Josh Allen and the Bills shake off Mother Nature and the Steelers in ...

Buffalo Bills wide receiver Khalil Shakir (10) celebrates with teammates after scoring a touchdown against the Pittsburgh Steelers during the fourth quarter of an NFL wild-card playoff football game on Jan. 15 in Orchard Park, N.Y.Jeffrey T. Barnes/The Associated Press

Josh Allen threw three touchdown passes and scored on a franchise playoff-record 52-yard touchdown run, and the Buffalo Bills beat the Pittsburgh Steelers 31-17 on Monday in an AFC wild-card playoff game that was postponed a day because of a lake-effect blizzard.

The Highmark Stadium stands erupted with snow being tossed into the air like confetti when Allen threw a 17-yard touchdown pass to Khalil Shakir with 6:27 remaining that restored a two-touchdown lead for Buffalo. Shakir caught the pass at the 10 over the middle, and then slipped Minkah Fitzpatrick’s tackle attempt by spinning around before outracing the rest of the Steelers defenders into the end zone.

The second-seeded Bills (12-6), who closed the regular season with five straight wins, advance to play host to Patrick Mahomes and No. 3 seed Kansas City in the divisional round on Sunday night.

“We’ve got a resilient group. The veteran leadership that we have, I really think it’s unmatched in the league,” Allen said of a team that was 6-6 after an overtime loss to Philadelphia on Nov. 26.

The Bills have longed for a home playoff game against KC after their 2020 and ‘21 seasons ended with playoff losses at Kansas City.

“It’s going to take a team effort,” Allen said. “We know the type of team that they are, obviously the type of quarterback that they have in Pat over there. … Just thanking God that we get another chance to play another game.”

Allen finished 21 of 30 for 203 yards and ran for 74 yards on eight carries, becoming the first quarterback in NFL playoff history to throw three or more TD passes while rushing for 70 or more yards and a score. He didn’t have a turnover for just the fourth time this season.

Mason Rudolph threw two touchdown passes with an interception in his first playoff start for the Steelers (10-8), but Pittsburgh was too inconsistent on either side of the ball to keep up with Allen and the Bills. The Steelers lost their fifth straight playoff game; the franchise’s most recent postseason victory was exactly seven years ago.

Rudolph, a long-time backup, took over for the injured Kenny Pickett and the ineffective Mitch Trubisky to lead the Steelers to three straight wins to close the regular season and was given the playoff start even after Pickett recovered from an ankle injury.

“I’m appreciative of the efforts. But it’s not mystical. We didn’t do what was required to win tonight,” Steelers coach Mike Tomlin said, noting that two Steelers turnovers led to the Bills scoring 14 points. “Can’t come into an environment like this with a playoff-calibre team and turn the ball over like that and expect to be competitive.”

Asked about his future in Pittsburgh after completing his 17th season – all of them with a record of .500 or better – Tomlin smirked and walked away.

Buffalo had to wait an extra day to play host to the Steelers after a dangerous storm that dumped more than two feet of snow on the region, leading the NFL to bump the game from its scheduled Sunday afternoon start.

The elements didn’t play much of a factor. Though temperatures were in the teens, the skies were clear and there was only a slight breeze blowing in off Lake Erie.

The Steelers came out flat, allowing Buffalo to score touchdowns on three of its first five possessions and build a 21-0 lead on Allen’s electrifying touchdown run midway through the second quarter.

Allen’s nine-yard touchdown pass to Dawson Knox capped an 80-yard opening drive for the Bills.

After Buffalo linebacker Terrel Bernard recovered receiver George Pickens’s fumble at the Pittsburgh 29, Allen threw a TD pass to Dalton Kincaid on the next play.

Allen’s touchdown run came after cornerback Kaiir Elam intercepted Rudolph’s pass intended for Diontae Johnson in the end zone.

The Steelers finally capitalized on one of the Bills’ few errors of the half, when coach Sean McDermott elected to attempt a 49-yard field goal into the wind with a little more than two minutes left.

Montravius Adams blocked Tyler Bass’s low kick. The ball squirted some 20 yards into Bills territory and was recovered by Nick Herbig at Buffalo’s 33. The Steelers scored five plays later on Rudolph’s 10-yard TD pass to Johnson.

Pittsburgh eventually cut the lead to 24-17 on Rudolph’s 7-yard touchdown pass to Calvin Austin with 10:32 left.