Proth Numbers
In this article we introduce Proth numbers and prove two theorems on such numbers being prime [3]. We also give revised versions of Pocklington’s theorem and of the Legendre symbol. Finally, we prove Pepin’s theorem and that the fifth Fermat number is not prime.
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| Format: | Article |
| Language: | English |
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Sciendo
2014-06-01
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| Series: | Formalized Mathematics |
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| Online Access: | https://doi.org/10.2478/forma-2014-0013 |
| Summary: | In this article we introduce Proth numbers and prove two theorems on such numbers being prime [3]. We also give revised versions of Pocklington’s theorem and of the Legendre symbol. Finally, we prove Pepin’s theorem and that the fifth Fermat number is not prime. |
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| ISSN: | 1898-9934 |