You and your friend Lara are considering the linear congruence ax = b (mod m), where m = 6 x 11 x 233, b = 232 x 379 and a is an unspecified integer in the range 2645 < a < 2665. In this question you may assume that 11, 23 and 379 are prime numbers, and you may use the table of prime factorisations given at the bottom of the question. (a) Lara askes you to give all a in the range 2645
You and your friend Lara are considering the linear congruence ax = b (mod m), where m = 6 x 11 x 233, b = 232 x 379 and a is an unspecified integer in the range 2645 < a < 2665. In this question you may assume that 11, 23 and 379 are prime numbers, and you may use the table of prime factorisations given at the bottom of the question. (a) Lara askes you to give all a in the range 2645
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 58E: a. Prove that 10n(1)n(mod11) for every positive integer n. b. Prove that a positive integer z is...
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