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Quartic and Consecutive Concern (Posted on 2011-04-17) Difficulty: 2 of 5
N is an odd positive integer > 2 and each of a, b and c is a positive integer. It is known that; a, b and c (in this order), with a < b < c, corresponds to three consecutive terms of an arithmetic sequence such that:

N4 -1 = a*b*c

Prove that there are infinitely many solutions to the above equation.

No Solution Yet Submitted by K Sengupta    
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  Subject Author Date
Possible solutionbroll2011-04-18 13:43:46
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