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2000 OIM Problems/Problem 3

Revision as of 16:15, 13 December 2023 by Tomasdiaz (talk | contribs) (Created page with "== Problem == Find all solutions to the equation <cmath>(x + 1)^y - x^z = 1</cmath> for <math>x, y, z</math> integers greater than 1. ~translated into English by Tomas Diaz...")
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Problem

Find all solutions to the equation

\[(x + 1)^y - x^z = 1\]

for $x, y, z$ integers greater than 1.

~translated into English by Tomas Diaz. ~orders@tomasdiaz.com

Solution

This problem needs a solution. If you have a solution for it, please help us out by adding it.

See also

https://www.oma.org.ar/enunciados/ibe15.htm

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