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- Title
A study on Goldbach conjecture.
- Authors
Carbó-Dorca, Ramon
- Abstract
The general structure and properties of Boolean Hypercubes is applied to discuss Goldbach's conjecture. A simple reasoning is developed to show that any even unsigned integer, belonging to the interval comprised between two successive powers of two, complies with the fact that it can be expressed as the sum of all the odd integers in the interval from 1 up to the nearest upper power of two, and thus as a sum of all pairs of prime numbers within the interval.
- Subjects
GOLDBACH conjecture; HYPERCUBES; BOOLEAN functions; PRIME numbers; MERSENNE numbers
- Publication
Journal of Mathematical Chemistry, 2016, Vol 54, Issue 9, p1798
- ISSN
0259-9791
- Publication type
Article
- DOI
10.1007/s10910-016-0649-0