Dan J. Sullivan has advanced from Alaska’s U.S. Senate primary. Sullivan goes by Dan Sullivan, the same name as the Republican incumbent. He was one of the four top vote-getters after the state’s Aug. 18 primary election and advanced on Tuesday. The incumbent and Democrat Mary Peltola had advanced earlier. Dan J. Sullivan, a retired teacher from the small island community of Petersburg, successfully sued for a spot on the ballot. A top state elections official had said he filed his candidacy with an intent to confuse voters, but a judge invalidated the decision.