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GPT-5.4 Pro and Erdős Problem #1196 (April 2026)

Thread 2 2026-04-15 Tags: ARG-03, ARG-01 source ↗

What happened: GPT-5.4 Pro reportedly solved Erdős Problem #1196 in around eighty minutes, with a LaTeX write-up in thirty. Terence Tao engaged substantively in the problem forum, characterising the contribution's novelty in two ways: recognition of a bridge between a standard process in the anatomy-of-integers literature and a known duality, and a sustained tactical commitment to staying on the integers where prior literature defaulted to transport to the reals.

Diagnostic reading: a worked example of recombination-within-configured-space producing a result humans had not found — with the field's most authoritative living commentator supplying, in real time, the vocabulary problem Thread 2 tracks: is "bridge-recognition plus tactical persistence" insight, or search? The question is not answerable by inspecting the output, which is ARG-03's point run in the empirical direction. Tao's own flagged open thread (a weight naturally defined on the reals in an integer-side argument — "I'm not sure what to make of this fact yet") marks the register the log aims to preserve on both sides.

Source: Erdős Problem #1196, erdosproblems.com forum thread, April 2026 (automated retrieval blocked at capture; see caveats)

Formal verification status pending at capture; not citable as empirical evidence until verification lands. Tao's comments supplied directly from the forum thread; automated retrieval blocked.

Cite: 0x00.is Frontier Log, “GPT-5.4 Pro and Erdős Problem #1196 (April 2026)”, 2026-04-15, https://0x00.is/frontier-log/2026-04-15-gpt54-erdos-1196. Entries are curated, not canonical — each carries its caveats. CC BY-ND 4.0.