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Birch–Swinnerton-Dyer conjecture applies to Prime number. Activate to inspect this relation.Divisibility applies to Integer. Activate to inspect this relation.Elliptic-curve cryptography depends on Modular arithmetic. Activate to inspect this relation.Fundamental theorem of arithmetic depends on Divisibility. Activate to inspect this relation.Fundamental theorem of arithmetic depends on Prime number. Activate to inspect this relation.Langlands program applies to Prime number. Activate to inspect this relation.Modular arithmetic applies to Divisibility. Activate to inspect this relation.P versus NP is analogous to Riemann hypothesis. Activate to inspect this relation.Riemann hypothesis applies to Prime number. Activate to inspect this relation.RSA cryptosystem depends on Modular arithmetic. Activate to inspect this relation.Birch–Swinnerton-Dyer conjecturePrime numberFundamental theorem of arithmeticLanglands programRiemann hypothesisDivisibilityP versus NPIntegerModular arithmeticRSA cryptosystemElliptic-curve cryptography
Relationship types

7 concepts viewed through this lens. Bridge concepts connect this view to Arithmetic, Computational Complexity, Computer Science, Cryptography….

Legend
  • Focused concept
  • Connected concept
  • Bridge concept (just outside the lens)
  • Arrow points from cause / source to effect / target
  • A line with no arrow is a two-way relationship
  • Node colour marks the concept’s primary discipline
11 concepts10 relationships6 disciplines3 relation families

Birch–Swinnerton-Dyer conjecture

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At a glance

The open Millennium problem linking rational points on an elliptic curve to an L-function's behaviour.

Disciplines
Number Theory
Role in the graph
Leaf concept
Relationships
1 · 1 relation families

What am I looking at?

In this lens (7)

Bridge concepts (6)

Just outside the lens — they connect it to other context.

  • Prime number4
    Arithmetic, Mathematics · connects to Birch–Swinnerton-Dyer conjecture, Fundamental theorem of arithmetic, Langlands program…
  • Dynamical systems1
    Mathematics · connects to Collatz conjecture
  • Elliptic-curve cryptography1
    Cryptography · connects to Modular arithmetic
  • Integer1
    Arithmetic, Mathematics · connects to Divisibility
  • P versus NP1
    Computational Complexity, Computer Science, Mathematics · connects to Riemann hypothesis

Insights from this view

Structural observations about the concepts shown here — descriptions of this graph, not claims about the world.

  • This view connects 6 disciplines: Arithmetic, Computational Complexity, Computer Science, Cryptography, Mathematics, Number Theory.
  • Divisibility is a bridge concept — viewed here through Mathematics, Number Theory.
  • The connections here span 3 relation families.

Relationships as a list

The focused concept’s relationships. Pick another concept in the graph above to update this list.

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From a Leaf to the ClimateWhy Music Moves UsHow Machines LearnReasoning about a Leaf and the Climate

Concept collections

Concept collections are curated lenses onto the fabric — themed sets of ideas that recur across disciplines. They are not journeys; they are a way to read the graph.

About this view

What this is

Start from one concept and expand outward. The view never shows everything at once — click a node to refocus, filter by relationship type, or switch to an accessible list.

One fabric

3750 concepts and 5051 typed relations form one connected component — no isolated silo.

How to read it

Focus a concept, or apply a lens (discipline, mental model, journey) to see only the threads that matter.