Pierre Dusart, "On the Divergence of the Sum of Prime Reciprocals," WSEAS Transactions on Mathematics, vol. 22, pp. 508-513, 2023, DOI:10.37394/23206.2023.22.57
Pierre Dusart. On the Divergence of the Sum of Prime Reciprocals.
WSEAS Transactions on Mathematics. 2023;22:508-513. 10.37394/23206.2023.22.57
WSEAS Transactions on Mathematics
Print ISSN: 1109-2769, E-ISSN: 2224-2880
Volume 22, 2023
On the Divergence of the Sum of Prime Reciprocals
Author:
Abstract: The sum of the reciprocals of all prime numbers diverges but the divergence is very slow. We propose effective lower and upper bounds for partial sums under the Riemann hypothesis. We give an explicit error term for all Mertens’ theorems.
Pages: 508-513 WSEAS Transactions on Mathematics, ISSN / E-ISSN: 1109-2769 / 2224-2880, Volume 22, 2023, Art. #57 DOI: 10.37394/23206.2023.22.57
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