MathDB
Inmo 2015

Source: inmo 2015 #2

February 1, 2015
inductionnumber theory unsolvednumber theory

Problem Statement

For any natural number n>1n > 1 write the finite decimal expansion of 1n\frac{1}{n} (for example we write 12=0.49\frac{1}{2}=0.4\overline{9} as its infinite decimal expansion not 0.5)0.5). Determine the length of non-periodic part of the (infinite) decimal expansion of 1n\frac{1}{n}.