4. Suppose p = 2 (mod 5) and p is a prime number. Show that if 5 = 1 (mod p), then x = 1 (mod p).

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
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Chapter10: Sequences, Series, And Probability
Section10.2: Arithmetic Sequences
Problem 51E
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4. Suppose p = 2 (mod 5) and p is a prime number. Show that if 5 = 1 (mod p), then
x = 1 (mod p).
Transcribed Image Text:4. Suppose p = 2 (mod 5) and p is a prime number. Show that if 5 = 1 (mod p), then x = 1 (mod p).
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