PROBLEM OF THE MONTH

January 2007




Unfortunately, we did not receive any correct solutions to this month's problem.

Is there a positive integer representable in at least 100 ways as a sum of 2007 terms that are all perfect 2006th powers?

This month's prize will be awarded to the best explained, correct solution.


Submit your solution to the Mathematics Undergraduate Office (Math P-142) or electronically to problem@math.sunysb.edu by the due date. Acceptable electronic formats are: PDF, Postscript, DVI, (La)TeX, or just plain text. Please include your name and phone number, or preferably your email address.

Closing date: February 1st at 12 pm.