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6- Use Fermat's little theorem to find 9934 mod 31 and 13282 mod 23 Answer one of following (7 or 8) or both for extra credit:

6- Use Fermat's little theorem to find 9934 mod 31 and 13282 mod 23 Answer one of following (7 or 8) or both for extra credit:

Database System Concepts
Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
Section: Chapter Questions
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6 - Use Fermat's little theorem to find \(9^{934} \mod 31\) and \(13^{292} \mod 23\). Answer one of the following (7 or 8) or both for extra credit:
Transcribed Image Text:6 - Use Fermat's little theorem to find \(9^{934} \mod 31\) and \(13^{292} \mod 23\). Answer one of the following (7 or 8) or both for extra credit:
Expert Solution
Step 1: What is Fermat's little theorum?

Fermat's Little Theorem states that if "p" is a prime number and "a" is an integer not divisible by "p," then:

a^(p-1) ≡ 1 (mod p)




So if we want to find 9934 mod 31 and 13282 mod 23 using Fermat's Little Theorem. First, let's check if 31 and 23 are prime numbers.

31 is a prime number.

23 is also a prime number.

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