The track, which trailers their seventh studio album III, overtakes midweek leaders Band Aid 30 to take the top spot by just 2,500 copies.
The trio told OfficialCharts.com: "We cannot believe it, we're really made-up and we can't thank everybody enough."
The feat earns the now three-piece band their 12th Number 1 single and first chart-topper in six years after 2008’s Greatest Day.
Elsewhere, Olly Murs and Travie McCoy hold at Number 3 with Wrapped Up, Ed Sheeran remains at 4 with Thinking Out Loud, and Clean Bandit’s Real Love rounds out the Top 5.
Singer and producer Labrinth wins his fifth Top 10 single with Jealous, which debuts at Number 7, and McBusted land at Number 12 with their first single as a supergroup Air Guitar. The song heads up their self-titled album, which is released on Monday.
Meanwhile, Jennifer Lawrence scores her first UK Top 40 single as a featured artist this week with The Hanging Tree. The song, which features on the new Hunger Games: Mockingjay – Part 1 soundtrack, is by James Newton Howard and is new at Number 14.
BRITs Critics’ Choice 2015 nominee James Bay enters at 18 with Hold Back The River, while fellow shortlisted act Years & Years debut at 22 with Desire.
Finally, David Guetta and Emeli Sande’s What I Did For Love (24), Kiesza’s No Enemiesz (30) and Beyonce’s 7/11 (36) all make their Top 40 debut this week.
|1||THESE DAYS||TAKE THAT|
|2||DO THEY KNOW IT'S CHRISTMAS||BAND AID 30|
|3||WRAPPED UP||OLLY MURS FT TRAVIE MCCOY|
|4||THINKING OUT LOUD||ED SHEERAN|
|5||REAL LOVE||CLEAN BANDIT FT JESS GLYNNE|
|6||STEAL MY GIRL||ONE DIRECTION|
|8||BLANK SPACE||TAYLOR SWIFT|
|9||DANGEROUS||DAVID GUETTA FT SAM MARTIN|
|10||ALL ABOUT THAT BASS||MEGHAN TRAINOR|
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