Analytical Proof Goldbach Conjecture 1000
收藏Zenodo2025-07-09 更新2026-05-26 收录
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https://zenodo.org/doi/10.5281/zenodo.15844491
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This paper presents a combined analytical and computational verification of Goldbach's Conjecture for all even numbers in the range 4 ≤ N ≤ 1000. Goldbach's Conjecture, one of the most famous unsolved problems in number theory, states that every even integer greater than or equal to 4 can be expressed as the sum of two prime numbers.
In this study:
- A novel weighted function D(N) is introduced
- Modern numerical methods confirm the conjecture for N ≤ 1000
- An empirical formula for Goldbach partition counts is proposed
Rigorous bounds are derived from prime distribution estimates
✓ Verified for all 499 even numbers (4-1000) ✓ Found 8,222 total partitions ✓ Maximum partitions: 52 (for N=990) ✓ Empirical model accuracy: 98%
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Zenodo创建时间：
2025-07-09
