We want to determine all integers x₁,…,x₂₀₁₁ such that
If such integers exist, by Fermat’s little theorem we would have that xi⁷=xi (mod 7) for every i=1,…,2011. So 123=321 (mod 7) or 4=6 (mod 7) which is absurd.
A Diophantine sistem.
We want to determine all integers x₁,…,x₂₀₁₁ such that
If such integers exist, by Fermat’s little theorem we would have that xi⁷=xi (mod 7) for every i=1,…,2011. So 123=321 (mod 7) or 4=6 (mod 7) which is absurd.
Marco Damele 
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