MathDB
floor(u^n)-n is even for all n, does u exist?

Source: Putnam 1983 A5

September 14, 2021
number theoryalgebra

Problem Statement

Prove or disprove that there exists a positive real uu such that ⌊un⌋−n\lfloor u^n\rfloor-n is an even integer for all positive integers nn.
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