(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 determine32049 mod 103(Hint: 費馬小定理)(b) Suppose that x mod 43=2and x mod 67=13Please Determinex 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)

Fermat's Little Theorem states that if p is a prime number, then for any integer a, the number a^p -…

(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)

(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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Question

(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)

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