Changes in digits of primes

Date/heure
2 décembre 2021
14:30 - 15:30

Lieu
Salle Döblin

Oratrice ou orateur
Benli Kübra (IECL)

Catégorie d'évènement
Séminaire de Théorie des Nombres de Nancy-Metz


Résumé

Erdős proved that there are infinitely many weakly prime numbers (also called (digitally) delicate primes), i.e. prime numbers such that changing any single one of the digits, in a given base, with any other digit always results in a composite number. Tao proved that weakly prime numbers constitute a positive proportion in all prime numbers. In this talk, we are going to discuss further quantitative refinements on the distribution of weakly prime numbers.