4965 4 mod 5 4965 = 2 mod 7 4965 = 1 mod 11 Use your answers above to find the canonical representative of 4965 mod 385 by using the Chinese Remainder Theorem. [Note 385 = 5· 7· 11 and that Fermat's Little Theorem cannot be used to directly find 4965 mod 385 as 385 is not a prime and also since it is larger than the exponent.] 4965 mod 385 is

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section: Chapter Questions
Problem 57RE
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4965
mod 5
%D
1965 =
2
mod 7
4965 =
1
mod 11
Use your answers above to find the canonical representative of 4905 mod 385 by using the Chinese Remainder Theorem. [Note 385 = 5 · 7 · 11 and that Fermat's Little Theorem
cannot be used to directly find 4905 mod 385 as 385 is not a prime and also since it is larger than the exponent.]
4965 mod 385 is
4.
Transcribed Image Text:4965 mod 5 %D 1965 = 2 mod 7 4965 = 1 mod 11 Use your answers above to find the canonical representative of 4905 mod 385 by using the Chinese Remainder Theorem. [Note 385 = 5 · 7 · 11 and that Fermat's Little Theorem cannot be used to directly find 4905 mod 385 as 385 is not a prime and also since it is larger than the exponent.] 4965 mod 385 is 4.
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