MathDB
2021 Team #3

Source:

June 27, 2021
number theoryComposite

Problem Statement

Let mm be a positive integer. Show that there exists a positive integer nn such that each of the 2m+12m+1 integers 2n−m,2n−(m−1),…,2n+(m−1),2n+m 2^{n}-m,2^{n}-(m-1),\ldots,2^{n}+(m-1),2^{n}+m is positive and composite.
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