Class RiemannHypothesisTest

java.lang.Object
de.tilman_neumann.jml.primes.RiemannHypothesisTest

public class RiemannHypothesisTest
extends java.lang.Object
Tests Robins and Lagarias' Riemann hypothesis tests on colossally abundant numbers (CANs). From page 4 of http://www.math.lsa.umich.edu/~lagarias/doc/elementaryrh.pdf: "Robin showed that, if the Riemann hypothesis is false, then there will necessarily exist a counterexample to the inequality (1.2) that is a colossally abundant number; the same property can be established for inequality (1.1)" Inequality (1.1) (Lagarias): sigma(n) <= Hn + exp(Hn)*ln(Hn) Inequality (1.2) (Robin): sigma(n) <= exp(gamma) n ln(ln(n)) for each n >=5041
  • Constructor Summary

    Constructors
    Constructor Description
    RiemannHypothesisTest()  
  • Method Summary

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

    Methods inherited from class java.lang.Object

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

    • RiemannHypothesisTest

      public RiemannHypothesisTest()
  • Method Details

    • main

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