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].

-3, -1, 1 multiply to 3 which is prime, and they are 2 apart from each other in Arithmetic Progression. Anything else would be divisible by something, and therefore not prime. Prime numbers are only positive starting at 2, so this is all I can come up with.

Posted by Lawrence on 2003-08-24 18:41:08