A new algorithm to search for small nonzero |x^3 - y^2| values
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.
math.NT↗
arXiv subjects
Publications and source records attributed to I. Jimenez Calvo.
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.
The papers shows an algorithm to search for approximations of reals to rationals of the form a/b^2 that runs on \sqrt(b) polynomial time steps.
Plots of quadratic residues display some features that are analyzed mathematically.