The Buckeyes defeated Indiana, 56-14, Saturday afternoon in Columbus.
The rest of the top five remained unchanged in both polls.
Georgia remains the No. 1 team in the country, Michigan ranks third, TCU is fourth and Tennessee still is ranked No. 5.
Penn State is ranked No. 11 in the AP poll and No. 12 in the Coaches poll.
Ohio State will find out where they rank in the next College Football Playoff standings on Tuesday.
The Buckeyes next game will Saturday afternoon at Maryland.
Kickoff is at 3:30 p.m. from College Park, Maryland.
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