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[数论] 大佬能给个答案,谢谢啦

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大佬最帅 Posted at 2021-8-2 21:27:55 |Read mode
Last edited by hbghlyj at yesterday 03:24已知 $x, y$ 均为无平方因子的正整数,解不定方程
\[
x^y-y^x=x y(x+y)-2 .
\]
目前解出$(1,1)$和$(3,5)$不知还有没有答案

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