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is Is there a solution for the equation x^m-y^n=k in which k >1> 1?

catalan

The Catalan conjecture state that $x^m-y^n=1$ has only the solution $x=3,m=2,y=2,n=3$ this x=3, m=2, y=2, n=3$. This conjecture has was proved by preda mihailescu at 2004,but i Preda Mihailescu in 2004, but I want to know about the equation mentioned above, is . Is there a asolution of this?

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catalan conjecture state that $x^m-y^n=1$ has only solution $x=3,m=2,y=2,n=3$ this conjeture conjecture has proved by preda mihailescu at 2004,but i want to know about the equation mentioned above , is there a asolution of this?

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catalan conjecture state that $x^m-y^n=1$ has only solution $x=3,m=2,y=2,n=3$ this conjetured conjeture has proved by preda mihailescu at 2004,but i want to know about the equation mentioned above , is there a asolution of this?

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