1- Find a solution of 621m + 483n = k, where k is the gcd of 621 and 483.

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 51E: In the congruences ax b (mod n) in Exercises 40-53, a and n may not be relatively prime. Use the...
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1- Find a solution of 621m + 483n = k, where k is the gcd of 621 and 483.

2- Calculate 364 modulo 67 using Fermats little theorem. (Hint: start with

ap−1 ≡ 1 (mod p).)

plz with details

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