Brady connected with Josh Gordon for a 39-yard scoring pass with 9:19 to play in the fourth quarter to reach the milestone. Only Peyton Manning, with 539 TD passes, and Brett Favre (508) have thrown more scoring strikes.
Brady’s record-setting touchdown was the 71st to a different receiver, breaking a tie with Vinny Testaverde for another NFL record.
"Things like that, milestones and so forth, there's so many people who contribute," Brady said. "I just think of all the people who have really worked hard. A quarterback doesn't throw them to himself. He needs people to catch, and block, and the defense to make plays, and coaches to coach. These are all great team awards. Pretty cool.
Brady became the first player to throw 500 touchdown passes for the same team.
"It's tremendous. It's a lot of touchdown passes to a lot of different guys, too. ... No quarterback I'd rather have than Tom Brady," Patriots coach Bill Belichick said.
Brady completed 34 of 44 passes for 341 yards and three touchdowns for the Patriots (3-2). The Colts fell to 1-4.
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