Difference between revisions of "2008 OIM Problems/Problem 4"
(Created page with "== Problem == Prove that there are no positive integers <math>x</math> and <math>y</math> such that <cmath>s^{2008}+2008!=21^y</cmath> ~translated into English by Tomas Diaz...") |
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Prove that there are no positive integers <math>x</math> and <math>y</math> such that | Prove that there are no positive integers <math>x</math> and <math>y</math> such that | ||
| − | <cmath> | + | <cmath>x^{2008}+2008!=21^y</cmath> |
~translated into English by Tomas Diaz. ~orders@tomasdiaz.com | ~translated into English by Tomas Diaz. ~orders@tomasdiaz.com | ||
Latest revision as of 15:32, 14 December 2023
Problem
Prove that there are no positive integers 
and 
such that
![\[x^{2008}+2008!=21^y\]](http://latex.artofproblemsolving.com/2/0/2/2026207e891339a1b45c23c12da28a179da6f8e2.png)
~translated into English by Tomas Diaz. ~orders@tomasdiaz.com
Solution
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