The remainder, when 7103 is divided by 17, is ________

7 ≡ 7 mod 1772 ≡ -2 mod 1776 ≡ -8 mod 1778 ≡ -1 mod 17796 ≡ 1 mod 177103 ≡ 12 mod 17

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The remainder, when 7¹⁰³ is divided by 17, is ________

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answer is 12.

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7 $\equiv$ 7 mod 17
7² $\equiv$ -2 mod 17
7⁶ $\equiv$ -8 mod 17
7⁸ $\equiv$ -1 mod 17
7⁹⁶ $\equiv$ 1 mod 17
7¹⁰³ $\equiv$ 12 mod 17

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