Mertens' first theorem
Theorem that the sum of log(p)/p over primes up to n approximates log(n)
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Mertens' first theorem
Summary
Mertens' first theorem is a theorem[1].
Key Facts
- Mertens' first theorem is credited with the discovery of Franz Mertens[2].
- Mertens' first theorem's instance of is recorded as theorem[3].
- Franz Mertens is named after Mertens' first theorem[4].
- Mertens' first theorem's part of is recorded as Mertens' theorems[5].
- Mertens' first theorem's time of discovery or invention is recorded as +1874-00-00T00:00:00Z[6].
- Mertens' first theorem's defining formula is recorded as |\sum_{p: p\leq n}\frac{\log p}{p} - \log n|\leq 2[7].
- Mertens' first theorem's maintained by WikiProject is recorded as WikiProject Mathematics[8].
- Mertens' first theorem's in defining formula is recorded as ||[9].
- Mertens' first theorem's in defining formula is recorded as p[10].
- Mertens' first theorem's in defining formula is recorded as \log[11].
- Mertens' first theorem's PlanetMath ID is recorded as MertensFirstTheorem[12].
Body
Works and Contributions
Mertens' first theorem is credited with the discovery of Franz Mertens[2].