proposed
reason
Candidate claim vc_f4a60e8e7d9049e0 imported from artifact packet cap_61973ee16b553d57
finding type
open_question
proposed confidence
0.99
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 Problem #126 remains OPEN. Statement: Let $f(n)$ be maximal such that if $A\subseteq\mathbb{N}$ has $|A| = n$ then $\prod_{a\neq b\in A}(a + b)$ has at least $f(n)$ distinct prime factors. Is it true that $\frac{f(n)}{\log n} \to\infty$? Topics: number theory. Erdős prize: $250. Statement is machine-verified in Lean (formal-conjectures). OEIS: possible.
accept gate
1 of 4 on recordtimeline
vpr_acac240968822b05Candidate claim vc_f4a60e8e7d9049e0 imported from artifact packet cap_61973ee16b553d57null→9536918evev_84b81c6bf38eb2b8Candidate claim vc_f4a60e8e7d9049e0 imported from artifact packet cap_61973ee16b553d57proposed
reason
Candidate claim vc_f4a60e8e7d9049e0 imported from artifact packet cap_61973ee16b553d57
finding type
open_question
proposed confidence
0.99
confidence basis
agent-imported candidate claim; reviewer acceptance required
provenance
proposed by
agent:erdos-spine-ingest
actor type
agent
created at
2026-05-30
target type
finding
affected
inspect finding →Erdős Problem #126 remains OPEN. Statement: Let $f(n)$ be maximal such that if $A\subseteq\mathbb{N}$ has $|A| = n$ then $\prod_{a\neq b\in A}(a + b)$ has at least $f(n)$ distinct prime factors. Is it true that $\frac{f(n)}{\log n} \to\infty$? Topics: number theory. Erdős prize: $250. Statement is machine-verified in Lean (formal-conjectures). OEIS: possible.
vf_3ecc100261603880Read-only frontier; diff not recomputed.
Erdős problems frontier receives a reviewable source, finding, caveat, replication, evaluation, or proof-affecting edit.
The packet names affected record objects, evidence, rationale, reviewer-facing fields, and expected proof impact.
Schema, provenance, benchmark, contradiction, and proof checks decide whether the request is ready to read.
A steward accepts, rejects, caveats, revises, or retracts the request under an inspectable identity.
Only the accepted event mutates frontier state. Atlases, constellations, and search update from that record state.
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