# Last one alive 3

Discrete Mathematics Level 4

10000 people stand in a circle. There is a sword in the hand of the $$1^\text{st}$$ person, he kills the $$2^\text{nd}$$ person and passes on the sword to the third, who kills the fourth and gives the sword to the $$5^\text{th}$$, this goes on until one person is left. At what number was that person standing at the start?

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