Furyk sparked his day with a hole-out from 135 yards for eagle on No. 3, then reeled off four straight birdies on Nos. 6-9 to make the turn at TPC River Highlands in 8-under 27. He added three more birdies on Nos. 10-12 to extend his run to seven in a row, then rolled in a 23-footer for birdie on No. 16 to reach 12 under for the day.
Furyk then parred No. 17 and two-putted for par from 27 feet on the final green for a piece of history.
"Late in the front nine I had a special feeling, and to turn in 27 you can't help but think about it, especially on a par-70 golf course," Furyk said. "To turn around and make the putts on 10, 11 and 12 and already be 11 under par with six to play, it just kind of became a little bit of a mental game."
Furyk, 46, was already the most recent player to shoot a 59 on the PGA Tour, having done so at the 2013 BMW Championship at Conway Farms. At that point, Furyk became the sixth player to shoot 59 on the PGA Tour, and he is now the first player to shoot 58 and the first with multiple sub-60 rounds.
"I had that 'Here we go again' (feeling). I shot 8 under on the front nine there, 8 under today. I remembered the mental battle, the grind," Furyk said. "It was tougher conditions at Conway (Farms), but a little smoother round of golf today than there."
Furyk's round comes one week after Stephan Jaeger shot a 58 on the Web.com Tour en route to victory at the Ellie Mae Classic. Other instances of 58 in competition include Shigeki Maruyama (2000 U.S. Open sectional qualifier), Ryo Ishikawa (2010 Japan Tour) and Jason Bohn (2001 Canadian Tour).
Furyk missed only one fairway, hit all 18 greens in regulation and needed only 24 putts to complete his round.
The score was perhaps even more remarkable considering the fact that Furyk entered the final round at 1-over 211 through 54 holes, having shot rounds of 73-66-72. His finale brought him within four shots of overnight leader Daniel Berger, who had yet to tee off when Furyk completed his record-breaking round.
"There's a lot of great rounds by a lot of great players ahead of me that have never reached 58," Furyk said. "To hold that record ... on the PGA Tour is phenomenal. To have a little small place in history is something you dream of."