# What are the three nos. such that their product is prime and the difference between 2nd and 1st is equal to the difference between 3rd and 2nd ? Please provide its solution, may be it is a question...

**What are the three nos. such that their product is prime and the difference between 2nd and 1st is equal to the difference between 3rd and 2nd ? **

**Please provide its solution, may be it is a question of AP.**

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Expert Answers

degeneratecircle | Certified Educator

The only solutions in integers are `-3,-1,1` and `-1,1,3`, although the second solution is only valid if you consider `-3` to be prime. There may be more non-integer solutions.