A number theory problem by sudaravan M
Let be a non-constant polynomial whose coefficients are positive integers. If divides for every natural number then which of this is value is true for ?
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1 solution
Note that P(n) 2015 (2015) = P(n) divides P(P(n) 2015) P(2015) for every positive integer n. But P(n) divides P(P(n) 2015) for every positive integer n. Therefore P(n) divides P(2015) for every positive integer n. Hence P(2015) = 0.