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well-known problem from Austria-Poland: n^{10} + n^5 + 1

Source: Austria-Poland 2004, single competition, problem 4<br /> Aus

February 13, 2005
algebrapolynomialnumber theorynumber theory unsolved

Problem Statement

Determine all n∈Nn \in \mathbb{N} for which n10+n5+1n^{10} + n^5 + 1 is prime.