THE BINARY GOLDBACH CONJECTURE

Artigo2021

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Resumo

The Goldbach Conjecture, one of the oldest problems in mathematics, has fascinated and inspired many mathematicians for ages. In 1742 German mathematician Christian Goldbach, in a letter addressed to Leonhard Euler, proposed a conjecture. The modern-day version of the Binary/Strong Goldbach conjecture asserts that: Every even integer greater than 2 can be written as the sum of two primes. The conjecture had been verified empirically up to 4 × 1018, its proof however remains elusive, which seems to confirm that: Some problems in mathematics remain buried deep in the catacombs of slow progress ... mind stretching mysteries await to be discovered beyond the boundaries of former thought. Avery Carr (2013) The research was aimed at exposition, of the intricate structure of the fabric of the Goldbach Conjecture problem. The research methodology explores several topics, before the definite proof of the Goldbach Conjecture can be presented. The Ternary Goldbach Conjecture Corollary follows the proof of the Binary Goldbach Conjecture as well as the representation of even numbers by the difference of two primes Corollary. The research demonstrates that the Goldbach Conjecture is a genuine arithmetical question.

Dados da obra

Tipo: Artigo
Periódico: JOHME: Journal of Holistic Mathematics Education, v. 5, n. 2, p. 215-240
Editora: Universitas Pelita Harapan
Ano: 2021 (2021-12)
Idioma: en
Palavras-chave: goldbach conjecture; binary goldbach conjecture; ternary goldbach conjecture; sum of primes; primes in arithmetic progression; prime number theorem
DOI: 10.19166/johme.v5i2.4526
ISSN: 2598-6759
Acesso: Acesso aberto
Fontes: DOAJ — Directory of Open Access Journals
Na Biblioteca desde: 01/10/2026 · verificada em 03/10/2026

Como citar

ABNT
FELIKSIAK, Jan. THE BINARY GOLDBACH CONJECTURE. JOHME: Journal of Holistic Mathematics Education, v. 5, n. 2, p. 215-240, 2021. DOI: https://doi.org/10.19166/johme.v5i2.4526.

APA

Feliksiak, J. (2021). THE BINARY GOLDBACH CONJECTURE. JOHME: Journal of Holistic Mathematics Education, 5(2), 215-240. https://doi.org/10.19166/johme.v5i2.4526

BibTeX

@article{feliksiak2021,
  author = {Feliksiak, Jan},
  title = {THE BINARY GOLDBACH CONJECTURE},
  year = {2021},
  journal = {JOHME: Journal of Holistic Mathematics Education},
  volume = {5},
  number = {2},
  pages = {215-240},
  publisher = {Universitas Pelita Harapan},
  doi = {10.19166/johme.v5i2.4526},
  language = {en}
}

RIS

TY  - JOUR
AU  - Feliksiak, Jan
TI  - THE BINARY GOLDBACH CONJECTURE
PY  - 2021
JO  - JOHME: Journal of Holistic Mathematics Education
VL  - 5
IS  - 2
SP  - 215
EP  - 240
DO  - 10.19166/johme.v5i2.4526
LA  - en
ER  -

Referência gerada automaticamente a partir dos metadados das fontes; confira com o documento original. Baixar BibTeX · Baixar RIS