FermatCatalanConjectureTest (org.matheclipse:matheclipse-gpl 3.0.0 API)

java.lang.Object
- de.tilman_neumann.jml.FermatCatalanConjectureTest

```
public class FermatCatalanConjectureTest
extends Object
```
Search for a^m + b^n = c^k with a,b,c , m,n,k integer, a,b,c coprime, and 1/m+1/n+1/k<1. The latter condition exludes (m,n,k) = (2,2,k), (2,3,3), (2,3,4), (2,3,5) with infinitely many solutions; (2,3,6); and (2,4,4) and (3,3,3) not having any solutions. If we find a solution with m,n,k > 2 then we have a counterexample to Beal's conjecture and win the 100k dollar prize. But note that the strong Beal conjecture states that there are no more solutions than the 10 already found.

Author:

Tilman Neumann

See Also:

"https://de.wikipedia.org/wiki/Fermat-Catalan-Vermutung", "http://mathworld.wolfram.com/Fermat-CatalanConjecture.html", "http://mathworld.wolfram.com/BealsConjecture.html"

- Constructor Summary
  
  Constructors
  Constructor Description
  
  FermatCatalanConjectureTest()
- Method Summary
  
  All Methods Static Methods Concrete Methods
  Modifier and Type Method Description
  
  static void main(String[] args)
  - Methods inherited from class java.lang.Object
    clone, equals, finalize, getClass, hashCode, notify, notifyAll, toString, wait, wait, wait

Constructor Detail
- FermatCatalanConjectureTest
```
public FermatCatalanConjectureTest()
```

Method Detail

main

public static void main(String[] args)