qb with the most games with 350+ passing yards 3 td in a season

Peyton Manning has the most games by a quarterback with 350+ passing yards and 3+ passing touchdowns in a season, with 8 games in 2013.

Interpreted as:

qb with the most games with 350+ passing yards 3 or more passing td in a season

	NAME	GP	YDS	TD	SEASON	TM	CMP	ATT	PCT	AVG	YDS/G	INT	RTG	TD%	INT%	SCK	SCKY
1	Peyton Manning P. Manning	8	3,190	34	2013	DEN	244	359	68.0	8.9	398.8	7	119.2	9.5	1.9	11	58
2	Andrew Luck A. Luck	6	2,257	23	2014	IND	155	242	64.0	9.3	376.2	5	117.4	9.5	2.1	9	45
3	Joe Burrow J. Burrow	5	1,957	18	2024	CIN	164	238	68.9	8.2	391.4	2	115.5	7.6	0.8	18	80
4	Tom Brady T. Brady	5	1,943	20	2021	TB	162	232	69.8	8.4	388.6	6	113.1	8.6	2.6	6	45
5	Drew Brees D. Brees	5	2,020	18	2016	NO	172	241	71.4	8.4	404.0	3	116.2	7.5	1.2	8	65
6	Drew Brees D. Brees	5	2,035	18	2012	NO	157	232	67.7	8.8	407.0	3	115.5	7.8	1.3	7	54
7	Tom Brady T. Brady	5	2,045	17	2011	NE	139	204	68.1	10.0	409.0	6	116.2	8.3	2.9	5	27
8	Drew Brees D. Brees	5	1,953	20	2011	NO	147	206	71.4	9.5	390.6	3	127.3	9.7	1.5	5	39
9	Sonny Jurgensen S. Jurgensen	5	1,956	17	1961	PHI	110	173	63.6	11.3	391.2	10	110.9	9.8	5.8
10	Patrick Mahomes P. Mahomes	4	1,635	16	2020	KC	129	178	72.5	9.2	408.8	0	130.7	9.0	0.0	4	17
11	Jameis Winston J. Winston	4	1,679	15	2019	TB	112	165	67.9	10.2	419.8	6	116.2	9.1	3.6	9	53
12	Patrick Mahomes P. Mahomes	4	1,641	13	2019	KC	118	164	72.0	10.0	410.3	0	130.2	7.9	0.0	5	31
13	Patrick Mahomes P. Mahomes	4	1,563	17	2018	KC	107	153	69.9	10.2	390.8	7	120.9	11.1	4.6	7	50
14	Matt Ryan M. Ryan	4	1,498	15	2018	ATL	112	153	73.2	9.8	374.5	1	133.8	9.8	0.7	9	52
15	Jared Goff J. Goff	4	1,623	15	2018	LAR	114	158	72.2	10.3	405.8	2	131.4	9.5	1.3	7	47
16	Drew Brees D. Brees	4	1,561	13	2018	NO	124	153	81.0	10.2	390.3	0	137.5	8.5	0.0	4	26
17	Ben Roethlisberger B. Roethlisberger	4	1,492	13	2015	PIT	107	154	69.5	9.7	373.0	3	120.4	8.4	1.9	4	29
18	Tom Brady T. Brady	4	1,514	20	2007	NE	115	156	73.7	9.7	378.5	0	143.5	12.8	0.0	4	25
19	Daunte Culpepper D. Culpepper	4	1,588	17	2004	MIN	114	166	68.7	9.6	397.0	3	125.8	10.2	1.8	14	68
20	Peyton Manning P. Manning	4	1,658	16	2004	IND	105	156	67.3	10.6	414.5	3	128.6	10.3	1.9	2	17
21	Rich Gannon R. Gannon	4	1,451	13	2002	OAK	121	160	75.6	9.1	362.8	1	127.4	8.1	0.6	7	24
22	George Blanda G. Blanda	4	1,583	19	1961	HOU	76	128	59.4	12.4	395.8	8	116.6	14.8	6.3
23	Matthew Stafford M. Stafford	3	1,221	9	2025	LAR	88	137	64.2	8.9	407.0	0	114.6	6.6	0.0	4	26
24	Joe Burrow J. Burrow	3	1,211	10	2022	CIN	98	133	73.7	9.1	403.7	4	114.0	7.5	3.0	7	37
25	Patrick Mahomes P. Mahomes	3	1,135	11	2022	KC	83	115	72.2	9.9	378.3	4	120.7	9.6	3.5	3	16

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

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Sun 12/21	JAX	@	DEN	4:05 PM
Thu 12/25	DEN	@	KC	8:15 PM
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Patriots	11	3	0	.786
Bills	10	4	0	.714
Dolphins - e	6	8	0	.429
Jets - e	3	11	0	.214
AFC North	W	L	T	PCT
Steelers	8	6	0	.571
Ravens	7	7	0	.500
Bengals - e	4	10	0	.286
Browns - e	3	11	0	.214
AFC South	W	L	T	PCT
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Texans	9	5	0	.643
Colts	8	6	0	.571
Titans - e	2	12	0	.143
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Chargers	10	4	0	.714
Chiefs - e	6	8	0	.429
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Packers	9	4	1	.679
Lions	8	6	0	.571
Vikings - e	6	8	0	.429
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Panthers	7	7	0	.500
Falcons - e	5	9	0	.357
Saints - e	4	10	0	.286
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49ers	10	4	0	.714
Cardinals - e	3	11	0	.214