ST. PAUL, Minn. -- A Minnesota state lawmaker who authorities say admitted having a liaison with a 17-year-old boy at a rest stop faced calls from party leaders Monday to give up his re-election bid.

Rep. Kerry Gauthier, 56, hasn't been charged in the July incident, and authorities said he wouldn't be because the boy was older than 16, the legal age of consent, and no money was exchanged. Police say the teenager responded to the lawmaker's Craigslist ad for "no strings attached" sex.

Gauthier admitted to the liaison, according to police reports made public late last week. The teen told police the two had oral sex, according to the reports.

The scandal has hurt Democrats' hopes of retaking at least one chamber of the Legislature. They need to pick up at least six seats in the House, and Gauthier's Duluth-area seat usually is reliably Democratic. But if he drops out, any Democrat seeking to replace him would have to run as a write-in candidate, making the race much more difficult to win.

Still, Democratic leaders called on Gauthier to withdraw from the race. House Minority Leader Paul Thissen, D-Minneapolis, said he was "deeply disappointed" in Gauthier's conduct and wants him to step aside.

"As I shared with Rep. Gauthier, I believe he should withdraw from the race for re-election," Thissen said in a statement released by his office.

Less than an hour later, state Democratic Party Chairman Ken Martin echoed Thissen's comments, although neither man asked Gauthier to leave office before his term ends in January.

"His actions are inexcusable," Martin said. "No one in our party condones what he did, nor will we defend him in this matter."

Gauthier hasn't commented to reporters about the incident. A call to his cellphone rolled to voicemail Monday. Thissen's statement said he expects Gauthier to "address these issues publicly and soon."

Gauthier was hospitalized for an undisclosed condition until last weekend, which prompted Thissen to wait to issue his statement. House Speaker Kurt Zellers, a Republican, on Friday urged Gauthier to resign.

House Majority Leader Matt Dean, another Republican, said Monday that simply withdrawing his candidacy does not go far enough.

"I don't see any reason for him not to resign," Dean said. It's "the appropriate thing for him to do."

Republicans note that simply forgoing a re-election campaign still would entitle Gauthier to salary and benefits for four more months. Some lawmakers were preparing an ethics complaint against him should he stay, said House GOP spokeswoman Jodi Boyne.

Gauthier was elected in 2010 with 73 percent of the vote. He is not married.

Duluth City Councilor Jay Fosle already has filed paperwork to run as a write-in candidate against Gauthier and Republican nominee Travis Silver.

The Duluth News Tribune reported that Erik Simonson, an assistant fire chief in Duluth, also plans to run for Gauthier's seat.

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