Domain 12 · Mathematics Codex
Named Theorems, Conjectures, Constants & Named Objects
The landmark results of mathematics — every named theorem, every open conjecture, every named constant.
Scope
All named theorems, all Clay Millennium Problems, all 23 Hilbert Problems, all named mathematical constants (π, e, φ, i, and ~50 others), named mathematical objects (Cantor set, Möbius strip, Mandelbrot set).
Named results are the landmarks by which mathematicians navigate. Fermat's Last Theorem took 357 years to prove. The Riemann Hypothesis has been open since 1859. Pi has been computed to over 100 trillion digits. These entries form the most recognisable part of the codex and are the first entries most readers will seek.
Entries in this domain
Build status: This domain is in active build. Live entries are marked below. All other entries are planned and pending — see build status for the full picture.
-
π (Pi)
Pending
The ratio of a circle's circumference to its diameter — approximately 3.14159, transcendental, and appearing throughout mathematics far beyond geometry.
-
Riemann Hypothesis
Pending
All non-trivial zeros of the Riemann zeta function have real part 1/2 — the most important unsolved problem in mathematics.
-
Euler's Identity
Pending
e^(iπ) + 1 = 0 — connecting the five most fundamental constants in mathematics in a single equation.