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

Abstract

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.

arXiv comment9 pages, 1 figure

References in corpus (1)

• Rational points near curves and small nonzero |x^3-y^2| via lattice reduction