Solution 2
Problem 1 Solution 1
Spring 2009 Problem 14 Solution 14
Problem 13 Solution 13
Problem 12 Solution 12
Problem 11 Solution 11
Problem 10 Solution 10
Problem 9 Solution 9
Problem 8 Solution 8
Problem 7 Solution 7
Problem 6 Solution 6
Problem 5 Solution 5
Problem 4 Solution 4
Problem 3 Solution 3
Problem 2 Solution 2
Problem 1 Solution 1
Fall 2008 Problem 14 Solution 14
Problem 13 Solution 13
Problem 12 Solution 12
Problem 11 Solution 11
Problem 10 Solution 10
Problem 9 Solution 9
Problem 8 Solution 8
Problem 7 Solution 7
Problem 6 Solution 6
Problem 5 Solution 5
Problem 4 Solution 4
Problem 3 Solution 3
Problem 2 Solution 2
Problem 1 Solution 1
Spring 2008 Problem 14 Solution 14
Problem 13 Solution 13
Problem 12 Solution 12
Problem 11 Solution 11
Problem 10 Solution 10
Problem 9 Solution 9
Problem 8 Solution 8
Problem 7 Solution 7
Problem 6 Solution 6
Problem 5 Solution 5
Problem 4 Solution 4
Problem 3 Solution 3
Problem 2 Solution 2
Problem 1 Solution 1
Fall 2007 Problem 14 Solution 14
Problem 13 Solution 13
Problem 12 Solution 12
Problem 11 Solution 11
Problem 10 Solution 10
Problem 9 Solution 9
Problem 8 Solution 8
Problem 7 Solution 7
Problem 6 Solution 6
Problem 5 Solution 5
Problem 4 Solution 4
Problem 3 Solution 3
Problem 2 Solution 2
Problem 1 Solution 1
Spring 2007 Problem 14 Solution 14
Problem 13 Solution 13
Problem 12 Solution 12
Problem 11 Solution 11
Problem 10 Solution 10
Problem 9 Solution 9
Problem 8 Solution 8
Problem 7 Solution 7
Problem 6 Solution 6
Problem 5 Solution 5 * revised
Problem 4 Solution 4 * revised
Problem 3 Solution 3
Problem 2 Solution 2
Problem 1 Solution 1
Fall 2006 Problem 14 Solution 14
Problem 13 Solution 13
Problem 12 Solution 12
Problem 11 Solution 11
Problem 10 Solution 10
Problem 9 Solution 9
Problem 8 Solution 8
Problem 7 Solution 7
Problem 6 Solution 6
Problem 5 Solution 5
Problem 4 Solution 4
Problem 3 Solution 3
Problem 2 Solution 2
Problem 1 Solution 1
Spring 2006 Problem 14 Solution 14
Problem 13 Solution 13
Problem 12 Solution 12
Problem 11 Solution 11
Problem 10 Solution 10
Problem 9 Solution 9
Problem 8 Solution 8
Problem 7 Solution 7
Problem 6 Solution 6
Problem 5 Solution 5
Problem 4 Solution 4
Problem 3 Solution 3
Problem 2 Solution 2
Problem 1 Solution 1
Fall 2005 Problem 14 Solution 14
Problem 13 Solution 13
Problem 12 Solution 12
Problem 11 Solution 11
Problem 10 Solution 10
Problem 9 Solution 9
Problem 8 Solution 8
Problem 7 Solution 7
Problem 6 Solution 6
Problem 5 Solution 5
Problem 4 Solution 4
Problem 3 Solution 3
Problem 2 Solution 2
Problem 1 Solution 1
Spring 2005 Problem 14 Solution 14
Problem 13 Solution 13
Problem 12 Solution 12
Problem 11 Solution 11
Problem 10 Solution 10
Problem 9 Solution 9
Problem 8 Solution 8
Problem 7 Solution 7
Problem 6 Solution 6
Problem 5 Solution 5
Problem 4 Solution 4
