olymmath

JBMO-SL 2016 N4

  • Answer

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

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

is a power of 2016 .

Dataset text NuminaMath olympiads. Quoted with source.

Also JBMO 2016 Problem 3.

Show the answer

(a, b, c)=(k+2, k+1, k), k \in \mathbb{Z}

Solutions

No solution is on olymmath yet. Official and human solutions come first when they arrive. AI solutions come after them, with a label.

Add a solution

Locator jbmo-sl/2016/n4 · Tag 923VWZZB9Q · Edit this page on GitHub · Keys: j next, k previous