https://keith-mcnulty.medium.com/only-one-pair-of-distinct-integers-satisfy-this-equation-76ea45469a96

 
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Keith McNulty
 
Keith McNulty
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Mar 18

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Only One Pair of Distinct Positive Integers Satisfy The Equation n^m
= m^n

A beautiful analytic proof of a number theoretic result

For today's interesting problem, we are looking to find all positive
integer pairs n and m which satisfy the equation above, when n and m 
are distinct. If we play around with small n and m we can quickly see
that 24 = 16 = 42 , so the pair 2 and 4...

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Expert and Author in Applied Mathematics, Data Science, Statistics.
Also writes History, Science, Culture. Find me on Twitter or
keithmcnulty.org

 

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Keith McNulty

Keith McNulty

10.7K Followers

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Expert and Author in Applied Mathematics, Data Science, Statistics.
Also writes History, Science, Culture. Find me on Twitter or
keithmcnulty.org

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Books from this author

 
[1]

Handbook of Regression Modeling in People Analytics

2021

 
[1]

Handbook of Graphs and Networks in People Analytics

2022

 

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