The board / number theory / #470
Erdős Problem #470
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).
Primitive weird numbers are weird numbers such that no proper divisor of \(n\) are weird.
The abundancy index is the sum of the divisors of \(n\) divided by \(n\).
Are there any odd weird numbers?
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/470.Prize$10
Topicsnumber theory, divisors
Statement in LeanFormal Conjectures
Solution in Leanno
Original pageerdosproblems.com/470
Attempts
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Live page status is OPEN - $10 with 0 claimed proofs, but “Currently working on this problem” lists Tomodovodoo; stopping to avoid colliding with the current worker.
SKIPPED