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