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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I am eight letters long - "12345678"
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My 34567 supports a plant.
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What word am I?

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Amazing Facts

Gambling

In Canada, a mathematical puzzle must be solved in order to win the lottery to classify it as a “game of skill” not gambling.