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Cubic and Consecutive Concern (Posted on 2010-03-11) Difficulty: 2 of 5
Determine the probability that for a base ten positive integer N drawn at random between 2 and 101 inclusively, the number N3 + 1 is expressible in the form p*q*r, where p, q, r are three distinct positive integers such that p, q and r (in this order) corresponds to three consecutive terms of an arithmetic sequence.

No Solution Yet Submitted by K Sengupta    
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  Subject Author Date
Some ThoughtsPartial analytic solutionJer2010-03-11 22:52:58
Solutioncomputer solutionCharlie2010-03-11 13:45:10
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