Leon Draisaitl, Evan Bouchard, Trent Frederic and Jake Walman scored for Edmonton, while McDavid chipped in with three assists to give him an NHL-leading 103 points on the season.
Ingram made 28 saves.
The Oilers tied it twice in the opening eight minutes of the third period with Frederic making it 3-3 off a good feed from Matt Savoie early in the period and Walman answering a goal from Alexander Wennberg to tie it 4-4.
But Mukhamadullin’s goal gave San Jose the win.
The Sharks controlled the play for most of the first period and built a 3-1 lead with help from a major miscue by Ingram midway through the period. He left his net to retrieve his lost stick after the puck cleared his zone. But San Jose got possession and Celebrini fired the puck into an open net for the first goal of the game.
The Oilers got back within one goal in the second period when they capped a long shift in the offensive zone with a one-timer by Bouchard off a feed from McDavid.
UP NEXT
Oilers: Host the Ottawa Senators on Tuesday.
Sharks: Host the Winnipeg Jets on Sunday.
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AP NHL: https://apnews.com/hub/nhla
Josh Dubow, The Associated Press