Himangshu-Aditya Conjecture

The Himangshu Aditya Conjecture, also known as the Square Prime Symmetry Conjecture, describes a proposed symmetry between perfect squares and prime numbers. It states that every perfect square is positioned at the exact midpoint between two prime numbers located at equal distances on either side. This conjecture suggests that perfect squares act as natural centers around which prime pairs are symmetrically arranged. Rather than appearing randomly, prime numbers may exhibit a structured balance when viewed relative to square numbers. If true, the conjecture would indicate a deep underlying order in the distribution of primes, revealing a consistent geometric and arithmetic harmony within the number system.

Authors

Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-02-02
DOI
https://doi.org/10.5281/zenodo.18453889
Primary Topic
Analytic Number Theory Research
Type
article
Field-Weighted Citation Impact
0.00
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article

Himangshu-Aditya Conjecture

Aditya das Aditya das, Himangshu Himangshu
Zenodo (CERN European Organization for Nuclear Research)
Analytic Number Theory Research
article

Himangshu-Aditya Conjecture

Aditya das Aditya das, Himangshu Himangshu
article en

Abstract

The Himangshu Aditya Conjecture, also known as the Square Prime Symmetry Conjecture, describes a proposed symmetry between perfect squares and prime numbers. It states that every perfect square is positioned at the exact midpoint between two prime numbers located at equal distances on either side. This conjecture suggests that perfect squares act as natural centers around which prime pairs are symmetrically arranged. Rather than appearing randomly, prime numbers may exhibit a structured balance when viewed relative to square numbers. If true, the conjecture would indicate a deep underlying order in the distribution of primes, revealing a consistent geometric and arithmetic harmony within the number system.

Zenodo (CERN European Organization for Nuclear Research)
Openalex Percentile: Top 63%
Analytic Number Theory Research
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