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 perhaps by Alan)

One and zero are both neither prime nor composite. The definition of a prime number is not one whose only factors are itself and 1; rather, a prime number is a number with exactly two whole number factors. 1 has only one whole factor, while zero has an infinite number if you consider it to be its own factor.

Anyway, Ravi's note (which I had some trouble deciphering) clearly indicates that the arithmetic progression in question is one in which the difference between subsequent terms is equal.

Posted by DJ on 2003-06-02 11:41:39