MathDB
Find two polynomials

Source: Baltic Way 2023/16

November 11, 2023
algebrapolynomial

Problem Statement

Prove that there exist nonconstant polynomials f,gf, g with integer coefficients, such that for infinitely many primes pp, p∤f(x)−g(y)p \nmid f(x)-g(y) for any integers x,yx, y.
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