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prime numbers

Study of prime numbers through their historical development applying Matlab

Study of prime numbers through their historical development applying Matlab

... natural numbers it will always be possible to determine a decomposition of prime ...twin prime numbers, that is, pairs of prime numbers separated by two units (for example, 3 and ...

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Prime Numbers Classification with Linear and Quadratic Forms

Prime Numbers Classification with Linear and Quadratic Forms

... of prime numbers offered before, for example [2, page 188], are not classification, as are not based on general ...of prime numbers, with the identical quadratic form from Table 1, has the ...

5

A conceptual proposal on the undecidability of the distribution law of prime numbers and theoretical consequences

A conceptual proposal on the undecidability of the distribution law of prime numbers and theoretical consequences

... The Prime Number Theorem (PNT) describes the asymptotic distribution of prime numbers: it states a general view of how primes are distributed among positive integers and also states that the primes ...

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Enhanced Rsa Cryptosystem Based On Three Prime Numbers

Enhanced Rsa Cryptosystem Based On Three Prime Numbers

... third prime number in order to make a modulus n which is not easily decomposable by ...big prime numbers, in the public key due to which it becomes difficult for the intruder to guess the factors of ...

5

The Distribution of Prime Numbers and Finding the Factor of Composite Numbers without Searching

The Distribution of Prime Numbers and Finding the Factor of Composite Numbers without Searching

... In this paper, there are 5 sections of tables represented by 5 linear sequence functions. There are two one-variable sequence functions that they are able to represent all prime numbers. The first one helps ...

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Prime Numbers and Modular Exponentiation in Encryption and Decryption

Prime Numbers and Modular Exponentiation in Encryption and Decryption

... card numbers which is the result of mathematics research and is now being applied ...like prime numbers, integer factorization and Modular Exponentiation and Roots which provide way to worldwide used ...

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ANALYSIS OF OCCURRENCE OF DIGIT 1 IN PRIME NUMBERS TILL 1 TRILLION

ANALYSIS OF OCCURRENCE OF DIGIT 1 IN PRIME NUMBERS TILL 1 TRILLION

... There have been lots of explorations about prime numbers, particularly regarding their distributions. Although we lack exact formula for this, many theoretical properties [1] of their distribution patterns ...

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The Proof of Goldbach’s Conjecture on Prime Numbers

The Proof of Goldbach’s Conjecture on Prime Numbers

... The prime numbers are randomly distributed in the set of positive integers but, there is a hidden regularity and stability in the way they are generated ...

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Development of New Method for Generating Prime Numbers

Development of New Method for Generating Prime Numbers

... large numbers, then calculation of given factorial creates significant ...natural numbers which include thousands, millions, billions and even some arbitrarily large number of natural numbers ...

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The Distribution of Prime Numbers by the Symmetry of the Smallest Sphenic Number

The Distribution of Prime Numbers by the Symmetry of the Smallest Sphenic Number

... We start by adapting the concept of the chain def.3 ; (1.7) to describe all the prime numbres , except the special prime numbers (1.3). By determining the position of each prime number, ...

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A Hidden Stability in the Random Behaviour of the Consecutive Prime Numbers

A Hidden Stability in the Random Behaviour of the Consecutive Prime Numbers

... natural numbers, it would be probably more adequate to say that “God created the prime numbers; all else is the work of man”, because every integer is either a prime number or a unique product ...

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New and Renewed Variations on Prime Numbers

New and Renewed Variations on Prime Numbers

... odd numbers in sum is (1 + 2 + 2 + 2 + ...The prime numbers are necessary to cover the gaps left by correlative ...without numbers; at multiply by the rest of the odd numbers it is ...

5

Addendum to Paper Entitled “Do Prime Numbers Obey a Three Dimensional Double Helix?”

Addendum to Paper Entitled “Do Prime Numbers Obey a Three Dimensional Double Helix?”

... of prime numbers, which, unfortunately, also includes prime products, by using the seven-column ...not prime numbers, many mathematicians, instead of listening to what mathematics was ...

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The Association of the Neutron, and the Quantum Properties of Hydrogen, with the Prime Numbers 2, 3, 5, 7, 11

The Association of the Neutron, and the Quantum Properties of Hydrogen, with the Prime Numbers 2, 3, 5, 7, 11

... The primes used in our model define a global organization of inter-relationships among the fundamental con- stants in a resonant harmonic system. And we postulate that higher prime numbers, higher ...

13

The Pattern of Prime Numbers

The Pattern of Prime Numbers

... natural numbers , seeming to obey no other law than that of chance , and nobody can predict where the next one will sprout ...the prime numbers exhibit stunning regularity , that there are laws ...

13

Triple prime numbers

Triple prime numbers

... triple prime numbers will be presented: Bölcsföldi-Károlyi prime numbers from 23 to 7737733, Bölcsföldi- Rosta prime numbers from 23 to 5533553, Bölcsföldi-Zakar prime ...

7

TwigStackPrime: A Novel Twig Join Algorithm Based on Prime Numbers

TwigStackPrime: A Novel Twig Join Algorithm Based on Prime Numbers

... of prime numbers to identify Parent-Child (P-C) relationships in TPQs during query ...Child Prime Label (CPL, for short) approach can be efficiently incorporated within the existing labelling ...

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A Modified and Secured RSA Public Key Cryptosystem Based on “n” Prime Numbers

A Modified and Secured RSA Public Key Cryptosystem Based on “n” Prime Numbers

... distinct prime numbers instead of two prime numbers and it in- creases the attacking time to find the large prime ...distinct prime numbers are ...

13

Explicit Estimates in the Theory of Prime Numbers

Explicit Estimates in the Theory of Prime Numbers

... the prime numbers for ...the prime numbers allow us to construct very efficient computer networks (see the survey on expander graphs [41] by Hoory, Linial and ...large” prime ...

105

Prime Numbers and Polynomials

Prime Numbers and Polynomials

... is prime, it is left untouched but every proper multiple of it is crossed ...its prime factors has to be not greater than √ x, we continue this process up to [ √ ...The numbers which have not been ...

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