Who is one who lives alone and seeks god through prayer silence and penance?

The answer is a "Hermit".

A hermit is a man who lives alone and apart from society, for the most part for religious reasons. In Christianity, the term was initially connected to a Christian who carries on with the eremitic life out of a religious conviction, to be specific the Desert Theology of the Old Testament i.e., the 40 years meandering in the desert that was intended to cause a change in heart.