The 18th-ranked Buckeyes scored the first 10 points of the game and held a 20-4 advantage by the midway point of the first half. They never looked back, taking a 42-12 lead into the break.
Unlike their previous three games, the Buckeyes (4-0) suffered no letdown in the second half as they cruised to the 47-point win.
This game-opening 10-0 run had Prahalis' fingerprints all over it as the senior point guard scored eight of the points and assisted on the other basket, a layup by Amber Stokes.
Prahalis got the Buckeyes on the board with a short jumper in the lane then sandwiched a pair of three-pointers around Stokes' basket.
The Seawolves finally got on the board with a pair of free throws by Jessica Previlon at the 15:38 mark, but that was not a sign things were about to improve. Far from it.
After Ohio State freshman Kalpana Beach made a five-foot jumper from the baseline, Kelly Krueger made the visitors' first field goal, a 10-footer with 14:41 left in the first half.
The Buckeyes outscored the Seawolves 26-3 over the next 10-plus minutes to remove any doubt about the eventual outcome.
The Seawolves picked up their seventh team foul at 6:47 mark to match their point total at that point.
Stony Brook missed 16 of its first 17 shots (a shooting percentage of 5.9) and checked in at 4 for 31 (12.9 percent) overall in the first half.
The Seawolves finally hit double-digits in the scoring column with a Talisha Bridges free throw at the 2:30 mark. That made it 38-10.
Unofficially, the visitors had as many shots that did not hit iron (four) as made field goals. They were outrebounded 30-12 and went 0 for 10 from three-point range.
The Seawolves' 12 points are the fewest scored by a Buckeye opponent in the first half since Longwood scored nine Nov. 30, 2006.
Every Buckeye in uniform played at least four minutes in the first half, and the only one not to score by the end of the contest was freshman guard Shelbi Honeycutt.