Mertens' third theorem
Theorem that the product of (1 - 1/p) for primes p up to n, times log(n), approaches e^(-gamma)
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Mertens' third theorem
Summary
Mertens' third theorem is a theorem[1].
Key Facts
- Mertens' third theorem is credited with the discovery of Franz Mertens[2].
- Mertens' third theorem's instance of is recorded as theorem[3].
- Franz Mertens is named after Mertens' third theorem[4].
- Mertens' third theorem's part of is recorded as Mertens' theorems[5].
- Mertens' third theorem's time of discovery or invention is recorded as +1874-00-00T00:00:00Z[6].
- Mertens' third theorem's defining formula is recorded as \lim_{n\to\infty}\log(n)\prod_p(1 - \frac{1}{p}) = e^{-\gamma}[7].
- Mertens' third theorem's maintained by WikiProject is recorded as WikiProject Mathematics[8].
- Mertens' third theorem's in defining formula is recorded as \gamma[9].
- Mertens' third theorem's in defining formula is recorded as e[10].
- Mertens' third theorem's in defining formula is recorded as p[11].
- Mertens' third theorem's in defining formula is recorded as \prod[12].
Body
Works and Contributions
Mertens' third theorem is credited with the discovery of Franz Mertens[2].