Erdős·erdos:865

Erdős Problem 865

conjecture formal record: mixed source: proved (Lean)no F2 declared

Machine-checked by qed.bot.

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

number theory, additive combinatorics·Source

AI activity

GPT-5.5 Pro

2026-06-22·with Ricky Cipollini

Full solution

full A1 collaborative V3 checked F2 declared

Reasoning and sources

AI collaborating with humans

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.

verified qed.bot
51 theorems on the standard axioms only

proof rebuilt and axioms inspected·2026-08-21
not self-contained qed.bot
imports project modules: RequestProject.Sharpness, RequestProject.UpperBound

proof rebuilt and axioms inspected·2026-08-21

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Formal statements · 1

FormalConjectures/ErdosProblems/865.lean
4 declarations, 4 unproved goals·research open, research solved

Cited proofs · 2

vibemathed — The Erdos-Sos Pairwise-Sums Problem
checked·joint·their labels: lean-verified, ai-co-developed
vibemathed — Erdős Problem #865
checked·machine-led·their labels: lean-verified, ai-discovered

Also known as · 3

https://www.erdosproblems.com/865
https://github.com/google-deepmind/formal-conjectures/blob/main/FormalConjectures/ErdosProblems/865.lean
FormalConjectures/ErdosProblems/865.lean