91丝瓜视频

TITLE / TITRE

Biases in the distribution of prime numbers.

R脡SUM脡 / ABSTRACT

Prime numbers have interested mathematicians for thousands of years, but we have only been able to prove (thanks to complex analysis!) that they distribute well in congruence classes a couple of hundred years ago. We find that there are "equal" chances for a prime chosen "randomly" to be congruent to 1 or to 3 modulo 4. Having a closer look, Chebyshev noticed that there is howerver a "bias" is this perfect distribution. This talk aims at observing and explaining the origin of the bias, while giving a more precise sense to the words in quoting marks. We will then consider other ways to distribute prime numbers, that are more or less biased.

PLACE /LIEU
Hybride - CRM, Salle / Room 5340, Pavillon Andr茅 Aisenstadt