Work

Sarthak's Conjecture

Year: 2026

Type: article

Abstract: This research note presents Sarthak's Conjecture on Prime Power Representations, positing that every prime P \ge 7 can be expressed as the sum of at most three prime-power terms of the form P = a^n + b^m + c^x under strict structural constraints (strictly smaller prime bases, non-negative integer exponents, and mutually distinct exponents). Computational verification confirms the conjecture holds with zero counterexamples for all 9,589 primes up to 10^5.

Source: Zenodo (CERN European Organization for Nuclear Research)

DOI: 10.5281/zenodo.23996205

Author: KUMAR, SARTHAK

Language: English

Topic: Analytic Number Theory Research

Subfield: Algebra and Number Theory

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W7225387352

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