(S01E112 Angered over the suicide of a fellow prisoner (Number 73) resulting from relentless badgering from the new Number 2, Number 6 decides to pull out all the stops to avenge Number 73's death. What transpires is an elaborate game of cat and mouse whereby Number 6 gets Number 2 to question his own sanity.

At this point in the Prisoner story, it seems that Number 6 is not interested in escaping from the Village. That doesn't mean to say he's given up--but it appears that his motivation is more to frustrate and humiliate his captors.