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

Revision as of 00:49, 23 April 2018

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

is a power of $2016$ .

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

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	{{JBMO box\|year=2016\|num-b=2\|num-a=4\|five=}}		{{JBMO box\|year=2016\|num-b=2\|num-a=4\|five=}}
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		+	[[Category:Intermediate Number Theory Problems]]

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