The ∞−1 Definition Method

This paper reconstructs the structural basis of prime number distribution by defining $\infty - 1$ as either a prime or composite number. We introduce the concept of "definition pressure"—a principle whereby structural constraints are imposed through mathematical definitions—and explore the consequences for infinite constructs in mathematics. Connection Method to Shinichi Mathematics, Vol. 1The ∞ Definition MethodConnection Method to Shinichi Mathematics, Vol. 3The Shinichi TransformationShinichi MathematicsShinichi Mathematics: A Symbolic Foundation Based on √1 = 0If you have questions, thoughts, or interpretations related to this work,you're welcome to mention me on X (formerly Twitter): @ShinichiYoshimi

Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2025-06-28
DOI
https://doi.org/10.5281/zenodo.15761043
Primary Topic
Mathematical and Theoretical Analysis
Type
article
Field-Weighted Citation Impact
0.00
Controls
|||
ALL TIME
JAN
FEB
MAR
APR
MAY
JUN
JUL
AUG
SEP
OCT
article

The ∞−1 Definition Method

Zenodo (CERN European Organization for Nuclear Research)
Mathematical and Theoretical Analysis
article

The ∞−1 Definition Method

article en

Abstract

This paper reconstructs the structural basis of prime number distribution by defining $\infty - 1$ as either a prime or composite number. We introduce the concept of "definition pressure"—a principle whereby structural constraints are imposed through mathematical definitions—and explore the consequences for infinite constructs in mathematics. Connection Method to Shinichi Mathematics, Vol. 1The ∞ Definition MethodConnection Method to Shinichi Mathematics, Vol. 3The Shinichi TransformationShinichi MathematicsShinichi Mathematics: A Symbolic Foundation Based on √1 = 0If you have questions, thoughts, or interpretations related to this work,you're welcome to mention me on X (formerly Twitter): @ShinichiYoshimi

Zenodo (CERN European Organization for Nuclear Research)
Reduced inequalities
Openalex Percentile: Top 53%
Mathematical and Theoretical Analysis
AI Navigator

Ask Laika to Summarize, Analyze, and Connect papers live on the map.

Summarize Papers & Methodologies

Extract key findings, datasets, and comparative methods across publications.

Benchmark Rankings & Visual Analytics

Rank top research institutions, authors, funders, topics, and journals by Field-Weighted Citation Impact (FWCI) and paper volume with instant charts.

Connect Distant Disciplines

Bridge topological clusters on the map to find hidden collaborative intersections.

The ∞−1 Definition Method · Zenodo (CERN European Organization for Nuclear Research) (2025) | TGRS Research Map | TGRS