Class FermatCatalanConjectureTest

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

public class FermatCatalanConjectureTest
extends java.lang.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.
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

    Modifier and Type Method Description
    static void main​(java.lang.String[] args)  

    Methods inherited from class java.lang.Object

    clone, equals, finalize, getClass, hashCode, notify, notifyAll, toString, wait, wait, wait
  • Constructor Details

    • FermatCatalanConjectureTest

      public FermatCatalanConjectureTest()
  • Method Details

    • main

      public static void main​(java.lang.String[] args)