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Prove or disprove: There exist distinct integers a, b, c 2 such that a b (mod c), b c
Chapter 7, Problem 18(choose chapter or problem)
QUESTION:
Prove or disprove: There exist distinct integers a, b, c 2 such that a b (mod c), b c (mod a) and c a (mod b).
Questions & Answers
QUESTION:
Prove or disprove: There exist distinct integers a, b, c 2 such that a b (mod c), b c (mod a) and c a (mod b).
ANSWER:Step 1 of 2
The objective of the question is to identify that whether for three distinct integers that are greater than 1, holds. The condition holds if