proposed
reason
Candidate claim vc_d17f08f7bf4c24de imported from artifact packet cap_f4e8bcd294c97ba7
finding type
theoretical
proposed confidence
0.95
confidence basis
agent-imported candidate claim; reviewer acceptance required
frontiers / frontier
e1271/1271 · statement.attested · reviewer:will-blair · 2026-06-10 · null→null
Reviewable change
back to reviewErdős #458 (?, AMS 11). STATEMENT: The least common multiple of the integers in the set $\{1, \dots, n\}$. FORMAL: erdos_458: answer(sorry) ↔ ∀ k : ℕ, lcm_upto ((k + 1).nth Prime - 1) < k.nth Prime * lcm_upto (k.nth Prime) KNOWN/REMARKS: # Erdős Problem 458 *Reference:* erdosproblems.com/458 | Let $\operatorname{lcm}(1, \dots, n)$ denote the least common multiple of $\{1, \dots, n\}$. Let $p_k$ be the $k$-th prime. Is it true that for all $k \geq 1$, $\operatorname{lcm}(1, \dots, p_{k+1}-1) < p_k \cdot \operatorname{lcm}(1, \dots, p_k)$? RELATED: [] OEIS: []
A proposal; no authority until an accepted review event.
accept gate
0 of 4 on recordtimeline
vpr_e24639de326d7eb7Candidate claim vc_d17f08f7bf4c24de imported from artifact packet cap_f4e8bcd294c97ba7proposed
reason
Candidate claim vc_d17f08f7bf4c24de imported from artifact packet cap_f4e8bcd294c97ba7
finding type
theoretical
proposed confidence
0.95
confidence basis
agent-imported candidate claim; reviewer acceptance required
provenance
proposed by
agent:erdos-deep-ingest
actor type
agent
created at
2026-06-04
target type
finding
Read-only frontier; diff not recomputed.
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