1967 IMO Problems/Problem 3
Revision as of 13:32, 17 February 2018 by Durianaops (talk | contribs) (Created page with "Let <math>k, m, n</math> be natural numbers such that <math>m+k+1</math> is a prime greater than <math>n+1.</math> Let <math>c_s=s(s+1).</math> Prove that the product <cmath>(...")
Let 
be natural numbers such that 
is a prime greater than 
Let 
Prove that the product ![\[(c_{m+1}-c_k)(c_{m+2}-c_k)\cdots (c_{m+n}-c_k)\]](http://latex.artofproblemsolving.com/d/e/a/dea859fcc8d7deb3466f7fb2394c0800dc8a55e4.png)
is divisible by the product 
.
