Between $n$ and $2n$ there is always a prime number.
I was thinking of this and looked it up on the google to find that this is true. Now, I am wondering what is the proof for it? Does any elementary proof exist for it?
Thank you.
2026-04-02 12:37:36.1775133456
Between $n$ and $2n$ there is always a prime number.
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Yes, many elementary proofs are known. Apart from the the original proof of Chebyshev's theorem, have a look at the Erdos' elementary proof - you can find it also in Proofs from THE BOOK.