Package de.tilman_neumann.jml
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"
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Constructor Summary
Constructors Constructor Description FermatCatalanConjectureTest()
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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
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Constructor Details
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FermatCatalanConjectureTest
public FermatCatalanConjectureTest()
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Method Details
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main
public static void main(java.lang.String[] args)
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