RESEARCH BASE

Search 3,721 documents across 34 fields — every claim tier-rated by evidence

3,721 Documents 34 Sections 43,623 Citations 34,854 Keywords Indexed 4 Evidence Tiers

3,633 are the core, quality-scored corpus (34 lettered sections — see How We Work); the remaining 88 are cross-corpus synthesis documents (68 InterDocs, 12 Connections, 8 Theories) also indexed here.

30 results for "prime numbers" — page 2 of 2

ZA_4_09 Physics & Quantum

ZA_4_09 — Planck Units and Natural Constants

Planck units — constructed from the three fundamental dimensional constants c (speed of light), G (gravitational constant), and ℏ (reduced Planck constant) — define the natural scales where quantum mechanics, gravity, an

Planck units Planck length Planck time Planck mass Planck energy Planck temperature
V_1_14 Mathematics & Information

V_1_14 — Mathematical Constants: e, φ, √2, and Beyond

Mathematical constants are fixed numerical values that arise naturally from mathematical structures — appearing independently across diverse areas from geometry and analysis to probability and physics. The most famous, $

mathematical constants pi Euler number golden ratio phi square root two
V_1_12 Mathematics & Information

V_1_12 — Chinese Mathematics History

Chinese mathematics developed independently over at least 3,000 years, producing remarkable achievements often centuries before their European counterparts. The Jiuzhang Suanshu (Nine Chapters on the Mathematical Art, co

Chinese mathematics Nine Chapters rod calculus counting rods Liu Hui Zu Chongzhi
V_4_04 Mathematics & Information

V_4_04 — Unsolved Problems in Mathematics

Mathematics has always been driven by problems that resist solution — conjectures so deep that their resolution reshapes entire fields. The Clay Mathematics Institute's seven Millennium Prize Problems ($1 million each, a

unsolved problems Millennium Prize Riemann hypothesis P vs NP Navier-Stokes Hodge conjecture
V_3_04 Mathematics & Information

V_3_04 — Combinatorics & Counting: Pascal's Triangle to Modern Applications

Combinatorics — the mathematics of counting, arrangement, and selection — is one of the oldest and most widely applicable branches of mathematics, with roots across multiple civilizations. Pascal's triangle — the triangu

combinatorics counting Pascal's triangle binomial coefficients Yang Hui Pingala
V_3_20 Verified Mathematics & Information

V_3_20 — Fibonacci Sequences in Nature

The Fibonacci sequence (1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, ...), in which each number is the sum of the two preceding ones, was introduced to European mathematics by Leonardo of Pisa (known as Fibonacci) in his 1

Fibonacci golden ratio phyllotaxis sunflower spirals phi Lucas numbers
V_2_21 Verified Mathematics & Information

V_2_21 — Topology Applications in Science

Topology — the branch of mathematics concerned with properties preserved under continuous deformation (stretching, bending, twisting, but not tearing or gluing) — has transformed from an abstract mathematical discipline

topology topological invariants Euler characteristic knot theory persistent homology topological data analysis
V_2_16 Mathematics & Information

V_2_16 — Analytic Number Theory

Analytic number theory applies the methods of mathematical analysis — complex analysis, Fourier analysis, probability, and asymptotic estimation — to study the distribution and properties of integers, especially prime nu

analytic number theory Riemann zeta function prime number theorem Dirichlet series L-functions Riemann hypothesis
V_2_15 Mathematics & Information

V_2_15 — Galois Theory and Field Extensions

Galois theory, developed by Évariste Galois (1811-1832) in the last years of his tragically short life, is one of the great triumphs of abstract algebra — a theory connecting field extensions to group theory that definit

Galois theory field extension polynomial roots solvability by radicals quintic equation group theory
E_4_01 Cataclysms & Chronology

E_4_01 — Precession of the Equinoxes and Ancient Encoded Numbers

This document examines Precession of the Equinoxes and Ancient Encoded Numbers, a topic within the Cataclysms and Chronology research area. Notable findings include: 25,920 ÷ 12 = 2,160 years** per zodiacal age. The docu

precession equinoxes 25920 72 108 432000