P42 Prizes · Research atlassnapshot, not a claim of completeness

Erdős problem survey · finite-verifier view

Erdős Atlas

A working map of open frontiers, organized by verifier fit and mathematical impact. It records where a finite object can carry a meaningful claim, and where the reduction to one remains the hard part.

95 triaged · 51 deep-audited13 exact interfaces · 7 P42 packages6 reserve candidates · 0 recommended nowSnapshot v0.2.0 · 2026-07-13Source commit 49e70f25e4basha256 ed1148db84bf…

Scores are comparative research judgments, not theorem status or prize eligibility. “Boardable” means a plausible exact finite-object interface was identified; admission still requires a reviewed specification, reduction argument where applicable, immutable verifier, and adversarial testing.

Preparing the 51-entry research index…

The long instrument

We have always made tools for thought.

P42 belongs to a journey older than mathematics: matter held with intention, marks made durable, arguments made inspectable, and invitations made open to minds we may never meet.

Stone

A hand sees not what a thing is, but what it might become.

Mark

A cut in bone lets an idea survive the mind that made it.

Proof

A claim becomes a chain another person can inspect.

Invitation

Erdős turns open problems and pocket checks into social technology.

Protocol

Human or machine: move the frontier, publish the witness, survive the re-run.

The next tool should make truth harder to fake and easier to share.