MathDB

A

and

B

play a game, given an integer

N

A

writes down

1

first, then every player sees the last number written and if it is

n

then in his turn he writes

n+1

2n

, but his number cannot be bigger than

N

. The player who writes

N

wins. For which values of

N

does

B

win?
Proposed by A. Slinko & S. Marshall, New Zealand

Problem Statement