Mertens' second theorem
Theorem that the sum of 1/p for primes p up to n approximates log(log(n)) + M
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Mertens' second theorem
Summary
Mertens' second theorem is a theorem[1].
Key Facts
- Mertens' second theorem is credited with the discovery of Franz Mertens[2].
- Mertens' second theorem's image is recorded as Meissel–Mertens constant definition.svg[3].
- Mertens' second theorem's instance of is recorded as theorem[4].
- Franz Mertens is named after Mertens' second theorem[5].
- Mertens' second theorem's part of is recorded as Mertens' theorems[6].
- Mertens' second theorem's time of discovery or invention is recorded as +1874-00-00T00:00:00Z[7].
- Mertens' second theorem's defining formula is recorded as \lim_{n\to\infty}\left(\sum_{p: p\leq n}\frac{1}{p} - \log\log n - M\right) = 0[8].
- Mertens' second theorem's MathWorld ID is recorded as MertensSecondTheorem[9].
- Mertens' second theorem's maintained by WikiProject is recorded as WikiProject Mathematics[10].
- Mertens' second theorem's in defining formula is recorded as M[11].
- Mertens' second theorem's in defining formula is recorded as \lim_{n\to\infty}[12].
- Mertens' second theorem's in defining formula is recorded as \sum[13].
- Mertens' second theorem's in defining formula is recorded as p[14].
Body
Works and Contributions
Mertens' second theorem is credited with the discovery of Franz Mertens[2].