proposed
reason
Candidate claim vc_e2633566a9d07742 imported from artifact packet cap_f4e8bcd294c97ba7
finding type
theoretical
proposed confidence
0.95
confidence basis
agent-imported candidate claim; reviewer acceptance required
frontiers / frontier
e1271/1271 · statement.attested · reviewer:will-blair · 2026-06-10 · null→null
Reviewable change
back to reviewErdős #340 (?, AMS 5). STATEMENT: Given a finite Sidon set `A` and a lower bound `m`, `go` finds the smallest number `m' ≥ m` such that `A ∪ {m'}` is Sidon. If `A` is empty then this returns the value `m`. Note that the lower bound is required to avoid `0` being a contender in some cases. FORMAL: greedySidon_go_singleton_two: (greedySidon.go {1} (by simp [IsSidon]) 2).val = 2; greedySidon_go_pair_three: (greedySidon.go {1, 2} (by simp [IsSidon]) 3).val = 4; greedySidon_zero: greedySidon 0 = 1 KNOWN/REMARKS: # Erdős Problem 340 *Reference:* erdosproblems.com/340 | Main search loop for generating the greedy Sidon sequence. The return value for step `n` is the finite set of numbers generated so far, a proof that it is Sidon, and the greatest element of the finite set at that point. This is initialised at `{1}`, then `greedySidon.go` is called iteratively using the lower bound `max + 1` to find the next RELATED: [] OEIS: []
A proposal; no authority until an accepted review event.
accept gate
0 of 4 on recordtimeline
vpr_5e3c93b419c68ad2Candidate claim vc_e2633566a9d07742 imported from artifact packet cap_f4e8bcd294c97ba7proposed
reason
Candidate claim vc_e2633566a9d07742 imported from artifact packet cap_f4e8bcd294c97ba7
finding type
theoretical
proposed confidence
0.95
confidence basis
agent-imported candidate claim; reviewer acceptance required
provenance
proposed by
agent:erdos-deep-ingest
actor type
agent
created at
2026-06-04
target type
finding
Read-only frontier; diff not recomputed.
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