It is a simple matter to search for Kaprekar triples by applying Theorem 1. To do so, one only needs the factorizations of 10n −1 for n ≥ 1, which are easily available (for example see Brillhart et al. [1]).
In this section we will discuss Kaprekar triples of certain forms. For example, consider the set K(64M2) for some positive integer M. Since