The two injured victims were being treated in nearby hospitals, Laure Beccuau, the prosecutor whose office is handling the case, told reporters.
Counter-terror prosecutors are investigating a knife attack carried out near Paris on Friday, the French Ministry of Justice said.
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France's anti-terrorism prosecutor has taken over the investigation into Friday's fatal knife attack near Paris.
Officials praised the actions of police, saying it was likely the attacker would have claimed more victims.
Paris has suffered major attacks by Islamist militants in recent years.
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Police said the man appeared to be wearing an explosive vest and had made off towards a Carrefour supermarket just under a mile away where he was 'neutralised, ' shot several times and died at the scene. Earlier a local magistrate told a press conference that Nathan C. had shouted the Muslim invocation "Allahu Akbar" (God is Greatest) during the attack. He described the police response as an "extremely courageous act".
The man was not known to domestic intelligence services and had no criminal record, the spokesman said, adding, "We don't have evidence that would allow us to suppose there has been a radicalization".
A local mayor said one person was killed and several injured in the attack, but police could not immediately confirm the death or the number of injured people.
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She added that her goals are career driven as she is about to graduate and is looking for a steady job to support herself. If your resolution is to lose weight, be specific, such as: "I plan to lose 15 pounds by the end of the year".
In October a year ago, an office worker at a police headquarters who is thought to be influenced by radical Islamism killed four colleagues in Paris.