The White Sox are on pace to eclipse the 1962 Mets for the most losses in one season in baseball’s modern era (since 1901), and that’s the team that dealt the Yankees a jarring 12-2 loss in Monday’s series opener.

At a woeful 29-91, the White Sox’s .242 winning percentage would translate to a record of 39-123 over the 162-game schedule — or three more losses than Casey Stengel’s expansion Mets (40-120) posted in their inaugural season 62 years ago.

The 2003 Tigers came the closest to matching the Mets’ total with a 43-119 mark.

Such futility by the White Sox — who have had separate losing streaks of 14 and 21 games this season — got me thinking about some horrible teams I’ve covered in more than three decades as a New York sportswriter, some as a beat writer and others on a semi-regular basis.