Let p be an odd prime. Show that if (p − 1) Xn, then 1 + 2 + + (p − 1) = 0 mod p

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.5: The Binomial Theorem
Problem 54E
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Let p be an odd prime. Show that if (p − 1) Xn, then
1 + 2 +
+ (p − 1) = 0 mod p
Transcribed Image Text:Let p be an odd prime. Show that if (p − 1) Xn, then 1 + 2 + + (p − 1) = 0 mod p
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