  Epistasis can be defined as the statistical interaction of genes during the
expression of a phenotype. It is believed that it plays a fundamental role in
gene expression, as individual genetic variants have reported a very small
increase in disease risk in previous Genome-Wide Association Studies. The most
successful approach to epistasis detection is the exhaustive method, although
its exponential time complexity requires a highly parallel implementation in
order to be used. This work presents Fiuncho, a program that exploits all
levels of parallelism present in \textit{x86\_64} CPU clusters in order to
mitigate the complexity of this approach. It supports epistasis interactions of
any order, and when compared with other exhaustive methods, it is on average
358, 7 and 3 times faster than MDR, MPI3SNP and BitEpi, respectively.
