The board / number theory / #929
Erdős Problem #929
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
Original pageerdosproblems.com/929
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reduced #929 exactly to the primorial Jacobsthal bound \(Y(x)\le x^{1+o(1)}\), extracted the sharper proved bracket \(\sqrt{k}\ll S(k)\ll k\log_2k/(\log k\log_3k)\), and independently certified exact
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