Norm Van Brocklin has the most passing yards in a game with 4+ passing touchdowns, with 554 yards against the New York Yanks on September 28, 1951.

most 500 passing yard and 4 td games
Interpreted as:
most 500 passing yard and 4 or more passing td regular-season games by a player
9/28/1951Van Brocklin11/18/2012Schaub10/26/2014Roethlisberger1/1/2012Stafford9/12/2011Brady10/30/2016Carr10/6/2013Romo11/1/2015Brees10/28/1962Tittle10/2/2016Ryan10/4/2020Prescott10/31/2004Plummer9/24/1972Namath12/19/2004Volek11/2/1986Kramer11/16/1980Williams9/15/2013Rodgers1/1/2012Flynn10/5/2014Manning9/21/1986O'Brien11/19/2018Mahomes10/14/1990Montana11/10/2002Maddox554527522520517513506505505503502499496492490486480480479479478476473
NAMEDATETMOPPYDSTDGPCMPATTPCTAVGTD%INTINT%SCKSCKYRATE
Norm Van BrocklinNorm Van Brocklin9/28/1951LALAvsNYYNYY55451274165.913.512.224.9128.3
Matt SchaubMatt Schaub11/18/2012HOUHOUvsJAXJAX52751435578.29.69.123.6223121.7
Ben RoethlisbergerBen Roethlisberger10/26/2014PITPITvsINDIND52261404981.610.712.200.000150.6
Matthew StaffordMatthew Stafford1/1/2012DETDET@GBGB52051365961.08.88.523.4218103.8
Tom BradyTom Brady9/12/2011NENE@MIAMIA51741324866.710.88.312.111121.6
Derek CarrDerek Carr10/30/2016OAKOAK@TBTB51341405967.88.76.800.0215117.4
Tony RomoTony Romo10/6/2013DALDALvsDENDEN50651253669.414.113.912.8436140.0
Drew BreesDrew Brees11/1/2015NONOvsNYGNYG50571395078.010.114.024.000131.7
Y.A. TittleY.A. Tittle10/28/1962NYGNYGvsWASWAS50571273969.212.917.900.0151.4
Matt RyanMatt Ryan10/2/2016ATLATLvsCARCAR50341283775.713.610.812.7322142.0
Dak PrescottDak Prescott10/4/2020DALDALvsCLECLE50241415870.78.76.911.7321112.9
Jake PlummerJake Plummer10/31/2004DENDENvsATLATL49941315556.49.17.335.50088.4
Joe NamathJoe Namath9/24/1972NYJNYJ@BALBAL49661152853.617.721.413.6123.5
Billy VolekBilly Volek12/19/2004TENTEN@OAKOAK49241406066.78.26.711.7326107.1
Tommy KramerTommy Kramer11/2/1986MINMIN@WASWAS49041203557.114.011.412.9419128.0
Doug WilliamsDoug Williams11/16/1980TBTB@MINMIN48641305554.58.87.323.693.4
Aaron RodgersAaron Rodgers9/15/2013GBGBvsWASWAS48041344281.011.49.500.0439146.0
Matt FlynnMatt Flynn1/1/2012GBGBvsDETDET48061314470.510.913.612.3311136.4
Peyton ManningPeyton Manning10/5/2014DENDENvsARIARI47941314766.010.28.524.313110.2
Ken O'BrienKen O'Brien9/21/1986NYJNYJvsMIAMIA47941294367.411.19.312.3330126.0
Patrick MahomesPatrick Mahomes11/19/2018KCKC@LARLAR47861334671.710.413.036.5330117.6
Joe MontanaJoe Montana10/14/1990SFSF@ATLATL47661324965.39.712.224.1434119.6
Tommy MaddoxTommy Maddox11/10/2002PITPITvsATLATL47341284168.311.59.812.4210129.4
Dan MarinoDan Marino9/4/1994MIAMIAvsNENE47351234254.811.311.912.4217124.3
Peyton ManningPeyton Manning10/31/2004INDIND@KCKC47251254456.810.711.412.300122.5
Results may be incomplete. StatMuse has complete game-level data for passing touchdowns and passing yards going back to the 1950 season.

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