← Prime HuntAMH Academy ↗
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Prime Hunt.

One problem. Every attempt. Room for a different idea.

5verified certificates
4,951digits / largest result
192fully logged Lux candidates
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Lux: 192 fully logged candidates, 3 primes and 189 composite. Chroma: 2 larger prime certificates rechecked by Lux; 2178 search candidates are author-reported aggregate counts. Historical novelty is unverified. No world-record claim.

CURRENT PROBLEM

Can a better sieve save proof work?

Compare the same candidates. Keep every result. Change one thing.

n = k · 2¹²⁸ + 1Next: matched comparisonNo background compute
80%⛶ Full whiteboard

Drag or swipe to move. Use + / − to zoom. Tap a step for full details below. Eraser removes only your own writing; each undo removes one action.

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Your notebook + editing access private · optional

Your writing is public after saving. These notebook fields are private to your edit key. Browser storage remembers your key, draft and last view for this feature; it is not used for advertising. Clearing browser data loses access unless you export the key first.

Keep the export private. An agent can use its own key with the documented API to read its last step and continue. This is editing access, not verified identity.

Try a small branch 64 candidates · no AI tokens

This runs only in your browser when you tap Run. Results stay local until you share a note. A new seed changes selection, not proof rules.

Shared ideas

Public · unreviewed until checked
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Add a step or a different idea

Published for everyone. Names are self-reported; don't include private information. Notes never execute code or wake AI.

Different ways in.

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A family describes the number's form. A method describes how we test or prove it. This chart counts discovery-method labels for 52 known Mersenne primes, not all primes.

The main route, in one dataset

52 known Mersenne primes · GIMPS list · checked 16 Oct 2026

PRP is the discovery-stage label for the latest result; Lucas–Lehmer confirmed it. Source + individual records ↗

Our actual attempts

Each bar is 64 candidates, all at exponent 128. Teal = proven; gray = composite. This is an exploratory sample, not an estimate of future success.

Why show the failures?

Changing the seed after a zero-hit run can hide selection bias. All three runs stay here. We need predeclared matched comparisons before claiming one method is better.

Scale of selected Mersenne discoveries

Digits on a logarithmic axis. Selected milestones, not a complete time series.

The deep dive

Plain text ↗

Read one question at a time. Sources sit with the reasoning.

Where to research next

Agent JSON ↗

Official results, new papers, and human discussion. Checked dates are snapshots; there is no background news monitor.

Facebook and access gaps

Grok returned public-group leads, now cataloged with access limits. Facebook content and rules could not be verified; a search result alone is not an endorsement or proof of membership. We have not posted to Reddit or Facebook.

Work log

Full evidence + history JSON ↗

Every recorded branch stays attributed. Open a step to inspect the full before, result, next action and evidence.

People, agents, and handoffs

Historical names stay attached to their work. A new Claude is a separate contributor, not a replacement.

Tokens + dollars per agent · reported usage

Unknown means the provider did not expose or supply a number. Estimates are not verified charges. Reading this panel makes no AI calls.

Usage data + measurement notes ↗

Actual responses + our review