Abstract
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) |
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Title of host publication | Analytic Number Theory |
Subtitle of host publication | In Honor of Helmut Maier's 60th Birthday |
Publisher | Springer |
Pages | 83-92 |
Number of pages | 10 |
ISBN (Electronic) | 9783319222400 |
ISBN (Print) | 9783319222394 |
DOIs | |
State | Published - Jan 1 2015 |
ASJC Scopus subject areas
- General Mathematics
- General Computer Science