Prime Minister Hwang Kyo-ahn, who has also been acting president since December, said earlier he would not run for president in the election.
Hwang became acting as president when parliament impeached Park in December. The Constitutional Court upheld Park's impeachment last Friday and dismissed her from office.
Hwang had emerged in opinion polls as a top conservative candidate even though he never declared an intention to run.
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Ousted Park leaves Blue House in disgrace
