Supelec Centrale 25: mathematics 1.
In this article you'll find suggested answers for the Maths 1 MP subject of the Centrale Supelec 2025 competitive exam.
Initially, we are interested in counting prime numbers: \[ \begin{alignat*}{1} \pi(x) &= \# \{p\text{ premier},p\leqslant x\} \end{alignat*} \]
Arithmetic, then, with some of the same questions as in Maths A XENS 2024.
We were reminded, without proving the result: \[ \begin{alignat*}{1} \pi(x) &\underset{x\to+\infty}{=} \frac{x}{\ln x} \end{alignat*} \]
But the main object of the subject was to demonstrate the irrationality of \[ \begin{alignat*}{1} \zeta(2) &= \sum_{n=1}^{+\infty} \frac{1}{n^2} \end{alignat*} \]
Correction of the Maths 1 MP subject on April 28 for the Centrale Supelec 2025 competition:
Find out more here: