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Omni-MATH / Alice and Bob play the following game: starting with the number 2 written on a blackboard, each player in turn changes the current number n to a number n+p, where p is a prime divi…

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problem

Alice and Bob play the following game: starting with the number 22 written on a blackboard, each player in turn changes the current number nn to a number n+pn + p, where pp is a prime divisor of nn. Alice goes first and the players alternate in turn. The game is lost by the one who is forced to write a number greater than $\underbrace{22...2}_{2020}$. Assuming perfect play, who will win the game.
Plain-text mathematical notation (without MathML)
Alice and Bob play the following game: starting with the number 2 written on a blackboard, each player in turn changes the current number n to a number n+p, where p is a prime divisor of n. Alice goes first and the players alternate in turn. The game is lost by the one who is forced to write a number greater than $\underbrace{22...2}_{2020}$. Assuming perfect play, who will win the game.
Original LaTeX notation
Alice and Bob play the following game: starting with the number $2$ written on a blackboard, each player in turn changes the current number $n$ to a number $n + p$, where $p$ is a prime divisor of $n$. Alice goes first and the players alternate in turn. The game is lost by the one who is forced to write a number greater than $\underbrace{22...2}_{2020}$. Assuming perfect play, who will win the game.

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Source and history

task_id
263c7329-4c6b-5c19-94eb-24507a25c2b2
task_key
test--263c7329-4c6b-5c19-94eb-24507a25c2b2
task_revision_id
1
config / split
/ test

Official source

initial import