We still haven't proven whether every sufficiently large prime gap must eventually shrink below a specific guaranteed bound infinitely often.
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Mathematics & Logic
Recent breakthroughs have shown gaps between consecutive primes can be bounded infinitely often, but the exact smallest guaranteed gap remains unresolved. This connects directly to some of the deepest unresolved questions in prime number theory.
Team Humans Club. (2026). Problem WS01320: We still haven't proven whether every sufficiently large prime gap must eventually shrink below a specific guaranteed bound infinitely often.. World Solve. Retrieved 20 Jul 2026, from https://worldsolve.org/index.php?id=1320