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Mertens theorem for reciprocal primes
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Mathematics
Area of mathematics
Number theory
Analytic number theory
Mertens theorem
2026-09-28
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There is an absolute constant
B
1
, the
Meissel–Mertens constant
, such that
∑
p
≤
x
p
1
=
lo
g
lo
g
x
+
B
1
+
O
(
l
o
g
x
1
)
.
(1)
Ancestors
(6)
Mertens theorem
Analytic number theory
Number theory
Area of mathematics
Mathematics
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Past exam of the mathematics course of the University of Cambridge
/
2021
/
iii
/
Paper 150
/
1
/
a
/
Solution
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