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Carbó-Dorca, R. (1999) Fuzzy Sets and Boolean Tagged Sets; Vector Semispaces and Convex Sets; Quantum Similarity Measures and Asa Density Functions; Diagonal Vector Spaces and Quantum Chemistry. In: Carbó-Dorca, R. and Mezey, P.G., Eds., Advances in Molecular Similarity, Elsevier, 43-72.

has been cited by the following article:

• TITLE: Natural Numbers and the Strong Goldbach Conjecture

  AUTHORS: Ramon Carbó-Dorca

  KEYWORDS: Natural Numbers, Prime Numbers, Vector Description of Natural Numbers, Prime Boolean Vectors, Primality of the Natural Unit, Strong Goldbach’s Conjecture, Vector Reversal, Pairing Conjecture, Natural Matrix Squeezing

  JOURNAL NAME: Journal of Applied Mathematics and Physics, Vol.12 No.9, September 29, 2024

  ABSTRACT: This study introduces the representation of natural number sets as row vectors and pretends to offer a new perspective on the strong Goldbach conjecture. The natural numbers are restructured and expanded with the inclusion of the zero element as the source of a strong Goldbach conjecture reformulation. A prime Boolean vector is defined, pinpointing the positions of prime numbers within the odd number sequence. The natural unit primality is discussed in this context and transformed into a source of quantum-like indetermination. This approach allows for rephrasing the strong Goldbach conjecture, framed within a Boolean scalar product between the prime Boolean vector and its reverse. Throughout the discussion, other intriguing topics emerge and are thoroughly analyzed. A final description of two empirical algorithms is provided to prove the strong Goldbach conjecture.