MathDB
Easy problem

Source: 6th Mathematical Contest of Grand Duchy of Lithuania

October 5, 2014
number theory proposednumber theory

Problem Statement

Determine all positive integers n>1n > 1 for which n+D(n)n + D(n) is a power of 1010, where D(n)D(n) denotes the largest integer divisor of nn satisfying D(n)<nD(n) < n.
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