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Greatest Root Power (Posted on 2011-01-12) Difficulty: 3 of 5
Determine all possible pair(s) (M, N) of positive integers such that:

N[√N] = MM-1

Prove that these are the only possible pair(s) that exist.

Note: [x] denotes the greatest integer ≤ x.

No Solution Yet Submitted by K Sengupta    
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  Subject Author Date
Some Thoughtscomputer exploration--no proof (spoiler)Charlie2011-01-12 13:09:55
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