MathDB

The number

10^{2007}

is written on the blackboard. Anne and Berit play a two player game in which the player in turn performs one of the following operations: 1) replace a number

x

on the blackboard with two integers

a,b>1

such that

ab=x

. 2) strike off one or both of two equal numbers on the blackboard.
The person who cannot perform any operation loses. Who has the winning strategy if Anne starts?

Problem Statement