(a) Show that o(668) = 20 (ø (668)). (b) Prove that if p is a prime greater than 2 then 2(p – 3)! = -1 mod p (c) Use Fermat little theorem to show that (a + b) = a² + ® mod prime p and any positive integer a. p for every odd

(a) Show that o(668) = 20 (ø (668)). (b) Prove that if p is a prime greater than 2 then 2(p – 3)! = -1 mod p (c) Use Fermat little theorem to show that (a + b) = a² + ® mod prime p and any positive integer a. p for every odd

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

(a) Show that ¢(668) = 20 (ø (668)).
(b) Prove that if p is a prime greater than 2 then 2(p – 3)! = -1 mod p
(c) Use Fermat little theorem to show that (a + b)' = a² + bP mod p for every odd
prime p and any positive integer a.

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