Fermat's "Little" Theorem states that whenver n is prime and a is an integer,d- = 1mod na) If a = 29 and n =29658 =659, then efficiently computemod 659b) If a = 102 and n = 179, then efficiently compute102 102177 =mod 179Use the Extended Euclidean Algorithm to compute102 =mod 179.Then 102177mod 179.c) If a = 406 and n = 509, then efficiently compute%3D406$10mod 509

Given, Fermat's Theorem :- If n is a prime number and a denotes an integer such that a,n=1, then…

Fermat's "Little" Theorem states that whenver n is prime and a is an integer, d"-1 = 1 mod n a) If a = 29 and n = 659, then efficiently compute 29658 %3D mod 659 b) If a = 102 and n = 102 · 102177 = 179, then efficiently compute mod 179 Use the Extended Euclidean Algorithm to compute 102- = mod 179. Then 102177 = mod 179. c) If a = 406 and n = 509, then efficiently compute 406510 mod 509

Fermat's "Little" Theorem states that whenver n is prime and a is an integer, d"-1 = 1 mod n a) If a = 29 and n = 659, then efficiently compute 29658 %3D mod 659 b) If a = 102 and n = 102 · 102177 = 179, then efficiently compute mod 179 Use the Extended Euclidean Algorithm to compute 102- = mod 179. Then 102177 = mod 179. c) If a = 406 and n = 509, then efficiently compute 406510 mod 509

Elements Of Modern Algebra

8th Edition

ISBN:9781285463230

Author:Gilbert, Linda, Jimmie

Publisher:Gilbert, Linda, Jimmie

Chapter2: The Integers

Section2.6: Congruence Classes

Problem 25E

See similar textbooks