MathDB

8.6

Part of VI Soros Olympiad 1999 - 2000 (Russia)

Problems(1)

sum of proper fractions (VI Soros Olympiad 1990-00 R1 8.6)

Source:

5/27/2024
Two players take turns writing down all proper non-decreasing fractions with denominators from 11 to 19991999 and at the same time writing a "++" sign before each fraction. After all such fractions are written out, their sum is found. If this amount is an integer number, then the one who made the entry last wins, otherwise his opponent wins. Who will be able to secure a win?
algebranumber theory