Explicit Estimate on Primes between Consecutive Cubes
@article{Cheng2008ExplicitEO, title={Explicit Estimate on Primes between Consecutive Cubes}, author={Y. Cheng}, journal={arXiv: Number Theory}, year={2008} }
We give an explicit form of Ingham's Theorem on primes in the short intervals, and show that there is at least one prime between every two consecutive cubes $x\sp{3}$ and $(x+1)\sp{3}$ if $\log\log x\ge 15$.
8 Citations
Subclasses of presburger arithmetic and the weak EXP hierarchy
- Mathematics, Computer Science
- CSL-LICS
- 2014
- 34
- Highly Influenced
- PDF
References
SHOWING 1-10 OF 44 REFERENCES
A classical introduction to modern number theory
- Mathematics, Computer Science
- Graduate texts in mathematics
- 1982
- 2,363