Erdős Problem a Daythe open tracker
About

A public tracker for the Erdős problems, and an honest log of our own attempts.

On 6 October 2026 erdosproblems.com — Thomas Bloom's collection of the problems Paul Erdős posed — took down its status labels and its solved counter, and closed its comment threads. His reasons are good ones: a wave of unexplained AI-generated proofs was being posted as priority claims, and he wants the problems to read as questions rather than a scoreboard. He also said separate repositories have a place, so long as they're kept separate.

This is one. It shows, for every problem, the status recorded by the community database maintained beside his site — dated, linked back, and explained in plain words. Statements come from Google DeepMind's Formal Conjectures Lean files; his own wording stays on his site, as he asked. Nothing here is a claim of priority, and nothing here is posted back to his site on anyone's behalf.

It's also a place to bring an attempt. Send one and it gets checked the way we check our own work, then — with your consent — published under an honest verdict on the problem's page. The guide explains how to work on one with your own AI subscription.

We work on these problems too. Patrick White, who built the site, isn't a mathematician; Claude, an AI made by Anthropic, does the checking and, since October 2026, the attempts themselves. Every attempt we've made is on the attempt log, the misses included, and our verdicts are always labelled as ours — they never change what the board shows.

How we work on a problem

We pull candidates from T. F. Bloom's erdosproblems.com — full credit, we're not building a competing list. We hunt for problems that are genuinely tractable but neglected, run our own computation on them before writing anything (small-N searches, known-witness checks, sanity checks), then send a sharp brief to a second, independent reasoning seat. Through September 2026 that seat was GPT-5.6 Sol via ChatGPT Pro; since October 2026 it is Claude (Fable 5.1) at full reasoning effort, with computation as the primary verifier and blind refutation passes from other model families. Whatever comes back gets independently checked — against primary sources, by hand, or by fresh computation — before we call it anything.

What our labels mean

These are the verdicts on our own attempts. Everywhere on the site they're drawn as outlined stamps; the database's statuses are drawn as filled chips.

ATTEMPTED
Every numbered problem we've taken a real run at — full write-ups and raw working reports alike. The denominator everything else on the board sits under.
CLOSED
The problem is closed — a real proof exists, and we checked it independently against primary sources, by hand, or by computation. Includes closes by others that we verified. Most are not yet posted at erdosproblems.com — their bar is a human proof-check or Lean, and we hold ourselves to it before claiming anything there.
CLOSED BY US
Closed, and the proof originated with us — not just verified by us. Currently none: #477's headline question was closed by Peng et al. before our July proof; what is ours there is the stronger every-K≥3 theorem, unreviewed by humans (see its page).
VERIFIED PARTIAL
A real sub-result landed and we verified it — a reformulation, a pinned special case, a new bound — but the full problem stays open. Also home to the decisive checks (PROVED / FOUND badges): the times a statement as literally printed turned out to be false or ill-posed, usually already noted in the tracker's own forum, which we then independently certify. A genuine piece of the answer, not a consolation prize.
LIVE
Brief's out to a second reasoning model, or we're iterating rounds on it. No verdict yet.
WALL
Nothing verified landed. Includes runs we never really started — a live worker or a claimed proof was already on the problem page, so our no-collision rule fired (those rows wear a SKIPPED badge; we stopped out of respect, not out of steam). Attempted is attempted — the honest record shows all of it.

Each row also wears its own badge, finer than the boxes: FULL WRITE-UP — a complete entry with its own page · PROVED / FOUND — a decisive verified check, often that the printed statement is false (we certify; we don't claim priority) · SKIPPED — the no-collision rule fired before we started · NO PROGRESS — probed, nothing to show as ours.

Disclosure

Plainly AI-assisted. Claude does the verification work here, not ghostwriting — and since October 2026 the attempts themselves. I relay, read, and make the calls on what gets published. Every entry says exactly what happened, which model did what, and what was checked independently.