Almost primes in almost all short intervals
Let Ek be the set of positive integers having exactly k prime factors. We show that almost all intervals [x, x + log1+ϵ x] contain E 3 numbers, and almost all intervals [x,x + log3.51 x] contain E 2 numbers. By this we mean that there are only o(X) integers 1 ⩽ x ⩽ X for which the mentioned interval...
| Huvudupphovsman: | |
|---|---|
| Materialtyp: | Journal article |
| Publicerad: |
Cambridge University Press
2016
|
Liknande verk
Bounded length intervals containing two primes and an almost-prime
av: Maynard, J
Publicerad: (2013)
av: Maynard, J
Publicerad: (2013)