BEVERLY HILLS, Calif.—Hustler magazine publisher Larry Flynt reveled in Republican Sen. David Vitter’s admission of a “very serious sin” involving an escort service and said he has leads on embarrassing sexual activities involving other members of Congress.

Vitter issued the public statement July 9 after Flynt’s magazine contacted him and said phone records linked him to a Washington, D.C., service that federal prosecutors say was a prostitution ring.

Flynt said he was indignant over what he called hypocrisy represented by Vitter, 46, a social conservative who has stressed an anti-gay, pro-marriage agenda.

Flynt has offered to pay $1 million to anyone who can show he or she had a sexual encounter with a member of Congress or a high-ranking government official. He said the offer has produced promising tips.

“We’ve got 20-some investigations that all look good,” Flynt said during a news conference at his Beverly Hills office.

Flynt said he was outraged over years of government investigations into his own life, and time he had spent in prison.

“This is payback time,” he said. “I’m not exposing anyone’s sex life. …I’m only exposing the hypocrisy.”