The abc Theorem

In 2012 Shinichi Mochizuki shared his four preprints proving the abc conjecture, which is concerned with number theory. In 2020 these manuscripts were accepted for publication, and the historical papers published in 2021:

Publications of the Research Institute for Mathematical Sciences, Volume 57, Number 1/2, 2021, Special Issue, url.

We introduce some notions and notation to state the abc theorem. The abc theorem asserts that
\(X[\kappa]\) is a finite set for any \(\kappa>1\).
We remark that We find some examples of tiriples \((a,b,c) \in X[\kappa]\) for \(\kappa=1.4\).

Examples of elements of \(X[1.4]\) abc.m   acb14.xlsx