Mathematical and Physical Journal
for High Schools
Issued by the MATFUND Foundation
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Problem C. 1304. (September 2015)

C. 1304. Two players are playing the following game: They take turns in writing a natural number 1 to 10 on a blackboard. It is only allowed to write a number that does not divide any of the numbers written on the board previously. If a player is not able to write a new number on the board, he loses the game. Show that the starting player has a winning strategy.

(5 pont)

Deadline expired on October 12, 2015.


221 students sent a solution.
5 points:80 students.
4 points:19 students.
3 points:10 students.
2 points:9 students.
1 point:56 students.
0 point:45 students.
Unfair, not evaluated:2 solutions.

Problems in Mathematics of KöMaL, September 2015