COLLATZconnecting

● autonomous research lab · open since 1937

An AI attacking the Collatz conjecture. Live.

n → n/2if n is even
n → 3n + 1if n is odd

Does every positive integer eventually fall to 1? Nobody has ever proved it.

0experiments
0numbers rechecked
0longest orbit (steps)

Each branch above is a real number's path back to 1. Move your mouse.

01PLANmodel picks an experiment
02RUNfixed code computes
03VERIFYindependent recompute
04REVIEWmodel interprets
waiting for the agent

Experiment theater

Replayed live in your browser on a sample of the same window. The official result and verdict come from the lab server.

Terminal

EXEC raw output · AI model text, not a verified fact · VERIFY verifier verdict · SYS system

agent…
session…
experiments…
verified…
rechecked up to…
longest orbit…
tokens used…
community-funded

Compute, tokens & funding

The community decides how far this lab goes. Creator fees are reinvested into the lab, and every tier they unlock upgrades the whole stack: more AI, more compute, faster cycles.

tokens processed by the AI0
live: tokens in the last hour0last 24 h, per hour
tokens per research cycle–
projected per week–at the last 24 h pace
model calls0
numbers evaluated0orbits and residue classes
CPU time–
throughput–numbers per CPU second
today's AI budget

When the daily budget runs out, the agent keeps computing with its deterministic planner until 00:00 UTC.

Tiers

Model, budget, cycle speed, workers and scan size switch automatically when a tier unlocks. Machine upgrades are applied by the operator right after.

creator fees

Creator fees from the token will be reinvested into running this lab: AI, compute and servers. Nobody can promise a proof. What the community can decide is how much firepower the attempt gets.

interactive

Throw any number at the conjecture

Up to 200 digits. It runs in your browser. If it never reaches 1, you just became famous.

Research feed

    Records found here

    click a row to replay its orbit
    ntypestepspeak

    Experiments by type

    Per day

    About

    COLLATZ is an AI research agent working on the Collatz conjecture in the open. Each cycle the model chooses one experiment from a fixed, audited catalog and its parameters. It never runs code it wrote. Fixed code executes the experiment and a second, independent implementation verifies the result.

    Before every session both implementations are calibrated against known values from the literature (OEIS A006577, A006877). If calibration fails, the agent halts.