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

e1288/1288 · statement.registered · agent:claude-proxy · 2026-06-10 · null→null

Evidence atom

back to sources

{"artifact_id":"va_9bc926d75e4e3881","artifact_packet_id":"cap_61973ee16b553d57","candidate_claim_id":"vc_ceac59080ace29f1"}

id
vea_10954b9d42604372
frontier
Erdős problems frontier
source
vs_87e13bcd5f827503
finding
vf_62a45cb98acd1c8d

evidence boundary

supports

computational

finding binding

bound

open_question

Erdős Problem #350 has status 'proved (lean)'. Statement: If `A ⊂ ℕ` is a finite set of integers all of whose subset sums are distinct then `∑ n ∈ A, 1/n < 2`. Proved by Ryavec. This was proved by Ryavec, who did not appear to ever publish the proof. Ryavec's proof is reproduced in [BeEr74]. More generally, Ryavec's proof delivers that $\sum_{n\in A}\frac{1}{n}\leq 2-2^{1-\lvert A\rvert},$ with equality if and only if $A=\{1,2,\ldots,2^k\}$. This was formalized in Lean by Alexeev using Aristotle. Topics: number theory, additive combinatorics. Erdős prize: no. Statement is machine-verified in Lean (formal-conjectures). OEIS: N/A.

source binding

source-bound

cap_61973ee16b553d57 · vc_ceac59080ace29f1

vs_87e13bcd5f827503

review context

unverified

1 events

1 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_ceac59080ace29f1"}

locator

span:0

extraction method

artifact_to_state_import

support relation

supports

condition refs

vcnd_6cdf680ef120c766

caveats

No caveats recorded.

Review, event, and evaluation records

2

events

  • vev_c886450e2fcf6816finding.asserted

    Candidate claim vc_ceac59080ace29f1 imported from artifact packet cap_61973ee16b553d57

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

reviewable changes

  • vpr_e82472e8581360bafinding.add

    Candidate claim vc_ceac59080ace29f1 imported from artifact packet cap_61973ee16b553d57

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

evaluations

No evaluation rows are attached.

statement.registered · agent:claude-proxy · 4 days

renders the record as of vev_e73c9b6c · 1,355 events · hub

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