dude he learn it in order to finish his jedi training, it is well known that he do come back to Yoda and finish his jedi training... so he learn to build a light saber with yoda between episode 5 and 6...
His primary weapon is a lightsaber
yes.
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Luke Skywalker's original lightsaber, from Obi Wan Kenobi, was blue. However, in a fight with Darth Vader, he cuts off Luke's hand with the blue lightsaber. After this, when he got a new hand, Luke decided to get a new lightsaber. The new one was green. P.S. Skywalker is not hyphenated.
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Luke's sword is named Anakin Skywalker's lightsaber.
Luke Skywalker didn't cut open anything. His half-dead body was shoved into a Tauntaun that Han Solo cut open using Luke's lightsaber on planet Hoth.
They had two lightsabre - or lightsaber, I'm not sure which it is - duels.
It was cut off at the cloud city of Bespin when he was lightsaber dueling with Darth Vader
To the best of my knowledge he sees his lightsaber and severed hand falling below him.
Jacen, Leia's son, killed him in a lightsaber duel.
No. Luke Skywalker is a fictional character.