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We report the complete statistical planetary sample from the prime fields($\Gamma \geq 2~{\rm hr}^{-1}$) of the 2019 Korea Microlensing TelescopeNetwork (KMTNet) microlensing survey. We develop the optimized KMTNetAnomalyFinder algorithm and apply it to the 2019 KMTNet prime fields. We find atotal of 14 homogeneously selected planets and report the analysis of threeplanetary events, KMT-2019-BLG-(1042,1552,2974). The planet-host mass ratios,$q$, for the three planetary events are $6.34 \times 10^{-4}, 4.89 \times10^{-3}$ and $6.18 \times 10^{-4}$, respectively. A Bayesian analysis indicatesthe three planets are all cold giant planets beyond the snow line of their hoststars. The 13 planets are basically uniform in $\log q$ over the range $-5.0 <\log q < -1.5$. This result suggests that the planets below $q_{\rm break} =1.7 \times 10^{-4}$ proposed by the MOA-II survey may be more common thanpreviously believed. This work is an early component of a large project todetermine the KMTNet mass-ratio function, and the whole sample of 2016--2019KMTNet events should contain about 120 planets.

Systematic KMTNet Planetary Anomaly Search. IV. Complete Sample of 2019 Prime-Field