What is the inverse of 100 modulo 10001? (Give your answer as a nonnegative integer that is less than 10001.)

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What is the inverse of 100 modulo 10001? (Give your answer as a nonnegative integer that is less than 10001.)

Mellie Jul 30, 2015

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Best Answer

What is the inverse of 100 modulo 10001? (Give your answer as a nonnegative integer that is less than 10001.)

$\small{\text{ The inverse of $100 \pmod{10001} = \mathbf{ 9901 }$, because $100 \cdot 9901 \equiv 1 \pmod {10001}$ }}$

heureka Jul 31, 2015

heureka · Answer 1 · 2015-07-31T05:08:32

What is the inverse of 100 modulo 10001? (Give your answer as a nonnegative integer that is less than 10001.)

$\small{\text{ The inverse of $100 \pmod{10001} = \mathbf{ 9901 }$, because $100 \cdot 9901 \equiv 1 \pmod {10001}$ }}$