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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.)
Further conditions? | Comment 1 of 6
It would seem to be simple to create a set of any length, e.g. by just finding any nth power, then working back by n-1 subtractions of 1 or any other constant.  e.g. (504,505,506,507,508,509,510,511,512) with 512=2**9.
  Posted by ed bottemiller on 2010-07-22 14:40:13
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