AlphaEvolve problems·alphaevolve:27
The Prime Number Theorem
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Let $\\pi(x)$ denote the number of primes less than or equal to $x$, and let $C^- \\leq C^+$ denote the quantities $$ C^- \\coloneqq \\liminf_{x \\to \\infty} \\frac{\\pi(x)}{x/\\log x}$$ and $$ C^+ \\coloneqq \\limsup_{x \\to \\infty} \\frac{\\pi(x)}{x/\\log x}.$$ What are $C^-$ and $C^+$?
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qed.bot, “The Prime Number Theorem”, https://qed.bot/t/alphaevolve-27, as of 30 Sep 2026.