Sid Luckman passed for 132 touchdowns in his career.

who was the 1st nfl quarterback has scored 45 touchdowns
Interpreted as:
Who was the 1st NFL quarterback has scored 45 or more passing touchdowns?
LuckmanThompsonBaughChristmanWaterfieldHardyLayneBlandaConerlyThomasonTripuckaVan BrocklinBurkGrahamRoteTittleFinksLeBaronBukichParilliBratkowskiDavidsonDorowMcHanWade1329010758835419620815168691735788148212521046116565736473124
NAMEGPTDCMPATTPCTYDSAVGYDS/GTD%INTINT%SCKSCKYRATE
Sid LuckmanSid Luckman1171328811,69352.014,0508.3120.17.81287.674.5
Tommy ThompsonTommy Thompson88907231,39651.810,2407.3116.46.41007.267.4
Sammy BaughSammy Baugh931071,0141,76657.413,5077.6145.26.11106.276.0
Paul ChristmanPaul Christman61585041,14044.27,2946.4119.65.1766.754.8
Bob WaterfieldBob Waterfield67836411,29549.59,6547.5144.16.41048.062.3
Jim HardyJim Hardy695442391246.45,6906.282.55.9738.053.1
Bobby LayneBobby Layne1751961,8143,70049.026,7687.2153.05.32436.663.4
George BlandaGeorge Blanda1802081,7503,65347.924,6226.7136.85.72486.860.8
Charlie ConerlyCharlie Conerly1491511,2562,53449.617,3136.8116.26.01546.166.4
Bobby ThomasonBobby Thomason85686871,34651.09,4807.0111.55.1906.762.9
Frank TripuckaFrank Tripucka75698791,74550.410,2825.9137.14.01247.152.2
Norm Van BrocklinNorm Van Brocklin1401731,5532,89553.623,6118.2168.76.01786.175.1
Adrian BurkAdrian Burk705746399746.46,4406.592.05.7848.451.6
Otto GrahamOtto Graham72888721,56555.713,4998.6187.55.6946.078.2
Tobin RoteTobin Rote1491481,3292,90745.718,8506.5126.55.11916.656.8
Y.A. TittleY.A. Tittle1782122,1183,81755.528,3397.4159.25.62215.873.6
Jim FinksJim Finks47526181,27848.48,0646.3171.64.1786.156.8
Eddie LeBaronEddie LeBaron1341048981,79650.013,3997.5100.05.81417.961.4
Rudy BukichRudy Bukich103616261,19052.68,4337.181.95.1746.266.6
Babe ParilliBabe Parilli1771651,4753,15346.821,2656.7120.15.22036.40059.8
Zeke BratkowskiZeke Bratkowski132657621,48451.310,3457.078.44.41228.211254.3
Cotton DavidsonCotton Davidson111737701,75243.911,7606.7105.94.21086.254.9
Al DorowAl Dorow69645721,20747.47,7086.4111.75.3937.753.8
Lamar McHanLamar McHan113736101,44242.39,4496.683.65.11087.550.3
Billy WadeBilly Wade1281241,3702,52354.318,5307.3144.84.91345.372.2
StatMuse has season-level data for passing touchdowns going back to the 1921 season.

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