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MATH / Let n be the inverse of 2pmod{17}. That is, let n be the integer 0≤n<17 for which 2n equiv 1 pmod{17}. What is left(2^nright)^2 - 2 pmod{17}? Express your answer as an integer from…

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problem

Let nn be the inverse of $2\pmod{17}$. That is, let nn be the integer 0≤n<170\leq n < 17 for which $2n \equiv 1 \pmod{17}$. What is $\left(2^n\right)^2 - 2 \pmod{17}$? Express your answer as an integer from 00 to 1616, inclusive.
Plain-text mathematical notation (without MathML)
Let n be the inverse of $2\pmod{17}$. That is, let n be the integer 0≤n<17 for which $2n \equiv 1 \pmod{17}$. What is $\left(2^n\right)^2 - 2 \pmod{17}$?

Express your answer as an integer from 0 to 16, inclusive.
Original LaTeX notation
Let $n$ be the inverse of $2\pmod{17}$. That is, let $n$ be the integer $0\leq n < 17$ for which $2n \equiv 1 \pmod{17}$. What is $\left(2^n\right)^2 - 2 \pmod{17}$?

Express your answer as an integer from $0$ to $16$, inclusive.

level

Level 5

type

Number Theory

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Source and history

task_id
d9abd593-f135-5a2c-b34c-822d4b11f754
task_key
number~5ftheory--test--d9abd593-f135-5a2c-b34c-822d4b11f754
task_revision_id
1
config / split
number_theory / test

Official source

initial import