On integer solutions to x5 - (x+1)5 -(x+2)5 +(x+3)5 = 5m + 5n
Abstract
We give an infinite number of integer solutions to the Diophantine equation x5 - (x+1)5 -(x+2)5 +(x+3)5 = 5m + 5n, and some solutions to some similar equations.
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