- #1
DerpyPenguin
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Homework Statement
Let n be an integer. Prove that the integers 6n-1, 6n+1, 6n+2, 6n+3, and 6n+5 are pairwise relatively prime.
Homework Equations
The Attempt at a Solution
I tried to prove that the first two integers in the list are relatively prime.
(6n-1)-(6n+1)=1 (trying to eliminate the n variable)
6n-1-6n-1=1
-2=1, which is obviously not true.
Not sure where to go from here. Is there another way to prove that two integers are relatively prime?