FORT WORTH, Texas -- TCU made its first Big 12 victory a memorable one and left the fifth-ranked Kansas Jayhawks with their first losing streak in more than seven years.

The Horned Frogs finally won in their new conference, leading throughout against the Big 12's most dominant team in a 62-55 victory Wednesday night. It was their first-ever win over a top-5 team.

"It means a lot. Obviously we've had some tough years," Frogs senior forward Garlon Green said. "We've had a tough year right now, but this is a big win. We need to carry this momentum."

Green scored 20 points for the Horned Frogs, including five in a row after a late 17-4 spurt by Kansas (19-3, 7-2 Big 12).

Naadir Tharpe scored nine points in a 2-minute span, with a 3-pointer and six consecutive free throws, before a dunk by Jeff Withey with 6:49 left got the Jayhawks within 44-40 -- the closest they had gotten since TCU scored the game's first eight points.