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: One and Only by Charlie)

If 1 is 'never' a prime number then of course the 1,1,1 solution doesn't work. However, 'often excluded' and 'almost always excluded' still leave enough of a window for 1 to be considered a prime number 'sometimes'.

Posted by Sanjay on 2003-06-03 09:50:36