Answered: 2. Find the least nonnegative residue…

2. Find the least nonnegative residue modulo m for each integer n below: (a) n= 100!, m= 101 (b) n = 85!, m= 89 (c) n = 261 m = 13 3. Let p be an odd prime. Show 2(p - 3)! –1 mod p

Elements Of Modern Algebra

8th Edition

ISBN:9781285463230

Author:Gilbert, Linda, Jimmie

Publisher:Gilbert, Linda, Jimmie

Chapter2: The Integers

Section2.5: Congruence Of Integers

Problem 30E: 30. Prove that any positive integer is congruent to its units digit modulo .

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Question

2. Find the least nonnegative residue modulo m for each integer n below:
(a) n = 100!, m
101
(b) n = 85!, m = 89
(c) n =, m = 13
38
26!
3. Let p be an odd prime. Show 2(p- 3)! –1 mod p

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