Intervenant : Jan-Christoph Schlage-Puchta (Freiburg)

"Consecutive integers with the same number of
prime divisors"



Date et heure : lundi 27 mars, 16h30

Résumé :

It is shown that there are infinitely many integers n such that n and n+1
have the same number of prime factors. The proof uses a combination of
sieve methods, elementary number theory and computer calculations.