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3-addict valuation

Source: Southern Summer School, gr. 11

July 9, 2017
number theoryp-adic

Problem Statement

Prove that, for any integer n≥2n\geq 2, there exists an integer xx such that 3n∣x3+20173^n|x^3+2017, but 3n+1∤x3+20173^{n+1}\not | x^3+2017.
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