The board / number theory / #1143
Erdős Problem #1143
OPENdatabase updated 2026-01-23
No proof or disproof is known, and it isn't known whether a finite computation could settle it.
What the community database records, not our verdict. erdosproblems.com no longer shows statuses (why).
Prizenone
Topicsnumber theory, primes
Statement in Leannot yet
Solution in Leanno
Original pageerdosproblems.com/1143
Attempts
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Reconstructed the known sharp worst-prime-tuple value \(\lceil2\sqrt u\rceil\) for \(2<\alpha<3\), certified explicit \(\alpha=5/2\) examples for \(u\leq16\), proved current arithmetic-Kakeya lower tr
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