Three Numbers Puzzle

Find three numbers such that

* When we multiply three numbers, we will get the prime numbers.
* The difference between the second and the first number is equal to the third and second.




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Okay before we begin with the puzzle, do keep in mind that you have to answer it quickly.

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There is a cryptic organization called Cicada 3301 that posts challenging puzzles online, possibly to recruit codebreakers and linguists.