Dorian and Abigail play a game of tic-tac-toe. Dorian plays with crosses (x) and Abigail plays with noughts (o). However, we do not know who amongst Dorian and Abigail started this game.
In the game shown below, six moves have already been made:
o | o |
o | x |
x | x |
Who will win the game?
Whats the smallest number ("the magic number") that can satisfy these conditions?
- its positive
- it is not divisible by any number below 20 (excluding 1)
- the average of the digits is an even number between 3 and 9