If the special Senate election in Massachusetts has put the political cognoscenti to sleep, a possible race in neighboring New Hampshire may wake them up.

Scott P. Brown, who just turned down a chance to run again for the Senate in Massachusetts, is hinting that he might hop over the state line and challenge Senator Jeanne Shaheen, a Democrat who is up for re-election in 2014.

Asked Thursday if he might consider such a race, Mr. Brown said, “I don’t think I’m done with politics, but I’m not going to rule out anything right now because I really haven’t thought a heck of a lot about it.” He spoke to reporters after delivering a speech in Nashua, N.H., on the 45th anniversary of the Rev. Dr. Martin Luther King Jr.’s assassination.

“New Hampshire’s like a second home,” Mr. Brown added. “I was born at the Portsmouth Naval Shipyard. My mom and sister and family live here. Spent summers here growing up. Have a house here. Been a taxpayer for 20 years.”