@article{3ad98d11a35645149448d33e0ccfe53b,
title = "On the first sign change of θ(x)-x",
abstract = "Let θ(x) = Σp≤x log p. We show that θ(x) < x for 2 < x < 1.39 · 1017. We also show that there is an x < exp(727.951332668) for which θ(x) > x.",
keywords = "Oscillation theorems, Sign changes of arithmetical functions",
author = "Platt, \{D. J.\} and Trudgian, \{T. S.\}",
note = "Publisher Copyright: {\textcopyright} 2015 American Mathematical Society.",
year = "2016",
doi = "10.1090/mcom/3021",
language = "English",
volume = "85",
pages = "1539--1547",
journal = "Mathematics of Computation",
issn = "0025-5718",
publisher = "American Mathematical Society",
number = "299",
}