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Proof of Bertrand's Postulate
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High Quality Content by WIKIPEDIA articles! In mathematics, Bertrand's postulate (actually a theorem) states that for each n 2 there is a prime p such that n p 2n. It was first proven by Pafnuty Chebyshev, and a short but advanced proof was given by Srinivasa Ramanujan. The gist of the following elementary but involved proof by contradiction is due to Paul Erd s, the basic idea of the proof is to show that a certain binomial coefficient needs to have a prime factor within the desired interval in order to be large enough.

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Stand: 09.07.2020
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