Refinement of the Circle Method for Goldbach: An Analytical Exercise with Acknowledged Limitations
Year: 2025
Type: article
Abstract: This paper presents a dramatic refinement of the Hardy-Littlewood circle method, reducing the analytical threshold for binary Goldbach from the previous n ≥ 10²⁰ down to an unprecedented n ≥ 10¹⁸. Combined with existing computational verification up to 4×10¹⁸, this closes the gap entirely, potentially solving a 280-year-old conjecture.
Author: ALFREDO LUIS, ACOSTA PADILLA
Language: English
Subfield: Algebra and Number Theory
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W6893421152
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