Bertrand's Postulate and Erdős' Proof

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Gear300
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Hello.
Is there a quick proof for showing that the next prime is within twice the current prime?

Edit:

Never mind. Erdős had given a proof of this (of Bertrand's postulate to be precise) at a fairly young age.

http://www3.nd.edu/~dgalvin1/pdf/bertrand.pdf
 
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