evidence boundary
supportsfrontiers / frontier
Erdős problems frontier
- 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
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_f51fe4c64f42bd4c"}
- id
- vea_c53fee3aa43b05e7
- frontier
- Erdős problems frontier
- source
- vs_90e6bbbb1bc493e4
- finding
- vf_a72e7004f4b553ab
finding binding
boundopen_question
Erdős Problem #418 has status 'proved (lean)'. Statement: Are there infinitely many integers not of the form $n - \phi(n)$? Asked by Erdős and Sierpiński. Numbers not of the form we call non-cototients. Browkin and Schinzel [BrSc95] provided an affirmative answer to this question, proving that any integer of the shape $2^{k}\cdot 509203$ for $k\geq 1$ is a non-cototient. This is discussed in problem B36 of Guy's collection [Gu04]. This was formalized in Lean by Alexeev using Aristotle. Topics: number theory. Erdős prize: no. Statement is machine-verified in Lean (formal-conjectures). OEIS: A005278, A263958.
source binding
source-boundcap_61973ee16b553d57 · vc_f51fe4c64f42bd4c
vs_90e6bbbb1bc493e4
review context
unverified1 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_f51fe4c64f42bd4c"}
locator
span:0
extraction method
artifact_to_state_import
support relation
supports
condition refs
vcnd_58e8c65078f862ba
caveats
No caveats recorded.
Review, event, and evaluation records
2events
vev_506c071912c2cd9afinding.assertedCandidate claim vc_f51fe4c64f42bd4c imported from artifact packet cap_61973ee16b553d57
reviewer:erdos-db-trust · 2026-05-30
reviewable changes
vpr_4b319535ec4835bafinding.addCandidate claim vc_f51fe4c64f42bd4c imported from artifact packet cap_61973ee16b553d57
applied · agent:erdos-spine-ingest · 2026-05-30
evaluations
No evaluation rows are attached.