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x^2 + x + 1 divides x^{2^n} + x + 1 ---- 2019 Ecuador NMO (OMEC) 3.1

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September 18, 2021
algebrapolynomial

Problem Statement

Find how many integer values 3≤n≤993\le n \le 99 satisfy that the polynomial x2+x+1x^2 + x + 1 divides x2n+x+1x^{2^n} + x + 1.
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