Related papers: Explicit estimates on prime numbers

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This paper has been withdrawn by the author due to an error in the proof of Theorem 6.

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The paper has been withdrawn due to a crucial error in section 3.

This paper has been withdrawn since its content is included in the more general version arXiv:0804.1882

This paper has been withdrawn, as it should not have been a new submission. Please instead see the latest version of arXiv:0904.0436.

This paper has been withdrawn by the authors because it has been combined with "Higher Auslander Algebras Admitting Trivial Maximal Orthogonal Subcategories" (arXiv:0903.0761) together. Please see the new version of the latter paper for the…

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This submission has been withdrawn by arXiv admins because it contains inappropriate overlap with arXiv:physics/0603087.

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This paper has been withdrawn by the author, due to a crucial error in page 5.

This paper has been withdrawn. It was an early draft submitted prematurely in error. A complete version is to be submitted shortly.

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The paper has been withdrawn due to an error in Lemma 1.

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