Man City are unbeaten in their last 19 Premier League games, conceding just eight goals in that run
A prolific Manchester City equalled a 67-year-old record with a 4-0 win at West Ham, while Mohamed Salah continued his revival in form to help second-placed Liverpool beat Watford 3-0 at Vicarage Road.
Crystal Palace held Manchester United to a goalless draw to end a 29-year losing streak at Old Trafford. That allowed Everton, who beat Cardiff 1-0, to move above them into the top six.
New Fulham boss Claudio Ranieri, who saw his side beat Southampton 3-2, kept up a remarkable record after taking over teams. And Glenn Murray created yet more history for Brighton, but it wasn't enough for victory against Leicester, with their game ending 1-1.
- What happened in the Premier League on Saturday?
Here are the best of Saturday's Premier League stats:
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West Ham have lost all four meetings with Manchester City at the London Stadium in all competitions, scoring just once and conceding 17.
City became the second non-London club to win six consecutive top-flight games in the capital after Portsmouth did so in 1950 and 1951.
Brighton's Glenn Murray made his 100th Premier League appearance. At 35 years and 60 days, he's the ninth oldest outfield player to reach the milestone in the competition.
No English player has scored more goals in Europe's big five leagues this season than Seagulls striker Murray (7).
New Fulham manager Claudio Ranieri has won his first league game in charge of a team in six of his last seven such attempts (L1).
Liverpool are unbeaten in their opening 13 matches of a Premier League season for the first time since 2007-08.
Mohamed Salah has had a hand in six goals in his last five Premier League games for Liverpool (4 goals, 2 assists), as many as he managed in his previous 11.
Mark Hughes has won just three of his 21 Premier League games in charge of Southampton (14.3%), the worst win rate of any Saints manager who has been in the dugout for at least 20 games in the competition.
Crystal Palace picked up their first point in a league game at Old Trafford since winning 2-1 in December 1989. Saturday's draw ended a run of 11 successive defeats away against Manchester United.
Man Utd failed to score in a top-flight home meeting with Crystal Palace for the first time since October 1970.
This was United's 65th 0-0 draw in the 26 seasons of the Premier League - 31% of them have come in the six seasons since Sir Alex Ferguson retired.
Watford have lost three of their last four home top-flight games (W1), as many defeats as they suffered in their previous 15 at Vicarage Road in the Premier League (W8, D4).
Source: bbc.com