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.
Modularity, the 3–5 trick, and compatible pieces.
Search the local catalogue in English or Japanese. Major landmarks have Japanese titles. Open the full original proof on GitHub for the complete context.
Under nonsingularity, semistability and mod-three irreducibility, the theorem returns residual modularity at a positive level M, plus restrictions on prime cubes and inertia-fixed torsion. The weight-one input comes from the specialized octahedral Langlands–Tunnell route. Multiplication by an Eisenstein series and Deligne–Serre lifting occur in the dependencies that supply the weight-two eigenform.
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 & attributionPip confuses a modular fingerprint with a very short national anthem.
The previous chapter gave the strategy. The first entrance uses information modulo 3. A result about that small representation supplies a starting point; lifting is a separate step with extra conditions.
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 → proofPip’s three-note audition introduces the residual-modularity route; the positive-level hypothesis still has to be supplied.
A positive level0 < MStory → proofThe condition sheet accompanies the tune. In particular, the level must not be divisible by q cubed.
Keep the conductor condition¬ q ^ 3 ∣ MStory → proofThe small instrument is the weight-one starting form. The named theorem supplies it, rather than Pip’s audition.
Where the first tune comes fromFLT.No2BridgeWiring.weightOneNewformExists_levelAtThree_not_cube_dvdStory → proofMoving beads to the larger instrument represents obtaining a congruent weight-two eigenform while retaining arithmetic information.
Transfer to weight twoFLT.AbstractIntegralStructure.exists_weight_two_eigenform_congruent_of_isLatticeRealizedUnder nonsingularity, semistability and mod-three irreducibility, the theorem returns residual modularity at a positive level M, plus restrictions on prime cubes and inertia-fixed torsion. The weight-one input comes from the specialized octahedral Langlands–Tunnell route. Multiplication by an Eisenstein series and Deligne–Serre lifting occur in the dependencies that supply the weight-two eigenform.
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…
A three-note audition
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 →