Problem 3 Solution 3
Problem 2 Solution 2
Problem 1 Solution 1
Fall 2004 Problem 14 Solution 14
Problem 13 Solution 13
Problem 12 Solution 12
Problem 11 Solution 11
Problem 10 Solution 10
Problem 9 Solution 9
Problem 8 Solution 8
Problem 7 Solution 7
Problem 6 Solution 6
Problem 5 Solution 5
Problem 4 Solution 4
Problem 3 Solution 3
Problem 2 Solution 2
Problem 1 Solution 1
Spring 2004 Problem 14 Solution 14
Problem 13 Solution 13
Problem 12 Solution 12
Problem 10 Solution 10
Problem 9 Solution 9
Problem 8 Solution 8
Problem 7 Solution 7
Problem 6 Solution 6
Problem 5 Solution 5
Problem 4 Solution 4
Problem 3 Solution 3
Problem 2 Solution 2
Problem 1 Solution 1
Fall 2003 Problem 14 Solution 14
Problem 13 Solution 13
Problem 12 Solution 12
Problem 11 Solution 11
Problem 10 Solution 10
Problem 9 Solution 9
Problem 8 Solution 8
Problem 7 Solution 7
Problem 6 Solution 6
Problem 5 Solution 5
Problem 4 Solution 4
Problem 3 Solution 3
Problem 2 Solution 2
Problem 1 Solution 1
Spring 2003 Problem 14 Solution 14
Problem 13 Solution 13
Problem 12 Solution 12
Problem 11 Solution 11
Problem 10 Solution 10
Problem 9 Solution 9
Problem 8 Solution 8
Problem 7 Solution 7
Problem 6 Solution 6
Problem 5 Solution 5
Problem 4 Solution 4
Problem 3 Solution 3
Problem 2 Solution 2
Problem 1 Solution 1
Fall 2002 Problem 13 Solution 13
Problem 12 Solution 12
Problem 11 Solution 11
Problem 10 Solution 10
Problem 9 Solution 9
Problem 8 Solution 8
Problem 7 Solution 7
Problem 6 Solution 6
Problem 5 Solution 5
Problem 4 Solution 4
Problem 3 Solution 3
Problem 2 Solution 2
Problem 1 Solution 1
Spring 2002 Problem 14 Solution 14
Problem 13 Solution 13
Problem 12 Solution 12
Problem 11 Solution 11
Problem 10 Solution 10
Problem 9 Solution 9
Problem 8 Solution 8
Problem 7 Solution 7
Problem 6 Solution 6
Problem 5 Solution 5
Problem 4 Solution 4
Problem 3 Solution 3
Problem 2 Solution 2
Problem 1 Solution 1
Fall 2001 Problem 14 Solution 14
Problem 13 Solution 13
Problem 12 Solution 12
Problem 11 Solution 11
Problem 10 Solution 10
Problem 9 Solution 9
Problem 8 Solution 8
Problem 7 Solution 7
Problem 6 Solution 6
Problem 5 Solution 5
Problem 4 Solution 4
Problem 3 Solution 3
Problem 2 Solution 2
Problem 1 Solution 1
Spring 2001 Problem 14 Solution 14
Problem 13 Solution 13
Problem 12 Solution 12
Problem 11 Solution 11
Problem 10 Solution 10
Problem 9 Solution 9
Problem 8 Solution 8
Problem 7 Solution 7
Problem 6 Solution 6
Problem 5 Solution 5
Problem 4 Solution 4
Problem 3 Solution 3
Problem 2 Solution 2
Problem 1 Solution 1
Fall 2000 Problem 14 Solution 14
Problem 13 Solution 13
Problem 12 Solution 12
Problem 11 Solution 11
Problem 10 Solution 10
Problem 9 Solution 9
Problem 8 Solution 8
Problem 7 Solution 7
Problem 6 Solution 6
Problem 5 Solution 5
Problem 4 Solution 4
Problem 2 Solution 2
Problem 1 Solution 1