Abstract
Let Pn denote the nth prime. We prove that (Formula Presented) for sufficiently large X, improving upon recent bounds of the first, second, third, and fifth authors and of the fourth author. Our main new ingredient is a generalization of a hypergraph covering theorem of Pippenger and Spencer, proven using the Rödl nibble method.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 65-105 |
| Number of pages | 41 |
| Journal | Journal of the American Mathematical Society |
| Volume | 31 |
| Issue number | 1 |
| DOIs | |
| State | Published - 2018 |
ASJC Scopus subject areas
- General Mathematics
- Applied Mathematics