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_3420dc12d4ade6f3"}

id
vea_6ec7fde8a3b0be7e
frontier
Erdős problems frontier
source
vs_84b1dfa245a30d08
finding
vf_2c6965f2c81d49f6

evidence boundary

supports

computational

finding binding

bound

theoretical

Erdős Problem #250 has been PROVED (Erdős's conjecture holds). Statement: Is $$ \sum_{n=1}^\infty \frac{\sigma(n)}{2^n} $$ irrational? Here $\sigma(n)$ is the sum of divisors function. The answer is yes, as shown by Nesterenko [Ne96]. [Ne96] Nesterenko, Yu V., _Modular functions and transcendence questions_, Mat. Sb. 187 *9* (1996), 1319--1348. Topics: number theory, irrationality. Erdős prize: no. Statement is machine-verified in Lean (formal-conjectures). OEIS: A066766.

source binding

source-bound

cap_61973ee16b553d57 · vc_3420dc12d4ade6f3

vs_84b1dfa245a30d08

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_3420dc12d4ade6f3"}

locator

span:0

extraction method

artifact_to_state_import

support relation

supports

condition refs

vcnd_c182bf5777ecb9fb

caveats

No caveats recorded.

Review, event, and evaluation records

2

events

  • vev_c535241e7b479f97finding.asserted

    Candidate claim vc_3420dc12d4ade6f3 imported from artifact packet cap_61973ee16b553d57

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

reviewable changes

  • vpr_7287e58a497f9923finding.add

    Candidate claim vc_3420dc12d4ade6f3 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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