Empirical Verification of Goldbach’s Conjecture Beyond Four Quintillion
We present an empirical verification of the Goldbach Conjecture for even integers after four quintillion. We even go on to extend this range further up to six quintillion; this significantly extends the empirical boundaries. Using probabilistic primality testing and trial division, we tested even integers in this range and found no violations. Our results demonstrate that this conjecture holds for this range. We even go on to demonstrate the decomposition of some even integers. While this paper doesn’t constitute a formal proof, it supports the validity of the conjecture through empirical evidence. These findings are also consistent with the prime gaps that are expected at such a scale.
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| Work Title | Empirical Verification of Goldbach’s Conjecture Beyond Four Quintillion |
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| License | In Copyright (Rights Reserved) |
| Work Type | Article |
| Publication Date | March 13, 2025 |
| Deposited | March 16, 2025 |
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