As Bennett
characterize the solutions of the diophantine equation x2n + y2n = z5 [2] in 2004,
Frits Beukers studied the diophantine equation Axp +Byq = Czr [1] in 1998 and
Nils Bruin [3] search the solution of the diophantine equation x9 + y8 = z3 and
xyz = 0 in 1999.