MathDB
Decimal representation

Source: Tuymaada 2015, Day 1, Problem 4, Junior League

July 10, 2017
number theory

Problem Statement

Prove that there exists a positive integer nn such that in the decimal representation of each of the numbers n\sqrt{n}, n3,...,n10\sqrt[3]{n},..., \sqrt[10]{n} digits 20152015 stand immediately after the decimal point.
A.Golovanov
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