"Maybe this record will be broken but it will be hard".
At +79, City beat the goal difference record of +71 set by Chelsea in 2009-10.
Dejan Lovren added a second before Dominic Solanke and Andrew Robertson scored their first goals for Liverpool to complete a routine victory in its last match before playing the Champions League final against Real Madrid on May 26.
Manchester City's season looked to be heading for an equally underwhelming end after they failed to register a single first-half shot on target at St Mary's where Southampton knew they would be safe provided City did not run riot. The London club finished fifth after a 3-0 loss at Newcastle, in what could prove to be Antonio Conte's last league game as manager.
Jesus latched onto Kevin De Bruyne's long ball in the 94th minute to lob the keeper, prompting incredible scenes in the away end as City became the first team ever to reach 100 points in an English top-flight campaign, even going back beyond the Premier League era.
His 32-goal haul was two more than Harry Kane, the victor for the past two seasons.
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"Everybody always thinks the grass is greener and there's something better out there".
With a 19-point advantage over United, City outperformed their rivals' 1999-2000 margin of 18 over Arsenal.
Everton boss Sam Allardyce admitted to doubts about his own future following rumours that he will be sacked.
Forward Wilfried Zaha and full-back Patrick van Aanholt scored in the second half as the Eagles finished 11th.
"There were two scenarios if we went down or we stayed up".
Andy King had briefly raised home hopes with an early goal, but Peter Crouch and Badou Ndiaye turned the tables on Swansea to seal their fate.
"It's not for me to put any pressure on anybody but if the club feels that they want to put some meat on the bones in terms of the discussion then I am open to that, but I don't really want to discuss it before the game at the weekend".