A new algorithm to search for small nonzero |x^3 - y^2| values

Details A new algorithm to search for small nonzero |x^3 - y^2| values A new algorithm to search for small nonzero |x^3 - y^2| values

2005-04-28

arxiv.org/abs/math/0504579v2

Math. Comp. 78(2009), 2435-2444

Mathematics

Number Theory

9 pages, 1 figure

Scientific paper

In relation to Hall's conjecture, a new algorithm is presented to search for
small k = |x^3 -y^2| values. Thirteen new values of k < x^(1/2) are reported.

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