          class: 'small',
            latex: `\\begin{array}{lc}
    \\text{Given:}\\\\
    &    f(x)=\\operatorname {li}(x)-\\sum _{\\rho }\\operatorname {li}(x^{\\rho })-\\log(2)+\\int _{x}^{\\infty }{\\frac  {dt}{t(t^{2}-1)\\log(t)}}\\\\
    \\text{with}\\\\
    &    \\operatorname {li}(x)=\\int _{0}^{x}{\\frac  {dt}{\\log(t)}}.\\\\
    \\text{then}\\\\
    &    \\pi _{0}(x)=\\sum _{n}{\\frac {1}{n}}\\mu (n)f(x^{1/n})=f(x)-{\\frac {1}{2}}f(x^{1/2})-{\\frac {1}{3}}f(x^{1/3})-{\\frac {1}{5}}f(x^{1/5})+{\\f