Vela

frontiers / frontier

Erdős problems frontier

constellation seal · derived from vfr_37aec80d874a0239
id
vfr_37aec80d874a0239
license
CC-BY-4.0
findings
1,256
accepted core
6
contested
0
links
17
sources
1,234
evidence
1,256
avg conf
0.98

used by 0 · replayed by 2 producers

e1271/1271 · statement.attested · reviewer:will-blair · 2026-06-10 · null→null

Evidence atom

back to sources

{"artifact_id":"va_9bc926d75e4e3881","artifact_packet_id":"cap_61973ee16b553d57","candidate_claim_id":"vc_be6e14708dedb6c5"}

id
vea_27f046dfb1ebee7c
frontier
Erdős problems frontier
source
vs_7f2d5e785737554a
finding
vf_84e6f2df0ac208e4

evidence boundary

supports

computational

finding binding

bound

open_question

Erdős Problem #307 has status 'verifiable'. Statement: Are there two finite set of primes $P$ and $Q$ such that $$ 1 = \left( \sum_{p \in P} \frac{1}{p} \right) \left( \sum_{q \in Q} \frac{1}{q} \right) $$ ? Asked by Barbeau [Ba76]. [Ba76] Barbeau, E. J., _Computer challenge corner: Problem 477: A brute force program._ Topics: number theory, unit fractions. Erdős prize: no. Statement is machine-verified in Lean (formal-conjectures). OEIS: N/A.

source binding

source-bound

cap_61973ee16b553d57 · vc_be6e14708dedb6c5

vs_7f2d5e785737554a

review context

unverified

2 events

2 reviewable changes and 0 evaluation records target this atom or its bound objects.

statement

{"artifact_id":"va_9bc926d75e4e3881","artifact_packet_id":"cap_61973ee16b553d57","candidate_claim_id":"vc_be6e14708dedb6c5"}

locator

span:0

extraction method

artifact_to_state_import

support relation

supports

condition refs

vcnd_52cc51e295a11a4b

caveats

No caveats recorded.

Review, event, and evaluation records

4

events

  • vev_9ad3bdecad463e15finding.asserted

    Candidate claim vc_be6e14708dedb6c5 imported from artifact packet cap_61973ee16b553d57

    reviewer:erdos-db-trustreviewer:erdos-db-trust · 2026-05-30

  • vev_d92064964a46683bfinding.noted

    External corroboration of frontier difficulty: AlphaProof Nexus (DeepMind, arXiv 2605.22763, May 2026) attempted Erdős #307 (listed in erdos_problems_attempted.txt of google-deepmind/alphaproof-nexus-results@0647711a7118) and did not solve it (9 of 242 attempted Erdős problems solved). Their Lean formalization of the statement lives in google-deepmind/formal-conjectures. Treat as evidence the open obligations here are genuine, not low-hanging.

    reviewer:will-blairreviewer:will-blair · 2026-06-10

reviewable changes

  • vpr_07fffd67f07aee75finding.add

    Candidate claim vc_be6e14708dedb6c5 imported from artifact packet cap_61973ee16b553d57

    agent — machine actor, no signing keyapplied · agent:erdos-spine-ingest · 2026-05-30

  • vpr_6bbe68fc90489c50finding.note

    External corroboration of frontier difficulty: AlphaProof Nexus (DeepMind, arXiv 2605.22763, May 2026) attempted Erdős #307 (listed in erdos_problems_attempted.txt of google-deepmind/alphaproof-nexus-results@0647711a7118) and did not solve it (9 of 242 attempted Erdős problems solved). Their Lean formalization of the statement lives in google-deepmind/formal-conjectures. Treat as evidence the open obligations here are genuine, not low-hanging.

    agent — machine actor, no signing keyapplied · agent:nexus-ingest-2026-06-10 · 2026-06-10

evaluations

No evaluation rows are attached.

finding.noted · reviewer:will-blair · 2 days

renders the record as of vev_d199cb2e · 1,338 events · hub

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