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Type of publication: | Article |
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Title | O rozložení prvočísel v okolí faktoriálů |
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Journal | Obzory matematiky, fyziky a informatiky |
Year published | 2022 |
Volume | 51 |
Number | 2 |
Pages | 14-22 |
ISSN | 1335-4981 |
Abstract | The distribution of primes is quite irregular. We prove the following theorem which however allows some regularity: If a prime number p satisfies n! + 1 < p < n! + r^2 , where r is the smallest prime larger than a given natural number n, then p - n! is also a prime. We state a similar theorem for primes just below n! - 1. Further we prove similar statements also for the case when n! is replaced by q# which is the product of all primes not exceeding a prime q. |
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RIS | RIS |
Total mark: | 5 |
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