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Results tagged with prime-number-theorem
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user 101078
The Prime Number Theorem is a theorem that describes the distribution of the primes. It says that the number of primes less than or equal to a real number $x$ is asymptotic to $\frac{x}{\ln x}$.
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Asymptotics of $\operatorname{lcm} ((2-1), (3-1), (5-1), (7-1), (11-1), \dotsc, p_n-1 )$
It is true that $\ln L(n)=o(p_n)$ for $n\to+\infty$. To prove it, let us get a bound for contribution of large primes into $\ln L(n)$ and then estimate the contribution of the rest trivially. Choose a …
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