Abstract
We study the parallel properties of the Ramanujan primes and a symmetric counterpart, the Labos primes. Further, we study all primes with these properties (generalized Ramanujan and Labos primes) and construct two kinds of sieves for them. Finally, we give a further natural generalization of these constructions and pose some conjectures and open problems.
| Original language | English |
|---|---|
| Journal | Journal of Integer Sequences |
| Volume | 15 |
| Issue number | 5 |
| State | Published - 29 May 2012 |
Keywords
- Bertrand postulate
- Labos prime
- Over-Labos prime
- Over-Ramanujan prime
- Prime gaps
- Ramanujan prime
ASJC Scopus subject areas
- Discrete Mathematics and Combinatorics