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Published December 1, 2025 | Version v1

Six fundamental equations for the constant congruence speed in any numeral system

Authors/Creators

  • 1. Independent Researcher

Description

One-page note summarizing six central equations describing the constant congruence speed of integer tetration bases in arbitrary numeral systems $r > 1$. These formulas compactly condense the fundamental results established in the referenced works, including the complete characterization for prime radices, the explicit cases $r =6$ and $r = 10$, and several general constructions valid for all squarefree $r > 2$. The note serves as a concise reference for the main properties and behaviors of (constant) congruence speed across different numeral systems.

Files

Six fundamental equations for the constant congruence speed in any numeral system [FINAL].pdf

Additional details

Related works

References
Preprint: 10.5281/zenodo.17744007 (DOI)
Journal article: 10.7546/nntdm.2022.28.3.441-457 (DOI)

Dates

Available
2025-12-01