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Relative Euler Function
Basic themes of document: mutually prime numbers; prime numbers; Euler function; prime factorial...
Pure mathematics
- 2017 •
- Jost
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Jost - Ostatní články v recenzovaných periodicích
On remarkable properties of primes near factorials and primorials
The distribution of primes is quite irregular. However, it is conjectured that if p is the smallest prime greater than n! + 1, then p – n! is also prime. We give prove that if a prime number p satisfies n! + 1 > p ...
Pure mathematics
- 2022 •
- Jimp •
- Link
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Jimp - Článek v periodiku v databázi Web of Science
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Euclidean Primes Have the Minimum Number of Primitive Roots
Denote by A(p) the number of primitive roots modulo a prime p. We show that for an arbitrary .epsilon. > 0 there exists a prime p such that A(p)/p < .epsilon. . Moreover, for an arbitrary Euclidean prime p we prove that A(q...
BA - Obecná matematika
- 2008 •
- Jx
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Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
On distribution of primes around factorials
The distribution of primes is quite irregular. We prove the following theorem which however allows some relularity: If a prime number p satisfies n!+1prime larger than a given natural numb...
Pure mathematics
- 2022 •
- O
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O - Ostatní výsledky
Short remark on Fibonacci-Wieferich primes
Short remark on Fibonacci-Wieferich primes...
BA - Obecná matematika
- 2008 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Straddled numbers: numbers equal to the sum of powers of consecutive primes from the least prime factor to the largest prime factor
Positive integers equal to the sum of powers of consecutive primes from the least prime factor to the largest prime factor are studied. They are called the straddled numbers and their properties are derived. There are also ...
Pure mathematics
- 2019 •
- Jimp •
- Link
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Jimp - Článek v periodiku v databázi Web of Science
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Prime filters of hyperlattices
The purpose of this paper is the study of prime ideals and prime filters in hyperlattices. I-filter and the filter generated by a in L are introduced. Moreover, we introduce dual distributive hyperlattices, and I-filter in dual dis...
BA - Obecná matematika
- 2016 •
- Jx •
- Link
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Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
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Primitive root biases for prime pairs I: Existence and non-totality of biases
We study the difference between the number of primitive roots modulo p and modulo p+k for prime pairs p, p+k. Assuming the Bateman Horn conjecture, we prove the existence of strong sign biases for such pairs. More importantly, we prove that ...
Pure mathematics
- 2018 •
- Jimp •
- Link
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Jimp - Článek v periodiku v databázi Web of Science
Výsledek na webu
Baťa primes
A new class of prime numbers - Baťa primes - is introduced. A positive integer is called a Baťa prime of class k if it ends with at least k 9s. We prove that for any positive integer k there exist infinitely many Baťa p...
Pure mathematics
- 2023 •
- O •
- Link
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O - Ostatní výsledky
Výsledek na webu
Sophie Germain little suns
We study a digraph that has an interesting structure for n = 2p + 1, where p is a Sophie Germain prime. We also present a new relationship between Mersenne and Sophie Germain primes....
BA - Obecná matematika
- 2004 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
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