() 2p n! (a) (") = 2 (mod p), where k for 0

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
Prove the congruence
2p
(a)
()
n!
= 2 (mod p), where
k
k!(n – k)!
for 0 <k < n.
(b) (Зр — 1)! 2р2 (mod p3)
Transcribed Image Text:2p (a) () n! = 2 (mod p), where k k!(n – k)! for 0 <k < n. (b) (Зр — 1)! 2р2 (mod p3)
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