Approximately how many primes less than one trillion $\displaystyle (10^12)$ are there? I.e, compute pi(1000000000000) (Show computation)
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Originally Posted by purplerain Approximately how many primes less than one trillion $\displaystyle (10^{12})$ are there? I.e, compute pi(1000000000000) (Show computation) See this thread (among others). The simplest approximation is: $\displaystyle \pi(x)\approx \frac{x}{\ln(x)}$ so: $\displaystyle \pi(10^{12})\approx \frac{10^{12}}{\ln(10^{12})}\approx 3.619 \times 10^{10}$ CB
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