Problem
of the
Week

PROBLEM 75


This week's problem is being handled by Professor Ollie Nanyes. 

When is the product of two consecutive natural numbers a non-trivial integer power;  that is, for which natural numbers n, t, k is

n(n+1) = tk, for natural numbers t and k > 1?

For heartier souls:  What about the product of r consecutive integers?


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