Number Theory

    

A New Approach to the Goldbach Conjecture

Authors: Jim Rock

In 1742 Christian Goldbach suggested that any even number four or greater is the sum of two primes.The Goldbach conjecture remains unproven to the present day, although it has been verified for all even numbers up to 4 × 10^18. Previously this problem has been attacked using deep analytical methods and with complicated integer sieves. This paper takes an entirely new approach to the Goldbach conjecture using pairs of composite integers (composite pairs) that are used to find pairs of prime numbers (prime airs) that sum to the same even natural number.

Comments: 3 Pages.

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Submission history

[v1] 2024-05-29 03:16:37
[v2] 2025-05-09 20:20:51
[v3] 2025-08-26 01:37:04

Unique-IP document downloads: 530 times

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