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The smallest solutions to the diophantine equation
Authors:Giovanni Resta  Jean-Charles Meyrignac
Institution:Istituto di Matematica Computazionale -CNR, Pisa, Italy.
Abstract:In this paper we discuss a method used to find the smallest nontrivial positive integer solutions to $a_1^6+a_2^6=b_1^6+b_2^6+b_3^6+b_4^6+b_5^6$. The method, which is an improvement over a simple brute force approach, can be applied to search the solution to similar equations involving sixth, eighth and tenth powers.

Keywords:Diophantine equations  computational number theory
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