FIRST CHALLENGE
John and Sara play a game. It is as follows: starting with Jonh, they take turns choosing a positive
integer less than 31 that is not equal to any of the numbers already chosen. The loser is
the first person to choose a number that shares a factor greater than 1 with any of the
previously chosen numbers.
Does either player have a winning strategy?
integer less than 31 that is not equal to any of the numbers already chosen. The loser is
the first person to choose a number that shares a factor greater than 1 with any of the
previously chosen numbers.
Does either player have a winning strategy?
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