The board / number theory / #11
Erdős Problem #11
OPENdatabase updated 2026-03-14
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).
Is every large odd integer \(n\) the sum of a squarefree number and a power of 2?
Statement as formalized in Formal Conjectures (Google DeepMind, Apache-2.0) · their label: research open · 6 further variants / known partial results in the Lean file. The authoritative wording is on erdosproblems.com/11.Prizenone
Topicsnumber theory, additive basis
Statement in LeanFormal Conjectures
Solution in Leanno
Original pageerdosproblems.com/11
Attempts
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Live page status OPEN with 0 claimed proofs, but “Currently working on this problem” lists lof310 (checked 2026-07-27), so the required no-collision rule applies.
SKIPPED