  We prove that generic Hitchin representations are strongly dense: every pair
of non commuting elements in their image generate a Zariski-dense subgroup of
SL_n(R). The proof uses a theorem of Rapinchuk, Benyash-Krivetz and Chernousov,
to show that the set of Hitchin representations is Zariski-dense in the variety
of representations of a surface group in SL_n(R).
