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_a5cb32b09844ad42"}

id
vea_d1c1b20cb0028b1f
frontier
Erdős problems frontier
source
vs_db5e952683d63bdf
finding
vf_20c835788cca05fd

evidence boundary

supports

computational

finding binding

bound

theoretical

Erdős Problem #1214 has been PROVED (Erdős's conjecture holds). Statement: Let $x,y\geq 1$ be integers such that, for all $n\geq 1$, the set of primes dividing $x^{n}-1$ is equal to the set of primes dividing $y^n-1$. Must $x=y$? Erdős asked this at a 1988 number theory conference in Banff. A positive answer was given by Corrales-Rodrigáñez and Schoof [CoSc97]. Topics: number theory. Erdős prize: no. Statement is machine-verified in Lean (formal-conjectures). OEIS: N/A.

source binding

source-bound

cap_61973ee16b553d57 · vc_a5cb32b09844ad42

vs_db5e952683d63bdf

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_a5cb32b09844ad42"}

locator

span:0

extraction method

artifact_to_state_import

support relation

supports

condition refs

vcnd_3947f93f0338d27e

caveats

No caveats recorded.

Review, event, and evaluation records

2

events

  • vev_bb43d1dcd07c9275finding.asserted

    Candidate claim vc_a5cb32b09844ad42 imported from artifact packet cap_61973ee16b553d57

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

reviewable changes

  • vpr_31fdc9a59772b6a9finding.add

    Candidate claim vc_a5cb32b09844ad42 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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