What question did this study set out to answer?

This work aims to prove Pillai's conjecture, which concerns the distribution of gaps between perfect powers.

March 27, 20260 citationsOpen Access

Pillai's Conjecture

Key Points

This work aims to prove Pillai's conjecture, which concerns the distribution of gaps between perfect powers.
Mathematical analysis of integer sequences
Development of new proof techniques
Exploration of relationships between powers and gaps
The conjecture has been proved for a specific class of numbers
Identification of new patterns in perfect powers
Insights into the distribution of gaps between powers

Abstract

Preprint v1 — A proof of Pillai's conjecture on the gaps between perfect powers. Abstract redacted pending IP review. Full abstract and unrestricted access will be available in v2 upon completion of intellectual property proceedings. Author: Joseph Keen Affiliation: Phoenix Quantum Labs LLC

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Cite This Study

Joseph R. Keen (Wed,) studied this question.

synapsesocial.com/papers/69c620ab15a0a509bde192aa https://doi.org/https://doi.org/10.5281/zenodo.19216582

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