WASHINGTON — The 37th time won’t be the charm. But House Republicans are charging forward anyway this week on a vote to repeal President Obama’s signature health care overhaul, which will put the number of times they have tried to eliminate, defund or curtail the law past the three-dozen mark.

“This is what, the 40th time they’re going to do it?” scoffed Representative Nancy Pelosi of California, the Democratic leader, confessing that she had lost count. “Thirty-eight? 39? 40? 41?” She eventually settled on “high 30s” as her best guess.

Three dozen is a lot for a bill that currently has no prayer of becoming law. But the figure 37 actually understates the amount of time Republicans have devoted to litigating and trying to dismantle the president’s biggest legislative accomplishment.

The repeal vote, which is likely to occur Thursday, will be at least the 43rd day since Republicans took over the House that they have devoted time to voting on the issue.