Science:Math Exam Resources/Courses/MATH312/December 2005/Question 02
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True or False
Suppose that and with and . Then
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Let's suppose you were trying to prove this. We would start off with
for integers s and t. Then, we are asking if
so finally, this should suggest that if m and d are not coprime, we might be able to find a counter example.
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The claims is false.
Let so and .
Further, let so and .
So and . Then
and and so
These two values are not equivalent and thus this gives a counter example.