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Chisinau MO p113 1975 R2 X odd if n <(44 + \sqrt{1975})^100 <n + 1

Source:

March 16, 2021
oddinequalitiesalgebra

Problem Statement

Prove that any integer nn satisfying the inequality n<(44+1975)100<n+1n <(44 + \sqrt{1975})^100 <n + 1 is odd.
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