(5) Show that if n ɛ Z+ is odd which is divisible by k distinct primes, then the congruence x2 = 1 (mod n) has 2* distinct solutions in Z/nZ.
(5) Show that if n ɛ Z+ is odd which is divisible by k distinct primes, then the congruence x2 = 1 (mod n) has 2* distinct solutions in Z/nZ.
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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Transcribed Image Text:(5) Show that if n ɛ Z+ is odd which is divisible by k distinct primes,
then the congruence x² = 1 (mod n) has 2* distinct solutions in Z/nZ.
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