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a version of NIM (Posted on 2016-02-04) Difficulty: 3 of 5
Alice and Bob play a game in which they take turns removing stones from a heap that initially has n stones.
The number of stones removed at each turn must be one less than a prime number. Alice goes first.

The winner is the player who takes the last stone.

Prove that there are infinitely many values of n such that Bob has a winning strategy.

No Solution Yet Submitted by Ady TZIDON    
Rating: 3.0000 (1 votes)

Comments: ( You must be logged in to post comments.)
  Subject Author Date
re: Mapping out a bitSteve Herman2016-02-05 09:53:48
Some ThoughtsMapping out a bitJer2016-02-04 20:20:26
SolutionWho needs a strategy? (spoiler)Steve Herman2016-02-04 16:38:00
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