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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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Some Thoughts Puzzle Answer Comment 7 of 7 |
The best progression found  is {55000, 90000, 125000, 160000}.

 

  Posted by K Sengupta on 2024-02-03 10:50:56
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