most games by a quarterback with 3+ touchdowns and zero ints

Tom Brady had the most games by a quarterback with 3+ passing touchdowns and exactly 0 intercepted passes, with 68 games.

Interpreted as:

most regular-season games by a quarterback with 3+ passing touchdowns and zero passing ints

	NAME	GP	TD	INT	CMP	ATT	PCT	YDS	AVG	YDS/G	RTG	TD%	INT%	SCK	SCKY
1	Tom Brady T. Brady	68	242	0	1,701	2,422	70.2	21,455	8.9	315.5	130.8	10.0	0.0	96	608
2	Aaron Rodgers A. Rodgers	66	233	0	1,557	2,210	70.5	19,573	8.9	296.6	132.8	10.5	0.0	133	935
3	Drew Brees D. Brees	56	202	0	1,513	2,032	74.5	18,431	9.1	329.1	135.1	9.9	0.0	61	383
4	Peyton Manning P. Manning	51	180	0	1,225	1,689	72.5	15,264	9.0	299.3	135.7	10.7	0.0	37	227
5	Brett Favre B. Favre	36	121	0	811	1,176	69.0	10,036	8.5	278.8	129.4	10.3	0.0	42	255
6	Matthew Stafford M. Stafford	35	116	0	866	1,289	67.2	10,747	8.3	307.1	122.8	9.0	0.0	58	371
7	Ben Roethlisberger B. Roethlisberger	35	124	0	868	1,269	68.4	10,838	8.5	309.7	127.2	9.8	0.0	64	422
8	Russell Wilson R. Wilson	31	109	0	658	941	69.9	8,318	8.8	268.3	135.8	11.6	0.0	72	493
9	Kirk Cousins K. Cousins	30	96	0	769	1,062	72.4	9,508	9.0	316.9	129.9	9.0	0.0	54	413
10	Patrick Mahomes P. Mahomes	29	104	0	779	1,112	70.1	9,413	8.5	324.6	126.9	9.4	0.0	44	264
11	Philip Rivers P. Rivers	29	90	0	652	929	70.2	8,395	9.0	289.5	130.5	9.7	0.0	39	237
12	Jared Goff J. Goff	28	98	0	648	945	68.6	8,702	9.2	310.8	132.2	10.4	0.0	49	348
13	Matt Ryan M. Ryan	27	91	0	688	963	71.4	8,329	8.6	308.5	129.2	9.4	0.0	43	270
14	Dak Prescott D. Prescott	22	76	0	511	728	70.2	6,495	8.9	295.2	132.5	10.4	0.0	32	156
15	Tony Romo T. Romo	22	72	0	469	680	69.0	6,122	9.0	278.3	132.4	10.6	0.0	37	221
16	Eli Manning E. Manning	20	68	0	409	610	67.0	5,347	8.8	267.4	131.6	11.1	0.0	31	205
17	Lamar Jackson L. Jackson	19	75	0	379	500	75.8	5,307	10.6	279.3	149.1	15.0	0.0	27	178
18	Josh Allen J. Allen	18	62	0	450	629	71.5	5,574	8.9	309.7	131.5	9.9	0.0	24	120
19	Dan Marino D. Marino	18	62	0	409	625	65.4	5,232	8.4	290.7	124.6	9.9	0.0	23	159
20	Fran Tarkenton F. Tarkenton	18	60	0	295	481	61.3	4,552	9.5	252.9	132.2	12.5	0.0
21	Derek Carr D. Carr	17	55	0	425	595	71.4	4,876	8.2	286.8	126.6	9.2	0.0	17	110
22	Andy Dalton A. Dalton	17	56	0	376	573	65.6	4,449	7.8	261.7	121.7	9.8	0.0	24	179
23	Donovan McNabb D. McNabb	17	61	0	363	536	67.7	5,045	9.4	296.8	135.7	11.4	0.0	34	229
24	Drew Bledsoe D. Bledsoe	17	59	0	392	596	65.8	5,094	8.5	299.6	125.5	9.9	0.0	31	207
25	Steve Young S. Young	17	57	0	314	453	69.3	4,265	9.4	250.9	138.7	12.6	0.0	22	126

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StatMuse has game-level data for intercepted passes and passing touchdowns going back to the 1950 season.

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AFC East	W	L	T	PCT
Patriots - y	14	3	0	.824
Bills - w	12	5	0	.706
Dolphins - e	7	10	0	.412
Jets - e	3	14	0	.176
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Ravens - e	8	9	0	.471
Bengals - e	6	11	0	.353
Browns - e	5	12	0	.294
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Jaguars - y	13	4	0	.765
Texans - w	12	5	0	.706
Colts - e	8	9	0	.471
Titans - e	3	14	0	.176
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Chargers - w	11	6	0	.647
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Commanders - e	5	12	0	.294
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Vikings - e	9	8	0	.529
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Panthers - y	8	9	0	.471
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Seahawks - z*	14	3	0	.824
Rams - w	12	5	0	.706
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Cardinals - e	3	14	0	.176