For any positive integer k, we show that infinitely often, perfect kth powers appear inside very long gaps between consecutive prime numbers, that is, gaps of size (formula) where p is the smaller of the two primes.
|Original language||English (US)|
|Title of host publication||Analytic Number Theory|
|Subtitle of host publication||In Honor of Helmut Maier's 60th Birthday|
|Number of pages||10|
|State||Published - Jan 1 2015|
ASJC Scopus subject areas
- Computer Science(all)