MathDB
2014 preRMO p13, 8n/(9999-n) an integer, if 1<=n<= 2014

Source:

August 9, 2019
number theoryIntegerdivides

Problem Statement

For how many natural numbers nn between 11 and 20142014 (both inclusive) is 8n9999−n\frac{8n}{9999-n} an integer?
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