Mertens' Second Theorem

Mertens' second theorem states that the asymptotic form of the harmonic series for the sum of reciprocal primes is given by

sigma (1/p) = ln(ln(x)) + M

p<=x

where p is a prime, M is a constant known as the Mertens constant, and the time complexity is O(1).

#20392: Re:數論公式

學校 : 桃園市私立復旦高級中學
編號 : 102099
來源 : [140.114.123.88]
最後登入時間：
2024-09-05 18:00:19

e494. 無窮級數之和(二) -- π | From: [59.115.84.19] | 發表日期 : 2020-01-14 15:18

Mertens' second theorem states that the asymptotic form of the harmonic series for the sum of reciprocal primes is given by

sigma (1/p) = ln(ln(x)) + M

p<=x

where p is a prime, M is a constant known as the Mertens constant, and the time complexity is O(1).

想請教第三筆測資會 infinity 的問題

該怎麼解決呢？

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