Bertrand's postulate

by adityaguharoy, Jun 4, 2017, 2:09 PM

Bertrand's postulate
For every positive integer $n$, prove that there is at least one prime $p$ in the interval $(n,2n]$ .
number theory
prime numbers
Bertrand s postulate
combinatorics
combinatorial-number theory

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I will be soon posting a proof which I have written on my exercise copy, but it will take long time to type and post. So, I will post it when I get time.
If anyone else wants to post a proof, please let me know by sending me message at AoPS.

by adityaguharoy, Jun 4, 2017, 2:10 PM

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It's also called chebychev theorem or erdos as they proved it independently.

by SpiceGuy, Jan 18, 2018, 3:52 AM

The oldest, shortest words — "yes" and "no" — are those which require the most thought.

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