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Let  \(n\) be the integer such that \(0 \le n < 31\) and \(3n \equiv 1 \pmod{31}\) . What is \(\left(2^n\right)^3 - 2 \pmod{31}\)?

Express your answer as an integer from 0 to 30, inclusive.

 Feb 14, 2021
 #1
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I used a calculator, and got an answer of 17.

 Feb 14, 2021

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