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He also reportedly apologized to former President Bill Clinton, who officiated at Mr. Weiner’s wedding last July.

Mr. Weiner, who had been eyeing a 2013 run for New York City mayor, has been dormant since his tearful Monday news conference. His wife, who has been out of the country on official business with Mrs. Clinton, also hasn’t spoken publicly about the scandal.

The White House continues to decline to comment on the scandal.

House Minority Leader Nancy Pelosi, California Democrat, on Tuesday sent a letter to the House ethics committee asking for a formal investigation to determine whether Mr. Weiner broke chamber rules.

The Senate’s No. 1 Democrat on Tuesday also said he couldn’t defend the New Yorker, but stopped short of asking him to resign.

“I know Congressman Weiner. I wish there were some way I could defend him, but I can’t,” said Senate Majority Leader Harry Reid, Nevada Democrat.

Some Republicans also haven’t been shy to demand that Mr. Weiner step down.

“I don’t think we need to spend taxpayer dollars investigating whether or not Anthony Weiner is a creep or not,” Republican National Committee Chairman Reince Priebus said Wednesday on NBC’s “Today” program. “The leaders of the Democratic Party ought to talk to Anthony Weiner and tell him that he needs to go.”

House Majority Leader Eric Cantor, Virginia Republican, also has said Mr. Weiner should step down, saying Congress was too busy with other matters to deal.

A NY1-Marist Poll survey conducted hours after Mr. Weiner admitted to sending the lewd photo on Twitter showed that 51 percent of New York City voters said Mr. Weiner shouldn’t resign from Congress, with 30 percent said he should step down. Eighteen percent said they aren’t sure.

With Mr. Weiner’s mayoral aspirations critically damaged — if not over — actor Alec Baldwin, long thought to be considering a political career, may jump into the race.

“I wouldn’t rule it out,” his publicist Matthew Hiltzik said, responding to a report in the Daily online publication, which reported that the star of television’s “30 Rock” believed the Weiner scandal had improved his chances to become mayor.

c This article is based in part on wire service reports.