A NUMERICAL VERIFICATION OF THE STRONG GOLDBACH CONJECTURE UP TO 9 × 10 ^18

  • Sankei Daniel Meru University of Science & Technology
  • Loyford Njagi Meru University of Science & Technology
  • Josephine Mutembei Meru University of Science & Technology
DOI: https://doi.org/10.5281/zenodo.10391440
Keywords: Goldbach Conjecture, Goldbach partition, Even numbers, Odd numbers, Prime numbers, Natural numbers.

Abstract

The Goldbach Conjecture states that every even integer ≥ 4 can be written as a sum of two prime numbers. It is known to be true for all even numbers up to 4 × 1018[1]. Using the new formulation of a set of even numbers as [9], and the fact that, an even number of this formulation can be partitioned into all pairs of odd numbers [10], we present a computational algorithm that confirms the Strong Goldbach Conjecture holds true for all even numbers not larger than 9 × 1018.

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References

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Published
2023-12-15
How to Cite
Daniel, S., Njagi, L., & Mutembei, J. (2023). A NUMERICAL VERIFICATION OF THE STRONG GOLDBACH CONJECTURE UP TO 9 × 10 ^18. GPH-International Journal of Mathematics, 6(11), 28-37. https://doi.org/10.5281/zenodo.10391440
Issue
Vol 6 No 11 (2023): GPH - International Journal of Mathematics
Section
Articles

Copyright (c) 2023 Sankei Daniel, Loyford Njagi, Josephine Mutembei

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