A Prime Digit-Sum Dynamical System and the Two-cycle Conjecture

This preprint introduces a prime digit-sum dynamical system and conjectures eventual periodicity into one of two observed cycles, supported by finite computational evidence.

Authors

Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-09-20
DOI
https://doi.org/10.5281/zenodo.22850988
Primary Topic
Analytic Number Theory Research
Type
preprint
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preprint

A Prime Digit-Sum Dynamical System and the Two-cycle Conjecture

Chandra Shekhar Shivam
Zenodo (CERN European Organization for Nuclear Research)
Analytic Number Theory Research
preprint

A Prime Digit-Sum Dynamical System and the Two-cycle Conjecture

Chandra Shekhar Shivam
preprint en

Abstract

This preprint introduces a prime digit-sum dynamical system and conjectures eventual periodicity into one of two observed cycles, supported by finite computational evidence.

Zenodo (CERN European Organization for Nuclear Research)
Analytic Number Theory Research
DOIOpen Access PDFOpenAlex
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A Prime Digit-Sum Dynamical System and the Two-cycle Conjecture — Chandra Shekhar Shivam · Zenodo (CERN European Organization for Nuclear Research) (2026) | TGRS Research Map | TGRS