I understand all the other ones, but the $B'_L$ has me stumped. What does it mean and why is it equal to 1?
What is $B'_L$ and why is it equal to 1?
7
$\begingroup$
notation
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0I have a watch with that symbol and, like the original poster, it was the only one I couldn't figure out. I agree that it appears to be Legendre's constant. – 2018-02-14
1 Answers
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It seems this is Legendre's constant
$ B^\prime_L = \lim_{n \to \infty}\left ( \log n - \frac{n}{\pi(n)} \right) $
where $\pi(n)$ stands the number of primes not exceeding $n$.
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3Álvaro Lozano-Robledo says in his MO answer that $B$ comes from Legendre, speculates that the subscript $L$ was added as a tribute to Legendre, and expresses puzzlement on the source of the apostrophe. – 2011-08-14