Context: Patriots quarterback Tom Brady threw for a career second-best 466 yards, as he completed 38 of 59 pass attempts with three touchdown throws, as the Patriots were able to hold off a late Buffalo Bills rally thanks to their high-octane offense, giving the Patriots their first divisional win of the season. The match-up between the Bills and Patriots was highly anticipated in the week before the meeting. Both teams had won their first games of the new season and high expectations for the season ahead were falling on both teams, including the host team, who were led by new head coach and old Patriots' foe Rex Ryan (formerly of the New York Jets). The Guinness Book of World Records was invited to Ralph Wilson Stadium to see if the Bills' fans could break the decibel record for crowd noise that was set at Arrowhead Stadium by Kansas City Chiefs' fans in the season prior (coincidentally in a game that the Patriots also featured in as the away team). In a heated game-day atmosphere, the Bills took the opening kickoff and drove the ball 80-yards in ten plays, with rookie running back Karlos Williams scoring on a 2-yard run. Two possessions later, the Patriots, aided by completions of 16 and 36 yards to Aaron Dobson and Gronkowski respectively, raced 62 yards in only 5 plays, with Julian Edelman catching an 8-yard touchdown pass from Brady. After another Bills three-and-out, aided by a 28-yard punt return to the Bills 27 by Danny Amendola coupled with an unnecessary roughness penalty on the Bills, the Patriots need just two plays to go 13 yards and score on a 6-yard touchdown run by Dion Lewis, taking a 14-7 lead. On the ensuing Bills' drive, Tyrod Taylor was intercepted by Super Bowl hero Malcolm Butler, who returned it 9 yards to the Bills 30. The Patriots then marched 30 yards in just 5 plays, scoring on Brady's 6-yard touchdown pass to Gronkowski, extending the lead to 21-7. After a Bills punt, from the Bills 48, Lewis caught a 6-yard pass, but was stripped by Paul Brown with Corey Graham returning it 29 yards to the Patriots 33, but an unnecessary roughness penalty moved them back to the 48. After being forced to punt, the Patriots drove to the Bills 48, but on 4th-and-1 Brady fired an incomplete pass. The Bills finally scored again, racing 48 yards in four penalty marred plays, scoring on a 9-yard touchdown pass to Charles Clay, trimming the deficit to 21-13, after a missed PAT. The Patriots drove to the Bills 28 on their next drive and Stephen Gostkowski converted a 46-yard field goal, increasing the lead to 24-13. The Bills advanced the ball to the 50-yard line on the next drive, but Taylor was intercepted by Harmon a deep pass intended for wide receiver Sammy Watkins with 16 seconds remaining in the half. Brady took a knee on the ensuing drive, with the Patriots going into the half leading 24-13. The Patriots drove 77 yards on the opening drive, all the way to the Bills 3-yard line, but were forced to settle for a 21-yard field goal by Gostkowski, making the score 27-13. After a Bills punt, the Patriots raced 83 yards in 9 plays, with Brady capping off the drive with a 22-yard touchdown pass to a diving Edelman, growing the lead to 34-13. After a Bills three-and-out, the Patriots drove to the Bills 32 and Gostkowski upping the lead to 37-13 on a 50-yard field goal. As the game entered the fourth quarter and with many Bills fans already heading for the exits, the Bills were finally able to establish rhythm with their offense, as Taylor led Buffalo on a 10-play, 80-yard drive, bombing a 32-yard touchdown pass to wide receiver Robert Woods, with a failed two-point conversion, making the score 37-19.  The Patriots drove to the Bills 41 on their next drive, but failed to convert. The Bills quickly capitalized, racing 59 yards in only 7 plays, with Taylor running in a 7-yard touchdown, with a missed two-point conversion, trimming the deficit to just 37-25. On the second play of the ensuing Patriots drive, Brady was strip-sacked by Jerry Hughes , with Preston Brown recovering for the Bills at midfield. It only took two plays to cover 50 yards, with Taylor finding Watkins for a 24-yard touchdown, making the score just 37-32 after being down 37-13. As had been the theme throughout the day, the Bills' defense was unable to keep Brady and the Patriots' offense from marching up-and-down the field, and on their final drive, New England drove to the Bills 8 and Gostkowski upped the lead to 40-32 on his 26-yard field goal. On the Bills' first play of the Bills next drive, Taylor was intercepted for the third time of the day, this time by cornerback Logan Ryan at the 50-yard line on a long pass intended for Watkins. Brady kneeled on the ensuing drive, securing the 40-32 win. The Bills' fans failed to set the Guinness World Record for loudest crowd noise.

Question: How many Patriot touchdowns were completed by passing instead of rushing?

Answer:
3