Difference between revisions of "2016 JBMO Problems/Problem 3"

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[[Category:Intermediate Number Theory Problems]]

Revision as of 01:49, 23 April 2018

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 (ProblemsResources)
Preceded by
Problem 2
Followed by
Problem 4
1 2 3 4
All JBMO Problems and Solutions