On the first sign change of θ(x) - x
classification
🧮 math.NT
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thetacdotchangefirstsignthere
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Let $\theta(x) = \sum_{p\leq x} \log p$. We show that $\theta(x)<x$ for $2<x< 1.39\cdot 10^{17}$. We also show that there is an $x<\exp(727.951332668)$ for which $\theta(x) >x.$
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