I am Double Myself

I am a prime number.
The double of myself is equal to the square of me.

which number am I?




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There are people and strange monkeys on this island, and you can not tell who is who (Edit: until you understand what they said - see below). They speak either only the truth or only lies.
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In Canada, a mathematical puzzle must be solved in order to win the lottery to classify it as a “game of skill” not gambling.