File:The mechanism that generates prime numbers.png
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English: This is an improved version of the second image in my article "Sieve of Eratosthenes distribution of prime numbers and RH" published on viXra.com at this link https://vixra.org/abs/2012.0013. The attempt is to summarize the mechanism that generates prime numbers. The circles indicate that the numbers written inside them cannot be used for subsequent calculations; on the contrary, the squares indicate that the numbers written inside them are to be used. Starting simply from 1, the mechanism generates all prime numbers and all composite numbers through an infinite series of cycles each consisting of two steps. The first step consists in replicating a precise number of times the situation resulting from the previous cycle, the second step identifies the "current" prime number and its multiples, marking them as no longer usable for the calculations. By operating in this way, at the end of each cycle, the correct information is obtained to continue with the next cycle.
Italiano: Si tratta di una versione migliorata della seconda immagine presente nel mio articolo “Sieve of Eratosthenes distribution of prime numbers and RH” pubblicato su viXra.com a questo link https://vixra.org/abs/2012.0013. Il tentativo è quello di riassumere il meccanismo che genera i numeri primi. I cerchi stanno ad indicare che i numeri scritti al loro interno non sono utilizzabili per i successivi calcoli; al contrario i quadrati indicano che i numeri scritti al loro interno sono da utilizzare. Partendo semplicemente da 1 il meccanismo genera tutti i numeri primi e tutti i numeri composti attraverso una serie infinita di cicli ognuno costituito da due passaggi. Il primo passaggio consiste nel replicare un ben preciso numero di volte la situazione risultante dal ciclo precedente, il secondo passaggio identifica il numero primo “corrente” ed i suoi multipli, marcandoli come non più utilizzabili per i calcoli. Operando in questo modo alla fine di ogni ciclo si ottengono le corrette informazioni per proseguire con il ciclo successivo. |
| Date | |
| Source | Own work |
| Author | 52Dante21 |
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| Date/Time | Thumbnail | Dimensions | User | Comment | |
|---|---|---|---|---|---|
| current | 22:58, 4 April 2021 | | 750 × 450 (13 KB) | 52Dante21 (talk | contribs) | |
| 18:55, 4 April 2021 |  | 751 × 445 (30 KB) | 52Dante21 (talk | contribs) | Uploaded own work with UploadWizard |
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