Cam Newton has played the most seasons by a quarterback with 300+ rushing yards, with 9 seasons.

which qb has the most 300 rushing yards seasons
Interpreted as:
Which qb has the most 300 or more rushing yards seasons?
NewtonWilsonVickTarkentonRoteMcNairCunninghamYoungBortlesCulpepperMcNabbKaepernickRodgersStewartGroganWatsonAllenJacksonMariotaTaylorSmithGarciaBlake98877666555444433333333
NAMEGPSEASRUSH YDSATTRUSH AVGRUSH YDS/GRUSH TDREC YDSRECTRGREC AVGREC YDS/GREC TD
Cam NewtonCam Newton13895,4001,0665.139.170683322.70.51
Russell WilsonRussell Wilson12884,2477315.833.2206223.00.00
Michael VickMichael Vick10385,2187327.150.7321220.50.00
Fran TarkentonFran Tarkenton9872,3383666.423.919-120-0.10
Tobin RoteTobin Rote8472,5845065.130.83339139.00.51
Steve McNairSteve McNair9062,8274795.931.4280000.00
Randall CunninghamRandall Cunningham9063,7815447.042.028-31-3.00.00
Steve YoungSteve Young8462,5484076.330.325221.00.00
Blake BortlesBlake Bortles7551,7752816.323.78201120.00.31
Daunte CulpepperDaunte Culpepper7352,3234275.431.8280110.00.00
Donovan McNabbDonovan McNabb7052,2393496.432.017-847-2.0-0.10
Colin KaepernickColin Kaepernick5742,0463286.235.9120000.00
Aaron RodgersAaron Rodgers6341,3852475.622.0140000.00
Kordell StewartKordell Stewart6441,8553435.429.025171017.00.30
Steve GroganSteve Grogan6041,6282666.127.120000.00
Deshaun WatsonDeshaun Watson4731,4082715.230.0156116.00.11
Josh AllenJosh Allen4431,5623005.235.525121212.00.31
Lamar JacksonLamar Jackson4632,9064826.063.2190020.00
Marcus MariotaMarcus Mariota4431,0181845.523.19211221.00.50
Tyrod TaylorTyrod Taylor4431,5752835.635.8144114.00.10
Alex SmithAlex Smith4631,2842205.827.94-411-4.0-0.10
Jeff GarciaJeff Garcia4531,0862015.424.1146116.00.10
Jeff BlakeJeff Blake4639581885.120.860000.00
Roger StaubachRoger Staubach4039791436.824.59-131-13.0-0.30
Greg LandryGreg Landry4031,4041927.335.113000.00
StatMuse has season-level data for rushing yards going back to the 1932 season.

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