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2016 JBMO Problems/Problem 3

Revision as of 01:49, 23 April 2018 by Leonariso (talk | contribs) (→‎See also)

Problem

Find all triplets of integers $(a,b,c)$ such that the number 

\[N = \frac{(a-b)(b-c)(c-a)}{2} + 2\]

is a power of $2016$.

(A power of $2016$ is an integer of form $2016^n$,where $n$ is a non-negative integer.)

Solution

See also

2016 JBMO (Problems • Resources)
Preceded by
Problem 2 		Followed by
Problem 4
1 • 2 • 3 • 4
All JBMO Problems and Solutions
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