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  • On the Divergence of the Su...
    Dusart, Pierre

    WSEAS Transactions Mathematics, 7/2023, Letnik: 22
    Journal Article

    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.