Bertrand-Chebyshev theorem
التعريفات والمعاني
== English ==
=== Etymology ===
From the surname of Joseph Louis François Bertrand, who conjectured the theorem, and the surname of Pafnuty Chebyshev who proved it.
=== Proper noun ===
Bertrand-Chebyshev theorem
(mathematics) the theorem that there is at least one prime number between n and 2n for every n>1, i.e.:
∀
n
∈
N
:
n
>
1
⇒
∃
p
∈
P
:
n
<
p
<
2
n
{\displaystyle \forall n\in \mathbb {N} :n>1\Rightarrow \exists p\in \mathbb {P} :n<p<2n}