Difference between revisions of "2023 IOQM/Problem 4"

(Solution)
(Problem)
 
(9 intermediate revisions by 3 users not shown)
Line 3: Line 3:
 
<cmath>x^{4}=(x-1)(y^{3}-23)-1</cmath>
 
<cmath>x^{4}=(x-1)(y^{3}-23)-1</cmath>
  
Find the maximum possible value of <math>x + y</math>.
+
Find the maximum possible value of <math>x + y</math>
==Solution1(Diophantine)==
 

Latest revision as of 00:30, 1 September 2024

Problem

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

Find the maximum possible value of $x + y$