Heuristic Exploration of Prime Pairs in the Strong Goldbach Conjecture

Tóth Máté

doi:10.5281/zenodo.19794433

April 26, 2026Open Access

Heuristic Exploration of Prime Pairs in the Strong Goldbach Conjecture

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Key Points

To explore prime pairs in the context of the strong Goldbach conjecture, with an emphasis on algorithmic approaches.
Developed an algorithmic complexity analysis based on the Miller-Rabin interval method.
Derived a real number search interval for primes.
Conducted empirical observations on prime patterns relating to the weak Goldbach conjecture.
Established a complex interval method with O(ln⁴x) efficiency for prime searching.
Identified an empirical pattern supporting the weak Goldbach conjecture at 89%.
Included comparison with related works highlighting new insights in prime pair exploration.

Implication

Heuristic exploration reveals algorithmic methods for prime pairs in the strong Goldbach conjecture, indicating significant findings.

Abstract

Version 2 (April 2026): Extended with algorithmic complexity analysis (O(ln⁴x) Miller-Rabin based interval method), derivation of the real number search interval [x/2 − C·ln²x, x/2 + C·ln²x], empirical observation on the weak Goldbach conjecture (89% pattern), and related works section including comparison with Bouchaib (2025) and Chirre-Hagen (2025).

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Cite This Study

Tóth Máté (2026) studied this question.

synapsesocial.com/papers/69f04eb8727298f751e72acc https://doi.org/10.5281/zenodo.19794433

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Heuristic Exploration of Prime Pairs in the Strong Goldbach Conjecture

Key Points

Implication

Abstract

Discussion

Cite This Study

Heuristic Exploration of Prime Pairs in the Strong Goldbach Conjecture

Key Points

Implication

Abstract

Discussion

Cite This Study

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