Since 2000, 23 players are tied for the fewest carries by a quarterback, with 0 carries. The first three are Jacob Eason, K.J. Costello and Kellen Mond.

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since 2000 which nfl quarterback has the least rushing attempts
EasonCostelloMondFalkCallahanRudockCookTanneyThomasDavisBrandstaterCarpenterBrownPikeSmithKingsburyNavarreHamdanCovingtonRypienWoodburyFrieszHartsell00000000000000000000000
NAMEGPATTRUSH YDSYPCRUSH YDS/GRUSH TDREC YDSRECTRGAVGREC YDS/GREC TD
Jacob EasonJacob Eason1000.000000.00
K.J. CostelloK.J. Costello1000.000000.00
Kellen MondKellen Mond1000.000000.00
Luke FalkLuke Falk3000.000000.00
Joe CallahanJoe Callahan1000.000000.00
Jake RudockJake Rudock3000.000000.00
Connor CookConnor Cook1000.000000.00
Alex TanneyAlex Tanney2000.000000.00
Logan ThomasLogan Thomas2000.000000.00
Dominique DavisDominique Davis1000.000000.00
Tom BrandstaterTom Brandstater1000.000000.00
Rudy CarpenterRudy Carpenter1000.000000.00
Levi BrownLevi Brown1000.000000.00
Tony PikeTony Pike1000.000000.00
Rusty SmithRusty Smith3000.000000.00
Kliff KingsburyKliff Kingsbury1000.000000.00
John NavarreJohn Navarre2000.000000.00
Gibran HamdanGibran Hamdan1000.000000.00
Scott CovingtonScott Covington1000.000000.00
Mark RypienMark Rypien4000.000000.00
Tory WoodburyTory Woodbury12000.00131113.01.10
John FrieszJohn Friesz1000.000000.00
Mark HartsellMark Hartsell1000.000000.00
Easton StickEaston Stick11-2-2.0-2.000000.00
Jake LutonJake Luton311313.04.310000.00
StatMuse has season-level data for rush attempts going back to the 1932 season.