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 smaller upper bound for the first x for which the difference is positive. Third, we use numerical computations to improve the final result.
Original language | English |
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Pages (from-to) | 2433-2446 |
Number of pages | 14 |
Journal | Mathematics of Computation |
Volume | 84 |
Issue number | 295 |
DOIs | |
Publication status | Published - 2015 |