The board / number theory / #954
Erdős Problem #954
OPENdatabase updated 2025-08-31
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
Statement in Leannot yet
Solution in Leanno
OEISA390642
Original pageerdosproblems.com/954
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proved the exact regulator/drawdown reduction and certified the sharp bound \(0\le R(x)-x\le46{,}462\) for every integer \(x\le10^8\); the unresolved step is a uniform \(x^{1/4+o(1)}\) drawdown lemma.
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