The board / number theory / #1135
Erdős Problem #1135
Collatz conjecture
OPENdatabase updated 2026-01-11
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).
The Collatz conjecture states that for any positive integer \(n\), there exists a natural number \(m\) such that the \(m\)-th term of the sequence is 1.
Statement as formalized in Formal Conjectures (Google DeepMind, Apache-2.0) · their label: research open. The authoritative wording is on erdosproblems.com/1135.Prize$500
Topicsnumber theory, iterated functions
Statement in LeanFormal Conjectures
Solution in Leanno
Original pageerdosproblems.com/1135
Attempts
submit one →Read our working report →
Live page status is OPEN - $500 with 0 claimed proofs, but “Currently working on this problem” lists VertRule, alansbor, old-bielefelder, and Shang_Yu_Chen (accessed 2026-07-28), so the mandatory no-c
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