proposed
reason
Candidate claim vc_87fdda54cb4400bf imported from artifact packet cap_f4e8bcd294c97ba7
finding type
theoretical
proposed confidence
0.95
confidence basis
agent-imported candidate claim; reviewer acceptance required
frontiers / 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
Reviewable change
back to reviewadd a finding
openErdős #313 (?, AMS 11). STATEMENT: This set contains all solutions `(m, P)` to the Erdős problem 313. A solution is a pair where `m` is an integer `≥ 2` and `P` is a non-empty, finite set of distinct prime numbers, such that the sum of the reciprocals of the primes in `P` equals `1 - 1/m`. FORMAL: erdos_313: answer(sorry) ↔ erdos313Solutions.Infinite; erdos_313: (6, {2, 3}) ∈ erdos313Solutions; erdos_313: (42, {2, 3, 7}) ∈ erdos313Solutions KNOWN/REMARKS: # Erdős Problem 313 *References:* - erdosproblems.com/313 - A54377 (Primary pseudoperfect numbers) | Are there infinitely many pairs `(m, P)` where `m ≥ 2` is an integer and `P` is a set of distinct primes such that the following equation holds: $\sum_{p \in P} \frac{1}{p} = 1 - \frac{1}{m}$? | An integer `n` is a **primary pseudoperfect number** if it is the denominator `m` in a solution `(m, P)` RELATED: [] OEIS: []
- id
- vpr_5b00ea2389d2f233
- frontier
- Erdős problems frontier
- kind
- finding.add
- created
- 2026-06-04
A proposal; no authority until an accepted review event.
accept gate
0 of 4 on record- ·
- signature
- no terminal verdict yet
- ·
- chain
- no state transition yet
- —
- witness
- no verifier attachment on record for this target
- ·
- grade
- target not (yet) in frontier state
timeline
- 2026-06-04proposeproposed · finding.addagent:erdos-deep-ingest
vpr_5b00ea2389d2f233Candidate claim vc_87fdda54cb4400bf imported from artifact packet cap_f4e8bcd294c97ba7
provenance
proposed by
agent:erdos-deep-ingest
actor type
agent
created at
2026-06-04
target type
finding
Diff
Read-only frontier; diff not recomputed.
Review chain
- 01requestopen review →
Change request
Erdős problems frontier receives a reviewable source, finding, caveat, replication, evaluation, or proof-affecting edit.
- 02packetopen the campaign →
Diff packet
The packet names affected record objects, evidence, rationale, reviewer-facing fields, and expected proof impact.
- 03checksinspect checks →
Check output
Schema, provenance, benchmark, contradiction, and proof checks decide whether the request is ready to read.
- 04reviewread queue →
Reviewer decision
A steward accepts, rejects, caveats, revises, or retracts the request under an inspectable identity.
- 05acceptedinspect events →
Accepted event
Only the accepted event mutates frontier state. Atlases, constellations, and search update from that record state.