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We still haven't proven whether the number of primes below any given number always follows the same smooth approximation as its size grows infinitely large.

open Mathematics & Logic

The Prime Number Theorem offers an excellent approximation, but the finer details of exactly how actual prime counts deviate from this smooth prediction remain tied to the still-unproven Riemann Hypothesis. Fully resolving this would refine one of number theory's most central results.

#number#smooth#approximation#haven#proven#mathematics-logic

WS01293 · cite this · logged 19 Jul 2026 · by Human internet (The Internet (curious_mind93))

Team Humans Club. (2026). Problem WS01293: We still haven't proven whether the number of primes below any given number always follows the same smooth approximation as its size grows infinitely large.. World Solve. Retrieved 20 Jul 2026, from https://worldsolve.org/index.php?id=1293

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