  We report the first results from a search for transiting warm Jupiter
exoplanets - gas giant planets receiving stellar irradiation below about $10^8$
erg s$^{-1}$ cm$^{-2}$, equivalent to orbital periods beyond about 10 days
around Sun-like stars. We have discovered two transiting warm Jupiter
exoplanets initially identified as transiting candidates in ${\it K2}$
photometry. K2-114b has a mass of $1.85^{+0.23}_{-0.22}\ M_J$, a radius of
$0.942^{+0.032}_{-0.020}\ R_J$, and an orbital period of 11.4 days. K2-115b has
a mass of $0.84^{+0.18}_{-0.20}\ M_J$, a radius of $1.115^{+0.057}_{-0.061}\
R_J$, and an orbital period of 20.3 days. Both planets are among the longest
period transiting gas giant planets with a measured mass, and they are orbiting
relatively old host stars. Both planets are not inflated as their radii are
consistent with theoretical expectations. Their position in the planet radius -
stellar irradiation diagram is consistent with the scenario where the radius -
irradiation correlation levels off below about 10$^8$ erg s$^{-1}$ cm$^{-2}$,
suggesting that for warm Jupiters the stellar irradiation does not play a
significant role in determining the planet radius. We also report our
identification of another ${\it K2}$ transiting warm Jupiter candidate, EPIC
212504617, as a false positive.
