Peyton Manning, Dan Marino and Joe Montana were tied for the most games by a quarterback with 400+ passing yards and 5+ passing touchdowns, with 3 games.

most 400 yard passing games and 5 td by quarterback nfl career
Interpreted as:
most 400 or more yard passing regular-season games and 5 or more passing td by quarterback NFL career
ManningMarinoMontanaMahomesBreesStaffordBradyRodgersWatsonGoffRoethlisbergerFolesRomoSchaubFlynnPalmerMcNabbHolcombCulpepperFrerotteMoonRypienCunningham33322211111111111111111
NAMEGPYDSTDCMPATTPCTAVGYDS/GTD%INTINT%SCKSCKYRATE
Peyton ManningPeyton Manning31,337177412161.211.0445.714.032.5317128.3
Dan MarinoDan Marino31,324168213859.49.6441.311.642.9534118.1
Joe MontanaJoe Montana31,333169414067.19.5444.311.432.11386126.9
Patrick MahomesPatrick Mahomes289411648872.710.2447.012.533.4330130.4
Drew BreesDrew Brees291712719078.910.2458.513.322.200139.4
Matthew StaffordMatthew Stafford2942106210260.89.2471.09.843.9424107.6
Tom BradyTom Brady14115304173.210.0411.012.200.0215144.4
Aaron RodgersAaron Rodgers14295253180.613.8429.016.100.018158.3
Deshaun WatsonDeshaun Watson14265283384.812.9426.015.200.000158.3
Jared GoffJared Goff14655263378.814.1465.015.200.019158.3
Ben RoethlisbergerBen Roethlisberger15226404981.610.7522.012.200.000150.6
Nick FolesNick Foles14067222878.614.5406.025.000.011158.3
Tony RomoTony Romo15065253669.414.1506.013.912.8436140.0
Matt SchaubMatt Schaub15275435578.29.6527.09.123.6223121.7
Matt FlynnMatt Flynn14806314470.510.9480.013.612.3311136.4
Carson PalmerCarson Palmer14016335066.08.0401.012.024.017113.4
Donovan McNabbDonovan McNabb14645324374.410.8464.011.600.0415147.8
Kelly HolcombKelly Holcomb14135303976.910.6413.012.825.1327128.5
Daunte CulpepperDaunte Culpepper14255263770.311.5425.013.525.428125.6
Gus FrerotteGus Frerotte14625365862.18.0462.08.646.931987.0
Warren MoonWarren Moon14095284463.69.3409.011.424.500112.8
Mark RypienMark Rypien14426163151.614.3442.019.400.000136.8
Randall CunninghamRandall Cunningham14475344673.99.7447.010.912.2438131.3
Boomer EsiasonBoomer Esiason14255233076.714.2425.016.713.329143.8
Joe FergusonJoe Ferguson14195385569.17.6419.09.111.8112114.1
StatMuse has game-level data for passing touchdowns and passing yards going back to the 1950 season.

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