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 1 of 2

V_2_01 Mathematics & Information

V_2_01 — Prime Numbers — Patterns, Mysteries, and the Riemann Hypothesis

Prime numbers — integers greater than 1 divisible only by 1 and themselves — have fascinated mathematicians since Euclid proved their infinitude (~300 BCE). Despite appearing randomly distributed, primes follow deep stat

prime numbers Riemann hypothesis zeta function Euclid RSA cryptography twin primes
V_2_09 Mathematics & Information

V_2_09 — Number Theory: Primes, Patterns, and Unsolved Problems

Number theory — the study of integers and their properties — is one of the oldest and most beautiful branches of mathematics, yet it connects to cryptography, physics, and computer science in profound ways. Prime numbers

number theory prime numbers prime distribution Riemann hypothesis Riemann zeta function twin primes
Z_5_10 Verified Molecular Biology

Z_5_10 — Genome Editing Beyond CRISPR: TALENs, Base Editors, Prime Editors, and Next-Generation Tools

While CRISPR-Cas9 (covered in Z_1_02) dominates the genome editing landscape, it is neither the first nor the only precision genome editing technology. The field began with zinc finger nucleases (ZFNs) in the early 2000s

genome editing TALENs zinc finger nucleases ZFN base editing prime editing
V_2_22 Mathematics & Information

V_2_22 — Imaginary Numbers: From "Truly Imaginary" to Physically Necessary

In 1545, the Italian mathematician Girolamo Cardano encountered expressions involving the square root of a negative number while solving cubic equations in his Ars Magna. He used the expression — computed with it, obtain

imaginary numbers complex numbers √-1 i Cardano Bombelli
C_3_12 Global Traditions

C_3_12 — Numerology — Sacred Number Systems Across Cultures

The conviction that numbers possess intrinsic sacred, cosmological, or metaphysical significance — and that the structure of reality is fundamentally mathematical — appears in virtually every literate civilization and ma

numerology Pythagorean tetractys musica universalis gematria Kabbalah
Z_5_17 Verified Molecular Biology

Z_5_17 — CRISPR-Cas9 Mechanism and Applications

CRISPR-Cas9 (Clustered Regularly Interspaced Short Palindromic Repeats and CRISPR-associated protein 9) is a revolutionary genome-editing technology adapted from the natural adaptive immune system of bacteria and archaea

CRISPR Cas9 gene editing guide RNA PAM double-strand break
Z_5_01 Molecular Biology

Z_5_01 — CRISPR Applications and Genetic Engineering

CRISPR-Cas9 (Clustered Regularly Interspaced Short Palindromic Repeats) is a revolutionary gene-editing technology adapted from a bacterial immune defense system, enabling precise, programmable modification of DNA in vir

CRISPR Cas9 gene editing genetic engineering CRISPR-Cas9 guide RNA
Z_2_05 Molecular Biology

Z_2_05 — Gene Therapy: History and Progress

Gene therapy — the introduction, alteration, or replacement of genetic material within a patient's cells to treat or cure disease — has evolved from a speculative concept to an approved clinical reality over five decades

gene therapy gene replacement viral vector adeno-associated virus AAV lentivirus
E_4_06 Cataclysms & Chronology

E_4_06 — Kali Yuga / World Ages Mathematics

This document examines Kali Yuga / World Ages Mathematics, a topic within the Cataclysms and Chronology research area. Key areas of investigation include The Four Yugas — Structure and Duration, Higher-Order Cycles, Sour

Kali Yuga Satya Yuga Treta Yuga Dvapara Yuga Maha Yuga Kalpa
E_4_04 Cataclysms & Chronology

E_4_04 — Mathematical Encoding in Mythology

Certain numbers appear with suspicious regularity across ancient mythologies worldwide: 72 (Egyptian conspirators against Osiris, degrees of precessional shift per degree), 108 (Hindu/Buddhist sacred number, suitors of P

mathematical encoding precessional numbers 72 108 432000 25920
Q_3_02 Cosmology & Physics

Q_3_02 — Ancient-Modern Scientific Parallels Synthesis

Every major ancient cosmological tradition contains concepts that map remarkably onto modern scientific discoveries. From the Hindu kalpa aligning within 5% of Earth's actual age, to the universal "cosmic egg" motif mirr

ancient-modern parallels Hindu kalpa cosmic egg Big Bang creation from clay abiogenesis

InterDoc: Productive Fictions — Real Effects from Nonexistent Referents

productive fictions false theories phlogiston caloric luminiferous aether imaginary numbers
D_5_05 Sites & Artifacts

D_5_05 — Fibonacci Sequence and Sacred Ratios in Nature

The Fibonacci sequence (1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144...) — where each number is the sum of the two preceding numbers — appears with remarkable frequency in nature, architecture, and art. The ratio of consecu

Fibonacci golden ratio phi 1.618 phyllotaxis spiral
B_3_15 Verified Beings & Entities

B_3_15 — Primordial Water Entities: Apsu, Nun, Tiamat, Varuna

Primordial water entities — personified cosmic oceans, abyssal waters, and aquatic chaos-beings from which the ordered universe emerges — represent one of the most universal cosmogonic motifs. In Mesopotamia, the Apsu (A

primordial waters Apsu Abzu Nun Tiamat Varuna
ZD_1_09 Information & Computation

ZD_1_09 — Conway's Game of Life and Recreational Mathematics

Conway's Game of Life (1970), a two-dimensional cellular automaton devised by mathematician John Horton Conway (1937–2020), stands as perhaps the most famous example of how astonishingly complex behavior can arise from e

Game of Life cellular automata Conway recreational information-computation emergence self-replication
P_3_07 Philosophy & Meaning

P_3_07 — Aristotle — Natural Philosophy, Cosmology, and Legacy

Aristotle (384–322 BCE) was a Greek philosopher and polymath whose works constitute the single most influential body of thought in the history of Western and Islamic intellectual tradition. A student of Plato for twenty

Aristotle Lyceum natural philosophy four causes unmoved mover Prime Mover
N_1_03 Secret Societies

N_1_03 — Pythagorean Brotherhood as Proto-Secret Society

Pythagoras of Samos (~570-495 BCE) was a Greek philosopher, mathematician, and mystic who founded a communal religious-philosophical society in the Greek colony of Croton (modern Calabria, southern Italy) around 530 BCE.

Pythagoras Pythagorean brotherhood Croton Music of the Spheres tetractys akousmatikoi
R_3_20 Verified Biology & Evolution

R_3_20 — CRISPR & Gene Editing Technology

CRISPR-Cas9 is the most transformative biological technology since PCR, enabling precise, programmable editing of DNA in virtually any organism. The system was adapted from a bacterial immune defense mechanism first iden

CRISPR Cas9 gene editing genome engineering Jennifer Doudna Emmanuelle Charpentier
S_2_01 Future Technology

S_2_01 — CRISPR and Human Genetic Engineering

CRISPR-Cas9 is the most transformative biotechnology discovery of the 21st century — a molecular tool that allows precise editing of DNA in any organism, including humans. Discovered in bacteria's immune system against v

CRISPR Cas9 gene editing germline editing He Jiankui somatic editing
F_4_04 Lost Connections

F_4_04 — Post-Catastrophe Knowledge Preservation

If advanced civilization existed before the Younger Dryas impact (~12,800 years ago), how could its knowledge survive total civilizational collapse? This is not an idle question — it is the central engineering problem of

knowledge preservation Enoch pillars two pillars Apkallu degradation antediluvian knowledge Göbekli Tepe burial