Show that if a is an integer, then 3 divides (a to the power 3) - a

I don't know how to use the mathematical software to express the question, I apologize for any inconvenience. Thanks for helping me out. :)

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- Sep 12th 2006, 10:28 PMsuedenationNumber theory
Show that if a is an integer, then 3 divides (a to the power 3) - a

I don't know how to use the mathematical software to express the question, I apologize for any inconvenience. Thanks for helping me out. :) - Sep 12th 2006, 11:07 PMCaptainBlack
- Sep 13th 2006, 08:24 AMThePerfectHacker
Furthermore, this is a faboulus beautiful elegant powerful super and amazing theorem of Fermat (my favorite mathemation).

That,

a^p-a

Is always divisible by p