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POWER CHAIN. (Posted on 2010-07-22) Difficulty: 4 of 5
{75, 100, 125} is an example of an arithmetic progression of positive integers such that the n-th term is a perfect n-th power.
Find a longer sequence with this feature.

What is the longest you can get?
P.S. Trival solution(d=0) excluded.

No Solution Yet Submitted by Ady TZIDON    
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Comments: ( Back to comment list | You must be logged in to post comments.)
re: Further conditions? | Comment 2 of 6 |
(In reply to Further conditions? by ed bottemiller)

Ed,

I believe the 'n-th' term is referring to the 1st, 2nd, and 3rd terms being 1st, 2nd, and 3rd perfect powers. 75 = 75^1, 100 = 10^2, 125 = 5^3.

  Posted by Justin on 2010-07-22 14:48:20

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