On a new property of primes that leads to a generalization of Cramer's conjecture
Abstract
I present a new property of prime numbers that leads to a generalization of Cramer's conjecture. The study of the gap between consecutive primes is treated as a special case of the gap between consecutive terms of sequences having a certain property called pseudo equidistribution. Both rigorous as well as heuristic arguments are given in support of the generalized Cramer's conjectures.
- Publication:
-
arXiv e-prints
- Pub Date:
- October 2010
- DOI:
- 10.48550/arXiv.1010.1399
- arXiv:
- arXiv:1010.1399
- Bibcode:
- 2010arXiv1010.1399K
- Keywords:
-
- Mathematics - Number Theory
- E-Print:
- 10 pages