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Source: Japan 99

February 5, 2004
functionalgebrapolynomialalgebra unsolved

Problem Statement

Prove that the polynomial f(x)=(x2+1)(x2+22)⋯(x2+n2)+1f(x)=(x^2+1)(x^2+2^2)\cdots (x^2+n^2)+1 cannot be expressed as a product of two polynomials with integer coefficients with degree greater than 11.
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