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_c81fbe80b3f21de7"}

id
vea_e475fc2e3a049049
frontier
Erdős problems frontier
source
vs_c3d7b3c0461c6d09
finding
vf_2940c66854443a62

evidence boundary

supports

computational

finding binding

bound

open_question

Erdős Problem #325 remains OPEN. Statement: Writing $f_{k, 3}(x)$ for the number of integers $\leq x$ which are the sum of three $k$th powers, is it true that $f_{k, 3}(x) \gg x ^ (3 / k)$? Topics: number theory, powers. Erdős prize: no. Statement is machine-verified in Lean (formal-conjectures). OEIS: possible.

source binding

source-bound

cap_61973ee16b553d57 · vc_c81fbe80b3f21de7

vs_c3d7b3c0461c6d09

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_c81fbe80b3f21de7"}

locator

span:0

extraction method

artifact_to_state_import

support relation

supports

condition refs

vcnd_f046db0bc80cd8e1

caveats

No caveats recorded.

Review, event, and evaluation records

2

events

  • vev_0990a41875bd30c3finding.asserted

    Candidate claim vc_c81fbe80b3f21de7 imported from artifact packet cap_61973ee16b553d57

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

reviewable changes

  • vpr_e79a8722e259d007finding.add

    Candidate claim vc_c81fbe80b3f21de7 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.

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

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

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