KUMAR'S CONJECTURE

The conjecture posits that every prime P \geq 11 can be expressed as the sum of a smaller prime, a square, and a triangular number, where all three components are distinct non-negative integers. It highlights the profound additive interactions connecting prime distribution with fundamental quadratic sequences in number theory.

Authors

Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-11-09
DOI
https://doi.org/10.5281/zenodo.24068693
Primary Topic
Analytic Number Theory Research
Type
article
Field-Weighted Citation Impact
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article

KUMAR'S CONJECTURE

Sarthak Kumar
Zenodo (CERN European Organization for Nuclear Research)
Analytic Number Theory Research
article

KUMAR'S CONJECTURE

Sarthak Kumar
article en

Abstract

The conjecture posits that every prime P \geq 11 can be expressed as the sum of a smaller prime, a square, and a triangular number, where all three components are distinct non-negative integers. It highlights the profound additive interactions connecting prime distribution with fundamental quadratic sequences in number theory.

Zenodo (CERN European Organization for Nuclear Research)
Analytic Number Theory Research
DOIOpen Access PDFOpenAlex
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KUMAR'S CONJECTURE — Sarthak Kumar · Zenodo (CERN European Organization for Nuclear Research) (2026) | TGRS Research Map | TGRS