Related papers: Explicit estimates on prime numbers

The paper was withdrawn because of its significant overlap with a paper appeared recently.

The paper has been withdrawn by the author, due to it being fundamentally flawed. The author apologizes for any inconvenience it may have caused.

This submission has been withdrawn by arXiv administrators because it is a duplicate of 0705.0667.

This paper has been withdrawn

This paper has been withdrawn by the author: it was a too preliminary version.

The paper has been withdrawn

The results in the recently posted manuscript arXiv:math/0405153v3 are incorrect. The correct version of the aimed results is not original. The preprint contains material from references that are not properly quoted.

This paper has been withdrawn by the author due to an error estimate in Lemma 3.1.

Withdrawn; replaced by longer, more detailed paper quant-ph/0010065.

This paper has been withdrawn by the author due to the incorrect argument for the security.

This paper has been withdrawn by the author; see the much expanded, improved, and generalized version at arXiv:0811.2080.

This paper has been withdrawn at the author's request.

This paper was withdrawn on 20.11.97.

Withdrawn due to critical error.

This paper has been withdrawn to allow publication elsewhere.

This paper has been withdrawn by the author, due an error in the proof of Proposion 2.13.

This paper has been retracted.

This paper has been withdrawn by the author due to a crucial error.

Withdrawn by arXiv administration because authors have forged affiliations and acknowledgements, and have not adequately responded to charges [hep-th/9912039] of unattributed use of verbatim material.

This paper is withdrawn. See quant-ph/9806031 for a discussion.