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Divisors of a quadratic polynomial

Source: Turkey Team Selection Test 2018 P1

March 27, 2018
quadraticspolynomialnumber theoryprime numbersC.R.T

Problem Statement

Prove that, for all integers a,ba, b, there exists a positive integer nn, such that the number n2+an+bn^2+an+b has at least 20182018 different prime divisors.
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