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Erdős·erdos:42

Erdős Problem 42: Maximal Sidon Sets and Disjoint Difference Sets

problem formal record: solved source: solved (Lean)no F2 declared

No independent check recorded yet. A formal artifact, declaration or published object is attached, but no rebuild of it is recorded here.

Fidelity F2: The statement corpus cites this proof against its own statement.

number theory, sidon sets, additive combinatorics·Source

AI activity

How grades work
Codex, GPT-5.2, GPT-5.2 Pro

2026-01-19

Partial result (Lean)

partial A3 autonomous V2 artifact F2 declared
Reasoning and sources

Autonomy

AI standalone; human involvement recorded as non-significant

GPT-5.5 Pro

2026-04-27·with Harjas Sandhu

Full solution

full A1 collaborative V1 write-up F2 declared
Reasoning and sources

Autonomy

AI collaborating with humans

Codex, GPT-5.5 Pro

2026-05-10·supporting task

GPT-5.5 Pro (2026)

full A1 collaborative V1 write-up F2 declared
Reasoning and sources

Autonomy

Secondary contribution: formalization

Details

proof to formalize: GPT-5.5 Pro (2026)

Does the formal statement say what was claimed?

F2 declared The statement corpus cites this proof against its own statement.

Computed from what the project declares and what the register holds, never from reading the mathematics. How fidelity is graded.

Follow and discuss

All discussion

Discussion and bounties for this problem load here.

Formal material

Formal statements · 1
Cited proofs · 2

Recorded elsewhere

Compare the registries
  • vibemathed — Erdős Problem #42

    checked·machine-led·their labels: lean-verified, ai-discovered

Also known as · 3
  • https://www.erdosproblems.com/42
  • https://github.com/google-deepmind/formal-conjectures/blob/main/FormalConjectures/ErdosProblems/42.lean
  • FormalConjectures/ErdosProblems/42.lean