Question: When did the Wright brothers make the famous flight at Kitty Hawk, North Carolina?
About the article "Wright Brothers flights of 1909", section "Abstract".

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Kitty Hawk became famous after the Wright brothers of Dayton, Ohio, made the first controlled powered airplane flights at the Kill Devil Hills, four miles (6 km) south of the town, on December 17, 1903.
After the flights, the brothers walked back to Kitty Hawk, where they sent a telegram from the Weather Bureau office to their father informing him of their success.
Kitty Hawk is often mistakenly credited as the site of the powered flights.
The Wrights chose the area because its frequent winds and soft sandy surfaces were suitable for their glider experiments, which they conducted over a three-year period prior to making the powered flights.
The aircraft carrier USS "Kitty Hawk" (CV-63), the B-2 Spirit stealth bomber AV-19 with an aircraft number of 93-1086, the aircraft transport ship USS "Kitty Hawk" (AKV-1), and the Apollo 14 command module have been named for the town, which incorporated in 1981. 
USS "Kitty Hawk" (APV-1/AKV-1), formerly SS "Seatrain New York", was built in 1932 by Sun Shipbuilding & Drydock Corporation of Chester, Pennsylvania for Seatrain Lines, Inc. She was acquired by the United States Navy on 25 June 1941; and renamed "Kitty Hawk" on 8 July.
She was named after Kitty Hawk, North Carolina where the Wright brothers made the world's first powered heavier than air flight on 17 December 1903.
She was converted to an aircraft transport by Tietjin & Land Dry Dock Corporation, Hoboken, New Jersey and commissioned on 26 November 1941, at New York Navy Yard, with Commander E. C. Rogers in command. 
 11 July - The Wright brothers arrive for their second season at Kitty Hawk, North Carolina, during which they will test their 1901 glider.
27 July - Wilbur Wright makes 17 flights in the Wright 1901 glider on the first day of the gliders flight trials at Kitty Hawk.
31 July – German meteorologists Berson and Süring climb to 10,800 m (35,433 ft) in a free balloon.
8 August – Wilbur Wright achieves a flight of 389 feet (118.5 m) at Kitty Hawk, North Carolina, in the Wright 1901 glider.
14 August - Gustave Whitehead reportedly flies his engine-powered Whitehead No.
21 meters at a height of , after taking off unaided in Fairfield, Connecticut, U.S.A..
This claim is now accepted by Jane's All the World's Aircraft as the first sustained powered, controlled flight of a heavier-than-air craft, although some authorities, including the Smithsonian Institute, disagree.
It precedes the Wright Brothers' first assisted-takeoff flight by some two years.
3 October – Wilhelm Kress trials his "Drachenflieger" twin-hulled tandem triplane seaplane, the first powered marine aircraft, in Austria-Hungary.
It begins to become airborne when Kress slows and tries to turn to avoid an obstruction, capsizing the aircraft.
19 October – Brazilian Alberto Santos-Dumont collects the FF100,000 (USD $50,000) Deutsch de la Meurthe prize by flying his dirigible "Number 6" from the Aero Club at Saint-Cloud, Paris, around the Eiffel Tower, and back in less than one hour.
The flight in fact takes only 29 minutes 30 seconds despite a stiff headwind on the return leg.
29 October – The Aero Club of the United Kingdom, predecessor of the Royal Aero Club, is established.
22 November - The Wright brothers begin wind tunnel experiments at Dayton, Ohio, to optimise the wing design of what will become their 1902 glider.
During their experiments, which last into December, they will in essence develop the modern understanding of aerodynamics.  
Kill Devil Hills is a town in Dare County, North Carolina, USA.
The population was 6,683 at the 2010 census, up from 5,897 in 2000.
The town is home to the site of the Wright brothers' first controlled, powered airplane flights on December 17, 1903.
Kitty Hawk, popularly noted as the site of the famous flights, is approximately four miles (6 km) to the north.
The town received its municipal charter in 1953. 
In 2003 Daniels' granddaughter participated in 100th anniversary First Flight Ceremonies at Kill Devil Hills, Kitty Hawk, North Carolina.
On December 17, 2012 the great-grand niece of the Wright Brothers, Kate Jameson (through their sister Leontine Wright, later Jameson) reunited with the great-grandson of photographer John T Daniels, also named John Daniels.