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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These types of puzzles are known as charades. What you have to do is to find two words that are referred to in the first stanza and the second stanza and put them together to form the third word in the third stanza.

Just for example, if my first refers to 'off' and my second refers to 'ice', then my whole will be the 'office'.

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My second is my first of space
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My whole describes a lack of site -
A place without length, breadth, or height.

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