The board / number theory / #28
Erdős Problem #28
OPENdatabase updated 2025-08-31
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).
If \(A ⊆ \mathbb{N}\) is such that \(A + A\) contains all but finitely many integers then \(\limsup 1_A ∗ 1_A(n) = \infty\).
Statement as formalized in Formal Conjectures (Google DeepMind, Apache-2.0) · their label: research open. The authoritative wording is on erdosproblems.com/28.Prize$500
Topicsnumber theory, additive basis
Statement in LeanFormal Conjectures
Solution in Leanno
Original pageerdosproblems.com/28
Attempts
submit one →Early batch run — no verdict recovered (run JSON only).
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