Jonny Bairstow was full of pride at his performance on day three of the fourth Ashes Test after his 103 not-out kept England fighting.
Joe Root's team have already lost any chance of regaining the urn, having suffered defeat in the opening three Tests, and they looked down and out at 36-4 at the Sydney Cricket Ground early in Friday's play.
However, Ben Stokes (66) and Bairstow put on a fifth-wicket stand of 128 to guide the tourists to 164.
Stokes' battling innings, in which he was struggling with an apparent side strain, came to an end when he misjudged a Nathan Lyon delivery and was trapped lbw, and England looked in danger of failing to avoid the follow-on when Jos Buttler got out cheaply for a duck.
Yet Bairstow and Mark Wood (39) fought back, with the latter hitting three sixes during an entertaining 41-ball spell that was ended by Pat Cummins.
Bairstow stayed at the crease, though, and cut Australia's captain for four to surpass 100 in the final over of the day, with England closing on 258-7, 158 runs behind.
It was Bairstow's seventh Test century, and his first since 2018, while no England player had scored an Ashes 100 in Australia since Alistair Cook back in 2017, with England's then captain scoring 244 on that occasion.
Bairstow was not selected for the first two Tests but returned to the fold in Melbourne, scoring 35 in the first innings and five in the second.
The 32-year-old, who made his Test debut in May 2012, also moved onto 1,033 runs scored against Australia.
Bairstow was clearly overjoyed when he celebrated his century. It was a poignant moment, with this Test having started on the 24th anniversary of the death of his father David, himself a former England wicketkeeper.
"Extremely proud, really, really proud. You've known me for long enough and how much that means," Bairstow told BT Sport. "Unbelievable, I was ecstatic, extremely proud, there's a lot of hard work gone into that one.
"It's been tough, you've got to dig deep, you really have. People mention the scheduling, how much red-ball cricket people are playing leading into massive series like this, it's not just this series, it's the India series, the India series before that when we were over there.
"You've got to delve very deep, on things you've worked hard at over a number of years.
"Tried not to be too rigid. You can look at technique a lot. Some things work but other times you've got to keep being natural about the way you're moving or you become a bit clunky and too rigid. That's what I feel sometimes got to, trying to be something potentially that I'm not.
"My strength is putting pressure back on the bowlers, running between the wickets, trying to get them off the length to then give me a different ball. I wasn't necessarily doing that, but that also comes with spending time out in the middle consistently."
Bairstow took a nasty blow to his thumb from a rapid Cummins delivery just after Stokes' dismissal, but fought through the pain barrier.
"Slightly sore, it's starting to get a bit sorer now we've come off the field," he said. "I was hurting!
"You're playing in a New Year's Test match in Sydney, on the Pink Day, it's going to take a heck of a lot to get you off the field. You've still got a job to do. Yes it's sore, it will be sore, but you're playing cricket for England and I'm very proud to do that."
An England victory still looks incredibly unlikely but, with rain possibly in store over the coming days, a draw is on the cards as the tourists aim to avoid a 5-0 whitewash.
"We've got two days to scrap and scrap hard," Bairstow added.
"We had a challenge this morning to still be batting at the end of the day. They've got a new ball coming, so tomorrow is about scrapping hard again. We got to the follow-on and past that, let's see how close we can get."
Gilzene, Blackwood fight back as Scorpions reach 176-1, but still 282 away from victory
Jamaica Scorpions chasing a mammoth 459 for victory against Guyana Harpy Eagles were 176-1 at stumps, needing a further 282 to achieve an unlikely victory on Friday.
When play resumes on Saturday morning, Tevin Gilzene will carry on from 81 hoping for a big century as is Jermaine Blackwood, who was unbeaten on 66. The pair has so far put on 166 for the second wicket after losing opening batter Leroy Lugg for 10.
Earlier, Guyana picked up from their overnight score of 138-4 with Tagenarine Chanderpaul on 60 and Tevin Imlach on an even 50. The pair had extended their partnership to 175 when Chanderpaul was trapped lbw by Blackwood for 89.
Meanwhile, Imlach went to make an unbeaten 136 as Guyana declared at 294-7, 458 ahead of the Scorpions.
Mindley finished with the impressive figures of 6-54 after running through the Guyana middle order. Blackwood took 1-41.
Hodge scores 137 but Hurricanes end day three with 128-run lead over Volcanoes at Brian Lara Stadium
Kavem Hodge scored his fourth first-class hundred but it was the Leeward Islands Hurricanes who ended day three of their fourth-round fixture against the Windward Islands Volcanoes with a 128-run second innings lead at the Brian Lara Stadium in Tarouba on Friday.
The Volcanoes started the day 206-2 with Alick Athanaze and Kavem Hodge at the crease on 105 and 85, respectively.
The pair, who came together with the Volcanoes 10-2, brought their third-wicket partnership up to 246 before Athanaze’s knock was brought to an end on 128.
It was quickly 256-4 when Sunil Ambris only lasted one ball.
During the innings Hodge brought up his fourth first-class hundred, reaching 125 by the time lunch came around.
His partner at lunch was Justin Greaves who was on four as the Windwards were 298-5 off 75 overs, trailing the Hurricanes by 84 runs.
After the break, The Windwards lost the wickets of Hodge for 137 and Tevyn Walcott for 17 to be 314-6 in the 81st over.
Justin Greaves had to leave the field when he was on eight after being struck on the helmet by a Jeremiah Louis bouncer. He would later return to the crease when the Windwards were 348-9.
On the stroke of tea, the Windwards innings ended on 353-9 off 95 overs, with them just 29 runs short of a first-innings lead, after Shermon Lewis retired hurt after apparently feeling ill on the field. Greaves was left stranded on 12.
Louis took 4-46 while Cornwall took 4-102 for the Hurricanes.
At stumps, the Hurricanes reached 99-5 off 39 overs. Montcin Hodge has, so far, faced 114 balls for his 45.
Earlier, Preston McSween removed Kieran Powell and Akeem Saunders for four and 11, respectively, to have figures of 2-26 off six overs so far.
Sweden 0-3 Belgium: Lukaku hat-trick gets Tedesco tenure off to flying start
Romelu Lukaku scored a hat-trick as Belgium kicked off a new era under Domenico Tedesco with a 3-0 win over Sweden on Friday in their opening Euro 2024 qualifier.
The Red Devils replaced Roberto Martinez with Tedesco after exiting the World Cup at the group stage, while a number of big names also retired from international football.
Tedesco's tenure got off to a flying start at Friends Arena in Stockholm, where Lukaku's header and a close-range finish either side of half-time had the visitors in control.
Sweden brought on 41-year-old striker Zlatan Ibrahimovic, but Lukaku completed his treble in the 82nd minute to round off a comfortable victory.
Dejan Kulusevski almost gave Sweden the lead when his shot trickled towards goal after Thibaut Courtois got a hand to it, only for Wout Faes to clear off the line.
It was the visitors who opened the scoring 10 minutes before the interval when Dodi Lukebakio's right-sided cross was glanced in by the head of Lukaku.
The on-loan Inter striker doubled his tally with a tap-in from a yard out after Lukebakio burst into the box, got away from his man and once again picked out his team-mate.
Sweden struggled to ask any real questions of Courtois, despite the introduction of Ibrahimovic, and Lukaku made certain of the win when given a simple finish by Johan Bakayoko.
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