The board / number theory / #68
Erdős Problem #68
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).
Is \[\sum_{n=2}^\infty \frac{1}{n!-1}\] irrational?
Statement as formalized in Formal Conjectures (Google DeepMind, Apache-2.0) · their label: research open. The authoritative wording is on erdosproblems.com/68.Prizenone
Topicsnumber theory, irrationality
Statement in LeanFormal Conjectures
Solution in Leanno
OEISA331373
Original pageerdosproblems.com/68
Attempts
submit one →Read our working report →
Live page status OPEN; it lists “Currently working on this problem: memeister27,” so no attempt was made under the required collision rule.
SKIPPED