The board / number theory / #1184
Erdős Problem #1184
OPENdatabase updated 2026-04-04
No proof or disproof is known, and it isn't known whether a finite computation could settle it.
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Prizenone
Topicsnumber theory, primes
Statement in Leannot yet
Solution in Leanno
Original pageerdosproblems.com/1184
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Younis's 2024 all-interval theorem plus the classical Dickman theorem proves #1184 for every fixed \(1<\alpha<30/17\) unconditionally (and for \(1<\alpha<2\) under RH); the endpoints and larger \(\alp
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