A surge of city cops filing papers during the past week more than quadrupled last year’s number — as the city grapples with a surge of shootings — and the stampede caused a bottleneck that’s forcing others to delay putting in their papers, officials and sources said.

The NYPD said Wednesday that 179 cops filed for retirement between June 29 and Monday, an astounding 411 percent increase over the 35 who filed during the same period in 2019.

The astonishing rush for the door came as 503 cops filed for retirement between May 25 — the day George Floyd was killed in Minneapolis, sparking anti-cop protests around the country — and July 3, the NYPD said.

That number represents a 75 percent increase over the 287 who filed for retirement during the same time last year, the NYPD said.