Mertens’ first theorem

For any real number x2 we have


for all prime integers p.

Moreover, the term O(1) arising in this formula lies in the open interval (-1-ln4,ln4).

Title Mertens’ first theorem
Canonical name MertensFirstTheorem
Date of creation 2013-03-22 11:46:06
Last modified on 2013-03-22 11:46:06
Owner KimJ (5)
Last modified by KimJ (5)
Numerical id 8
Author KimJ (5)
Entry type Theorem
Classification msc 11A25
Classification msc 17B45
Classification msc 17B66