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Prime Numbers

open access: yes
Tema ovoga rada prosti su brojevi. Iako su u početku proučavani isključivo iz teorijske perspektive, pojava digitalnih računala donijela je potrebu za zaštitom podataka i sigurnošću u svakodnevnoj komunikaciji, gdje su prosti brojevi pronašli svoju ...
Pružinac, Patricia
core   +2 more sources

On the numbers that determine the distribution of twin primes [PDF]

open access: yesSurveys in Mathematics and its Applications, 2018
This paper is about a class of numbers indirectly connected to the twin primes, which have not been investigated so far. With the help of these numbers, we look at the set of twin primes from a different perspective and bring the reader's attention to ...
Antonie Dinculescu
doaj  

Primes in prime number races

open access: yesProceedings of the American Mathematical Society, 2019
Rubinstein and Sarnak have shown, conditional on the Riemann hypothesis (RH) and the linear independence hypothesis (LI) on the nonreal zeros of ζ
Lichtman, Jared Duker   +2 more
openaire   +2 more sources

SanD primes and numbers

open access: yesJ. Integer Seq., 2019
We define S(um)anD(ifference) numbers as ordered pairs $(m,\, m+Δ)$ such that the digital-sum $DS(m(m+Δ))=Δ.$ We consider both the decimal and the binary case. If both $m$ and $m+Δ$ are prime numbers, we refer to SanD {\em primes}. We show that the number of (decimal-based) SanD numbers less than $x$ grows as $c1\cdot x,$ where $c1 = 2/3,$ while the ...
Freeman J. Dyson   +2 more
openaire   +4 more sources

Squared prime numbers: Methods giving all prime numbers endless

open access: yes, 2021
My investigation shows that there is a regularity even by the prime numbers. This structure is obvious when a prime square is created. The squared prime numbers. 1.
Appelqvist, Dr Gunnar
core   +1 more source

Combinatorial Models of the Distribution of Prime Numbers

open access: yesMathematics, 2021
This work is divided into two parts. In the first one, the combinatorics of a new class of randomly generated objects, exhibiting the same properties as the distribution of prime numbers, is solved and the probability distribution of the combinatorial ...
Vito Barbarani
doaj   +1 more source

On the number of prime implicants

open access: yesDiscrete Mathematics, 1978
AbstractIt is shown that any Boolean expression in disjunctive normal form having k conjuncts, can have at most 2k prime implicants. However, there exist such expressions that have 2k2 prime implicants. It is also shown that any Boolean expression on n distinct propositional variables can have at most O(3nn) prime implicants, and that there exist ...
Ashok K. Chandra, George Markowsky
openaire   +2 more sources

A note on the primality of sums [PDF]

open access: yesSurveys in Mathematics and its Applications, 2022
It is shown that when adding a large number to a set of much smaller numbers, the number of primes or twin ranks (see text) in the resulted sumset can be substantially larger than the theoretical values given by the Prime Number Theorem or Hardy ...
Antonie Dinculescu
doaj  

The prime number graph [PDF]

open access: yesMathematics of Computation, 1979
Let p n {p_n}
openaire   +1 more source

Luhn prime numbers [PDF]

open access: yes, 2015
Thefirstprimenumberwiththespecialpropertythatitsadditionwithreversalgivesasresultaprimenumbertoo is 229. The prime numbers with this property will be called Luhn prime numbers.
Octavian Cira, Florentin Smarandache
core   +1 more source

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