A still sharper region where π(x) - li(x) is positive

Date

2013

Authors

Saouter, Yannick
Trudgian, Tim
Demichel, Patrick

Journal Title

Journal ISSN

Volume Title

Publisher

American Mathematical Society

Abstract

We consider the least number x for which a change of sign of π(x) - li(x) occurs. First, we consider modifications of Lehman's method that enable us to obtain better estimates of some error terms. Second, we establish a new lower bound for the first x for which the difference is positive. Third, we use numerical computations to improve the final result.

Description

Keywords

Skewes' number, prime counting function

Citation

Source

Mathematics of Computation

Type

Journal article

Book Title

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DOI

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