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 re: Umm by Bryan)

Aren't there many ones that fufil these conditions? For example 3,5,7, is one... Plus, you could get -7, -3, 1, or -5, -2, 1 as well.

I would pose another problem here. If all of the numbers in arithmetic sequence are over 3, then what is the answer? (Do there exist three integers over 3 in Arithmetic Progression whose product is prime? If Yes then what, if No then why?"

Posted by Gamer on 2003-06-02 09:24:20