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 Easy ... by Alpha Tiger)

Negative numbers are never prime (except -1 which is), because -x has 1, -1, x, -x.

So -1 x 1 x 3 gives -3, which is divisibly by 1, -1, 3, -3.

Posted by Gamer on 2003-06-03 02:11:11