olymmath

HMMT November 2022 H3

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Alice is bored in class, so she thinks of a positive integer. Every second after that, she subtracts from her current number its smallest prime divisor, possibly itself. After 2022 seconds, she realizes that her number is prime. Find the sum of all possible values of her initial number.

Dataset text NuminaMath olympiads. Quoted with source.

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8093

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