MathDB
ILL 92 - Prove that n>125

Source:

September 2, 2010
number theorydecimal representationDigitsIMO ShortlistIMO Longlist

Problem Statement

Suppose that n>m≥1n > m \geq 1 are integers such that the string of digits 143143 occurs somewhere in the decimal representation of the fraction mn\frac{m}{n}. Prove that n>125.n > 125.
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