Jim Sorgi had the fewest intercepted passes by a quarterback when scoring 6+ passing touchdowns and playing >6 games, with 1 interception.

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nfl qb touchdown to interception ratio leaders with over 6 games played
Interpreted as:
NFL qb passing touchdown to passing interception ratio leaders with over 6 or more games played
SorgiJamiesonMcCarronKesslerSmithGrayGarrettAllenRichardsonRonzaniJonesManzielDanielLemonRubleyZolakDilwegKielMillsJonesDriskelWhitehurstWeese12355556667777777788888
NAMEGPINTTDCMPATTPCTYDSAVGYDS/GTD%INT%SCKSCKYRATE
Jim SorgiJim Sorgi16169915663.59296.058.13.80.663789.9
Dick JamiesonDick Jamieson1426357050.05868.441.98.62.995.3
AJ McCarronAJ McCarron173610917462.61,1736.769.03.41.72013486.7
Cody KesslerCody Kessler175822434964.22,2156.3130.32.31.44933783.7
Troy SmithTroy Smith205812123451.71,7347.486.73.42.12314278.5
Quinn GrayQuinn Gray1251310818857.41,3287.1110.76.92.7128691.4
Jason GarrettJason Garrett4051116529456.12,0426.951.13.71.72011083.2
Brandon AllenBrandon Allen126913123057.01,4536.3121.13.92.61611078.0
Bucky RichardsonBucky Richardson16669718552.41,2576.878.63.23.22515171.4
Gene RonzaniGene Ronzani2769307042.95327.619.712.98.673.3
Landry JonesLandry Jones187810816963.91,3107.872.84.74.196686.2
Johnny ManzielJohnny Manziel147714725857.01,6756.5119.62.72.72216774.4
Chase DanielChase Daniel707817826168.21,6946.524.23.12.72615585.0
Cleo LemonCleo Lemon157821137955.72,1855.8145.72.11.83019071.8
T.J. RubleyT.J. Rubley107811219557.41,3777.1137.74.13.61310678.1
Scott ZolakScott Zolak557812424850.01,3145.323.93.22.82521464.8
Anthony DilwegAnthony Dilweg107810219352.81,2746.6127.44.13.62215072.3
Blair KielBlair Kiel257810819356.01,2966.751.84.13.61511775.4
Davis MillsDavis Mills78714020967.01,3576.5193.93.33.82013180.2
Mac JonesMac Jones1281626838170.32,8507.5237.54.22.12420497.1
Jeff DriskelJeff Driskel1581320234558.62,1206.1141.33.82.33826679.4
Charlie WhitehurstCharlie Whitehurst2581121939655.32,4636.298.52.82.03820474.9
Norris WeeseNorris Weese438611920458.31,5737.736.62.93.92719576.3
Keith MolesworthKeith Molesworth36874512037.57836.521.85.86.752.2
Tim TebowTim Tebow3591717336147.92,4226.769.24.72.54125875.3
StatMuse has season-level data for intercepted passes going back to the 1932 season.