A complete classification of the Mersenne’s primes and its implications for computing
| Autor: | Yeisson Alexis Acevedo Agudelo |
|---|---|
| Jazyk: | English<br />Spanish; Castilian<br />Portuguese |
| Rok vydání: | 2020 |
| Předmět: | |
| Zdroj: | Revista Politécnica, Vol 16, Iss 32, Pp 110-119 (2020) |
| Druh dokumentu: | article |
| ISSN: | 1900-2351 2256-5353 |
| DOI: | 10.33571/rpolitec.v16n32a10 |
| Popis: | A study of Mersenne’s primes is carried out using the multiplicative group modulo 360 and a complete classification is obtained by its residual classes. This allows the search for Mersenne’s primes to be classified into four subgroups mutually exclusive (disjoint) and contributes to the ordered selection of exponents to be computationally tested. According to this idea, Mersenne’s trapeze is presented with the purpose of giving a geometric representation for this classification. Finally, from one of the theorems presented and proven for primes in modulo 360, a conjecture is established that could be solved by computing. |
| Databáze: | Directory of Open Access Journals |
| Externí odkaz: |
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