Each of p and q is a positive integer, with p and q being relatively prime, such that:

p/q = 1 - 1/2 + 1/3 - 1/4 + ...... - 1/1318 + 1/1319

Prove that p is divisible by 1979.

(In reply to Solution by Brian Smith)

Excellent solution!  Nice problem!

Posted by Steve Herman on 2011-01-23 16:14:54