Follow the story. Try a proof. Let curiosity choose how deep you go.
Walk in through the manga: seventeen chapters, sixty-four pocket pebbles, zero required formulas. The Lean source stays behind glass until you ask for it.
Straight to the mathematicsBegin at the proof map — thousands of named theorems — then climb the full ladder from clock inverses to R = T. The story keeps telling itself beside you; it will keep you honest.
Made for company: one reader who loves math and one who does not — one sofa. Whatever each of you finds carries over to the tea salon.
Seventeen chapters, one extraordinary argument. One small discovery is enough for today.
Pip’s rule: mistakes are clues. Every chapter is open, and every question allows another try.
Why the curve’s arithmetic cannot split the wrong way.
Search the local catalogue in English or Japanese. Major landmarks have Japanese titles. Open the full original proof on GitHub for the complete context.
A curve gives a number at each suitable prime. A special function gives a sequence of numbers too. The job is to find a function whose numbers match the curve’s numbers. That exact partnership is called modularity. Read functions and coefficients first; the musical duet is a memory aid.
Annotated original · not a live Lean statePoint to a story clue or a highlighted term to connect the two.
Try this logical move →Source: anthropics/fermats-last-theorem @ aa2d8b3. Upstream reports verification; this reader has not independently rebuilt the project. Manga explanations are not formal proofs.
Source license & attributionDifferent instruments. The same arithmetic fingerprint.
Keep the curve from the package in mind. We begin a second branch: modularity links arithmetic information from the curve with a modular form. The symmetry branch will meet this branch at level lowering.
These links explain the reading route. A story analogy is not a proof of this theorem.
Already familiar? Keep reading. Otherwise, open a word or follow the prerequisites from the beginning.
Story → proofThe device’s fingerprint is arithmetic data. The coefficients of the musical partner must match it at the specified primes.
Match the arithmetic scoreModularFormClass.qCoeff f pStory → proofThe musician is a modular form with precise credentials: a normalized eigenform, not any pleasing tune.
An eigenform with conditionsf.IsNormalizedEigenformStory → proofThe little bridge represents a correspondence at some positive level N. Its existence is a condition, not a guessed recipe.
The level is positive0 < NStory → proofConducting the duet connects the curve to its integral model. A separate modularity theorem supplies the actual partner.
Connect the two descriptionsW.IsIntegralModelOf EA curve gives a number at each suitable prime. A special function gives a sequence of numbers too. The job is to find a function whose numbers match the curve’s numbers. That exact partnership is called modularity. Read functions and coefficients first; the musical duet is a memory aid.
The story and source are readable here. Enable JavaScript to edit proofs, try quizzes, and explore the interactive map.
Short scenes. Real logical goals. A pigeon who is very invested in your success.
Opening the casebook…
The secret duet
Start with the cake-scale story. You only need to read one small piece at a time. If you are in the Fermat story, start with Story depth, then the words listed before the chapter.
You do not need to know Lean, symbols or university mathematics to begin. Definitions come first in the small stories.
Look at the small example before the general formula. Ask what changed and what stayed the same.
Close this panel to return to the exact place you were reading. These are prepared hints for this page.
Start with the first small story →