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Sum the Powers, Get Cube (Posted on 2024-07-19)

Does there exist any triplet (A,B, N) of integers that satisfy this equation:

1999^A + 2000^B = N³?

If so, provide an example.
If not, then prove that any solution to the given equation is non-existent.

No Solution Yet Submitted by K Sengupta

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Posted by Hedda Dunn on 2024-08-10 14:44:29

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