1990 OIM Problems/Problem 3
Problem
Let , be a polynomial with and as integers.
a. If is a prime number such that divides and does not divide , show that, whatever the integer is, does not divide .
b. Let be a prime number other than 2, that divides . If divides for some integer , show that for every positive integer there exists an integer such that divides .
~translated into English by Tomas Diaz. ~orders@tomasdiaz.com
Solution
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