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Powers of 3 (Posted on 2016-08-25) Difficulty: 3 of 5
Find powers of 3 which can be written as the sum of the kth powers (k > 1) of two coprime integers.

No Solution Yet Submitted by Ady TZIDON    
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The only actual solution so far | Comment 4 of 5 |
It occurs to me that in my previous post I overlooked a legitimate solution:

3^2 = 1^3 + 2^3

The second power of 2 is the sum of k=3rd powers of 1 and 2, which are coprime.

  Posted by Jer on 2016-08-26 10:17:40
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