scholarly journals Distribution of Composite Numbers and Determination of Prime Numbers

2021 ◽  
Author(s):  
Ahmet Furkan Gocgen
Keyword(s):  
Prime Number ◽  
Prime Numbers ◽  
Simple Function ◽  
Simple Method ◽  
Composite Number

Integer is either a composite number or a prime number. Therefore, detecting composite numbers is important for solving prime numbers. The study of prime numbers, apart from satisfying human curiosity, can be very important. In this article, the order of composite numbers has been detected. And explained with a simple method and a simple function. And, a method has been developed in which all composite numbers and therefore prime numbers can be determined by using the specified methods, functions and formulas.

scholarly journals Distribution of Composite Numbers and Determination of Prime Numbers

2021 ◽  
Author(s):  
Ahmet Furkan Gocgen
Keyword(s):  
Prime Number ◽  
Prime Numbers ◽  
Simple Function ◽  
Simple Method ◽  
Composite Number

Integer is either a composite number or a prime number. Therefore, detecting composite numbers is important for solving prime numbers. The study of prime numbers, apart from satisfying human curiosity, can be very important. In this article, the order of composite numbers has been detected. And explained with a simple method and a simple function. And, a method has been developed in which all composite numbers and therefore prime numbers can be determined by using the specified methods, functions and formulas.

scholarly journals Distribution of Composite Numbers and Determination of Prime Numbers

2021 ◽  
Author(s):  
Ahmet Furkan Gocgen
Keyword(s):  
Prime Number ◽  
Prime Numbers ◽  
Simple Function ◽  
Simple Method ◽  
Composite Number

Integer is either a composite number or a prime number. Therefore, detecting composite numbers is important for solving prime numbers. The study of prime numbers, apart from satisfying human curiosity, can be very important. In this article, the order of composite numbers has been detected. And explained with a simple method and a simple function. And, a method has been developed in which all composite numbers and therefore prime numbers can be determined by using the specified methods, functions and formulas.

Distribution of Composite Numbers and Determination of Prime Numbers

2021 ◽  
Author(s):  
Ahmet Furkan Gocgen
Keyword(s):  
Prime Number ◽  
Prime Numbers ◽  
Simple Function ◽  
Simple Method ◽  
Composite Number

Integer is either a composite number or a prime number. Therefore, detecting composite numbers is important for solving prime numbers. The study of prime numbers, apart from satisfying human curiosity, can be very important. In this article, the order of composite numbers has been detected. And explained with a simple method and a simple function. And, a method has been developed in which all composite numbers and therefore prime numbers can be determined by using the specified methods, functions and formulas.

scholarly journals CARACTERIZACIÓN DE NÚMEROS PRIMOS

2017 ◽  
Vol 22 (2) ◽  
pp. 25
Author(s):  
Héctor Carlos Guimaray Huerta
Keyword(s):  
Number Theory ◽  
Prime Number ◽  
Prime Numbers ◽  
Composite Number ◽  
Palabras Clave

Los números primos es motivo de investigación en la teoría de números; en la actualidad, no existe una fórmula que nos permita obtener dichos números, y que la distribución de los mismos se considera que es aleatoria. Lo que existe son métodos para averiguar si un número es primo o compuesto. En el presente artículo se presenta una caracterización de números primos que es el complemento de los números compuestos. Palabras clave.- Divisor, Número primo, Número compuesto, Caracterización, Conjetura. ABSTRACTThe prime numbers motivate the investigation in number theory; nowadays, does not exist a formula that allows get those numbers, and that the distribution thereof is considered random. There are methods to find whether a number is prime or composite. This article presents a characterization of prime numbers which is the complement of composite numbers. Keywords.- Divisor, Prime number, Composite number, Characterization, Conjecture.

scholarly journals PRIME NUMBER LAW. DEPENDENCE OF PRIME NUMBERS ON THEIR ORDINAL NUMBERS AND GOLDBACH – EULER BINARY PROBLEM USING COMPUTER

2020 ◽  
Vol 2020 (4) ◽  
pp. 80-100
Author(s):  
Sergey Ivanovich Chermidov
Keyword(s):  
Positive Integer ◽  
Prime Number ◽  
Diophantine Equations ◽  
Prime Numbers ◽  
Distribution Law ◽  
Ordinal Numbers ◽  
Composite Number ◽  
Binary Problem ◽  
Integer Solutions ◽  
New Distribution

The article considers the methods of defining and finding the distribution of composite numbers CN, prime numbers PN, twins of prime numbers Tw and twins of composite numbers TwCN that do not have divisors 2 and 3 in the set of natural numbers - ℕ based on a set of numbers like Θ = {6∙κ ± 1, κ ∈ ℕ}, which is a semigroup in relation to multiplication. There has been proposed a method of obtaining primes by using their ordinal numbers in the set of primes and vice versa, as well as a new algorithm for searching and distributing primes based on a closedness of the elements of the set Θ. It has been shown that a composite number can be presented in the form of products (6x ± 1) (6y ± 1), where x, y ℕ - are positive integer solutions of one of the 4 Diophantine equations: . It has been proved that if there is a parameter λ of prime twins, then none of Diophantine equations P (x, y, λ) = 0 has positive integer solutions. There has been found the new distribution law of prime numbers π(x) in the segment [1 ÷ N]. Any even number is comparable to one of the numbers i.e. . According to the above remainders m, even numbers are divided into 3 types, each type having its own way of representing sums of 2 elements of the set Θ. For any even number in a segment [1 ÷ ν], where ν = (ζ−m) / 6, , there is a parameter of an even number; it is proved that there is always a pair of numbers that are elements of the united sets of parameters of prime twins and parameters of transition numbers , i.e. numbers of the form with the same λ, if the form is a prime number, then the form is a composite number, and vice versa.

Development of a simple method for the determination of single nucleotide polymorphisms

2010 ◽  
Vol 34 (8) ◽  
pp. S75-S75
Author(s):  
Weifeng Zhu ◽  
Zhuoqi Liu ◽  
Daya Luo ◽  
Xinyao Wu ◽  
Fusheng Wan
Keyword(s):  
Single Nucleotide Polymorphisms ◽  
Nucleotide Polymorphisms ◽  
Simple Method ◽  
Single Nucleotide

A Standard Primary Toxicity Bioassay Using Daphnia Magna as a Test Species

1977 ◽  
Vol 12 (1) ◽  
pp. 27-50 ◽  
Author(s):  
L.A. Behie ◽  
J.E. Zajic ◽  
D. Berk ◽  
R.J.P. Brouzes ◽  
V.A. Naish
Keyword(s):  
Statistical Analysis ◽  
Daphnia Magna ◽  
Biological Indicator ◽  
Pulp And Paper ◽  
Toxicity Bioassay ◽  
Simple Method ◽  
Test Species ◽  
Test Organisms ◽  
Dilution Water

Abstract Although Daphnia magna have been widely used in the determination of the toxicity of various substances, there are no reports in the literature that describe a rigorous bioassay method using this organism as a test species. The test described herein involves the standariza-tion of various important aspects of the method such as the age of the test organisms, and the dilution water used for the preparation of the various toxicant concentrations. Also described is a simple method for the statistical analysis of the results. The sensitivity of the proposed bioassay is demonstrated by determining the toxicity of various pulp and paper effluents. Finally, extensive bioassays were carried out simultaneously with rainbow trout and Daphnia magna indicating that Daphnia are as good a biological indicator of acute toxicity as fish.

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