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On the series of reciprocals of primes - MaRDI portal

On the series of reciprocals of primes (Q1908131)

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scientific article; zbMATH DE number 850641
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On the series of reciprocals of primes
scientific article; zbMATH DE number 850641

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    On the series of reciprocals of primes (English)
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    26 August 1996
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    This short note contains an elementary, well readable proof of the inequality \[ \ln \ln N- {\textstyle {1\over 2}}\leq \sum_{p\leq N} {\textstyle {1\over p}}\leq \ln \ln N+2 \ln \ln \ln N+ 2\cdot \ln 5+2 \qquad (N\geq 2). \]
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    reciprocals of primes
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