A carpenter has a wooden board that measures 14 meters long. He must cut the board into 6 pieces of equal length. How long, in m
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Fermat's little theorem states that
≡a mod p
If we divide both sides by a, then
≡1 mod p
=>
≡1 mod 17
≡1 mod 17
Rewrite
mod 17 as
mod 17
and apply Fermat's little theorem
mod 17
=>
mod 17
So we conclude that
≡1 mod 17
If we divide both sides by a, then
=>
Rewrite
and apply Fermat's little theorem
=>
So we conclude that