(6) (a) Please determine 32049 mod 103 (Hint: 費馬小定理) (b) Suppose that x mod 43=2 and x mod 67=13 Please Determine x mod 2881. (Hint: Chinese Remainder Theorem) (c) n! = n(n-1)(n-2) .... 1. Please determine 39! mod 43 (Hint: Wilson's Theorem) (12 scores)

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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(6)
(a) Please determine 3^2049 mod 103  (Hint: Fermat's Little Theorem)
(b) Suppose that x mod 43 = 2  and  x mod 67 = 13. Please determine x mod 2881 (Hint: Chinese Remainder Theorem)
(c) n! = n(n-1)(n-2)......1 . Please determine 39! mod 43 (Hint: Wilson’s Theorem)

(6) (a) Please determine
32049 mod 103
(Hint: 費馬小定理)
(b) Suppose that x mod 43=2
and x mod 67=13
Please Determine
x mod 2881.
(Hint: Chinese Remainder Theorem)
(c) n! = n(n-1)(n-2) .... 1. Please determine 39! mod 43
(Hint: Wilson's Theorem)
(12 scores)
Transcribed Image Text:(6) (a) Please determine 32049 mod 103 (Hint: 費馬小定理) (b) Suppose that x mod 43=2 and x mod 67=13 Please Determine x mod 2881. (Hint: Chinese Remainder Theorem) (c) n! = n(n-1)(n-2) .... 1. Please determine 39! mod 43 (Hint: Wilson's Theorem) (12 scores)
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