Do there exist three integers in Arithmetic Progression whose product is prime ? If Yes, then what are the three integers and if No, then why ?

[Note: The numbers: x1, x2, x3, x4, x5, x6,........ are said to be in Arithmetic Progression if (x2 - x1) = (x3 - x2) = (x4 - x3) = (x5 - x4) = ........ and so on].

(In reply to Umm by DJ)

Based on what DJ said, I see that -3, -1, and 1 multiply to 3, meeting the requirement.

Posted by Bryan on 2003-06-02 08:30:10