Problem 
of the 
Week 

PROBLEM 55

Take any two positive integers N and a.  Show that Na is the sum of N consecutive odd integers. 

As an easy example, note that

713 = 96889010407 =
13841287195 + 13841287197 + 13841287199 + 13841287201 + 13841287203 + 13841287205 + 13841287207.

Go to the Problem of the Week Home Page
You are visitor number  4034 to this page.