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PRIME NUMBERS: A MODERN ISSUE FOR A MODERN AUDIENCE This presentation will develop along three axes: first of all, we will show that the theory of prime numbers and more generally the multiplicative theory of numbers is very current and in particular that several very innovative results have recently been established by young mathematicians; then, we will explain very concretely that, here again contrary to what we hear quite often, demonstrations can in no case be replaced by convincing arguments; and finally, we will show practically that essential problems are not beyond the reach of a young audience by giving a modern and rapid proof of a result, the Brun-Titchmarsh inequality, any improvement of which would have major repercussions. ---------------------------------- You can join us on social networks to follow our news. Facebook: / instituthenripoincare Twitter: / inhenripoincare Instagram: / instituthenripoincare LinkedIn: / 11054846