Unformatted text preview: 2010 when divided by 7. 4. Using Euler’s Theorem, ﬁnd the last two digits of the number 3 2010 in the decimal representation. 5. If n is any integer, prove that n 2 ≡ 0 (mod 4) or n 2 ≡ 1 (mod 8). 6. Bonus Question! Find the last three digits of 2 2010 in the decimal representation....
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 Fall '10
 CIOABA
 Division, Remainder, Integers, Natural number, following equations

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