  Multi-top quark production is a staple program at the LHC. Single-top and
$t\bar t$ productions are studied extensively, while current efforts are
zooming in on four-top search, where the Standard Model (SM) cross section is
at ${\cal O}(10)$ fb. In contrast, only at the fb level in SM, triple-top
production has not been targeted for study so far. But such a small cross
section makes it a unique probe for New Physics. Without the usual discrete
$Z_2$ symmetry, the general two Higgs doublet model (g2HDM) can naturally raise
the triple-top production to pb level. We illustrate how certain signal regions
of four-top search can be utilized to constrain triple-top production, but urge
a dedicated search. As an aside, we note that the CMS study at 13 TeV of scalar
$t\bar t$ resonance interfering with QCD production background indicate some
activity at 400 GeV. We comment that this could be explained in principle in
g2HDM via the extra top Yukawa coupling.
