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Phased flaring, or the periodic occurrence of stellar flares, may probeelectromagnetic star-planet interaction (SPI), binary interaction, or magneticconditions in spots. For the first time, we explore flare periodograms for alarge sample of flare stars to identify periodicity due to magneticinteractions with orbiting companions, magnetic reservoirs, or rotationalphase. Previous large surveys have explored periodicity at the stellar rotationperiod, but we do not assume periods must correspond with rotation in thiswork. Two min TESS light curves of 284 cool stars are searched for periods from1-10 d using two newly-developed periodograms. Because flares are discreteevents in noisy and incomplete data, typical periodograms are not well-suitedto detect phased flaring. We construct and test a new Bayesian likelihoodperiodogram and a modified Lomb-Scargle periodogram. We find 6 candidates witha false-alarm probability below 1%. Three targets are >3-sigma detections offlare periodicity; the others are plausible candidates which cannot beindividually confirmed. Periods range from 1.35 to 6.7 d and some, but not all,correlate with the stellar rotation period or its 1/2 alias. Periodicity from 2targets may persist from TESS Cycle 1 into Cycle 3. The periodicity does notappear to persist for the others. Long-term changes in periodicity may resultfrom the spot evolution observed from each candidate, which suggests magneticconditions play an important role in sustaining periodicity.

EvryFlare IV: Detection of periodicity in flare occurrence from cool stars with TESS