Determine the probability that for a positive base ten integer N drawn at random between 2 and 201 inclusively, the number N3 - 1 is expressible in the form p*q*r, where p, q and r are three distinct positive integers such that p, q and r (in this order) corresponds to three consecutive terms of an arithmetic progression.
Is there an analytical solution to this?
It seems to me that there could be something more interesting than a brute force solution, given the close connections between the various numbers.
Posted by broll
on 2010-06-01 07:21:59