Difference between revisions of "2023 IOQM/Problem 4"

m
Line 1: Line 1:
 
Let <math>x, y</math> be [[positive integers]] such that
 
Let <math>x, y</math> be [[positive integers]] such that
<math>x^{4}</math> = <math>(x 1)</math>(y^{3} 23)$ − 1.
+
<cmath>x^{4}=(x-1)(y^{3}-23)-1</cmath>
 +
 
 +
Find the maximum possible value of <math>x + y</math>.

Revision as of 21:29, 5 October 2023

Let $x, y$ be positive integers such that \[x^{4}=(x-1)(y^{3}-23)-1\]

Find the maximum possible value of $x + y$.