# Generalization of Catalan's conjecture

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Jesús Zambrano on 29 Mar 2020
Commented: Jesús Zambrano on 3 Apr 2020
I would like to have a simple MATLAB code that can give the solutions for the generalization of the Catalan's conjecture for a given n.
This conjecture and the generalization can be found in the following link
The link includes a table with the solutions I would like to get with a code.

Athul Prakash on 3 Apr 2020
You may explore File Exchange for solutions or related code from which you can build your own solution.
If you are attempting to come up with your own algorithm, have a look at 'factorIntegerPower'
You can use that to find all the perfect powers in a given sequence of numbers as follows:
a = 1:100;
b = findIntegerPower(a);
result = a(a~=b); % +result is a row vector containing all the perfect powers in the given range.
This can be a starting point for your solution.
Hope it helps!

#### 1 Comment

Jesús Zambrano on 3 Apr 2020
Thanks, Athul!
That is a good start but still a long way to go.

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