  I conjecture an upper bound on the number of possible swampland conjectures
by comparing the entropy required by the conjectures themselves to the
Beckenstein-Hawking entropy of the cosmological horizon. Assuming of order 100
kilobits of entropy per conjecture, this places an upper bound of order
$10^{117}$ on the number of conjectures. I estimate the rate of production of
swampland conjectures by the number of papers listed on INSPIRE with the word
"swampland" in the title or abstract, which has been showing approximately
exponential growth since 2014. At the current rate of growth, the entropy bound
on the number of swampland conjectures can be projected to be saturated on a
timescale of order $10^{-8} H_0^{-1}$. I compare the upper bound from the
Swampland Conjecture Bound Conjecture (SCBC) to the estimated number of vacua
in the string landscape. Employing the duality suggested by AdS/CFT between the
quantum complexity of a holographic state and the volume of a Wheeler-Dewitt
spacetime patch, I place a conservative lower bound of order $\mathcal{N}_H >
10^{263}$ on the number of Hubble volumes in the multiverse which must be
driven to heat death to fully explore the string landscape via conjectural
methods.
