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Prime Number

Orderings of weakly correlated random variables, and prime number races with many contestants

Orderings of weakly correlated random variables, and prime number races with many contestants

... tive prime number theory, which investigates the discrepancies in the distribution of prime ...enyi prime number race” which is described by Knapowski and Tur´ an [14]: let q ≥ 3 and 2 ...

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An Approach to Block Based Ciphering Using Bit Wise Calculation for Representation of A Number Using Its Corresponding Perfect Square Number and Position of Prime Number

An Approach to Block Based Ciphering Using Bit Wise Calculation for Representation of A Number Using Its Corresponding Perfect Square Number and Position of Prime Number

... nearest prime number that is less than or equal to the new decimal ...(Nearest prime of 8 is 7). After getting the prime number we will calculate the position of the prime ...

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Implementing the Information Security using Modified RSA Algorithm with the Help of N Prime Number

Implementing the Information Security using Modified RSA Algorithm with the Help of N Prime Number

... ABSTRACT: In any communication, security is the most important issue in today‟s world. Lots of data security and data hiding algorithms have been developed in the last decade, which worked as motivation for the research. ...

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A Prime Number Approach to Matching an XML Twig Pattern including Parent-Child Edges

A Prime Number Approach to Matching an XML Twig Pattern including Parent-Child Edges

... dressed the limitations of information encoded within labels produced by existing labelling schemes. It fo- cus on performing join operations earlier, at leaf lev- els, where the selectivity of query nodes is at its peak ...

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RANDOM KEY & THE NTH PRIME NUMBER BASED SYMMETRIC KEY ENCRYPTION ALGORITHM

RANDOM KEY & THE NTH PRIME NUMBER BASED SYMMETRIC KEY ENCRYPTION ALGORITHM

... Beginner‟s view about the algorithm was to make some use of the ASCII numbers & the Prime numbers. Considering a character as plain text & n as ASCII Value of character the Cipher Text can be nth ...

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On the Diophantine Equation ${(q^2 )^n }^x+p^y= z^2$ where q is any Prime Number and p is an Odd Prime Number

On the Diophantine Equation ${(q^2 )^n }^x+p^y= z^2$ where q is any Prime Number and p is an Odd Prime Number

... and + = where ∈ and p is an odd prime. Also, we have discussed the generalization of + = to + = , where ∈ , q is any prime number and p is an odd prime number. Some solutions of these ...

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A Short Review on Prime Number Theorem

A Short Review on Prime Number Theorem

... Analytic number theory is a branch of number theory that uses methods from mathematical analysis to solve problems about natural numbers [1, ...analytic number theory may be said to have begun in the ...

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A NEW HARDWARE CIRCUIT FOR EVALUATION OF VALUE OF A PRIME NUMBER WITH EXPONENTIAL FORM

A NEW HARDWARE CIRCUIT FOR EVALUATION OF VALUE OF A PRIME NUMBER WITH EXPONENTIAL FORM

... the prime base and i is the ...integer number can be represented by the multiplication of various prime numbers and each of the prime number may be in the form of x i ...the ...

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A NEW GENERATING TACTICS OF PRIME NUMBER USING POWER OF THE NUMBERS

A NEW GENERATING TACTICS OF PRIME NUMBER USING POWER OF THE NUMBERS

... one prime number for encryption of data or use as user name and another prime number for decryption of data or password, this way using prime numbers we can securely transmit data and ...

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Estimates for lattice points of quadratic forms with integral coefficients modulo a prime number square

Estimates for lattice points of quadratic forms with integral coefficients modulo a prime number square

... To show that x∈V α(x) is positive, it suffices to show that the error term is smaller in absolute value than the (positive) main term on the right-hand side of () or (). One tries to make an optimal choice of α(x) in ...

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Reusable Prime Number Labeling Scheme for Hierarchical Data Representation in Relational Databases

Reusable Prime Number Labeling Scheme for Hierarchical Data Representation in Relational Databases

... the number of generations any branch may ...all prime numbers less than or equal to n, that fits into the allocated space is 47# = ...each prime. Assuming that the prime position must be less ...

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Asymptotic Harmonic Behavior in the Prime Number Distribution

Asymptotic Harmonic Behavior in the Prime Number Distribution

... [7] Keiper, J.B. (1992) Power Series Expansions of Riemann’s ξ Function. Mathematics of Computation, 58, 765-773. [8] Ford, K. (2002) Zero-Free Regions for the Riemann Zeta Function. Number Theory for the ...

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On Artin Cokernel of the Group (Q2mxD3) where  m= 2h p  and p is prime number

On Artin Cokernel of the Group (Q2mxD3) where m= 2h p and p is prime number

... Artin characters of the finite group can be displayed in a table called Artin characters table of G which is denoted by Ar(G); The first row is -conjugate classes ; The second row is The number of elements in ...

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On Artincokernel of The Group (Q2m x D3) Where m= 2p and p is prime number

On Artincokernel of The Group (Q2m x D3) Where m= 2p and p is prime number

... Artin characters of the finite group can be displayed in a table called Artin characters table of G which is denoted by Ar(G); The first row is -conjugate classes ; The second row is The number of elements in ...

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Class field theory and the first case of Fermat's last theorem.

Class field theory and the first case of Fermat's last theorem.

... Lei p be a prime number, and suppose that there exists a positive integer k not divisible by p for which kp + l is a prime number not dividing Nk· Then the first case of Fermat's last th[r] ...

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Generalizing Benford's Law Using Power Laws: Application to Integer Sequences

Generalizing Benford's Law Using Power Laws: Application to Integer Sequences

... decreasing number of primes between those with the same number of primes with first digit 1 and 9 as in the PB best ...the prime number sequence might be distributed this ...

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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

... the prime numbres , except the special prime numbers ...each prime number, according to two integer ...chain number or the position of the chain, the second integer 1 m 8; represents ...

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ALGORITHM IN THE CONSTRUCTION OF THE DIFFERENCE SYSTEMS SETS

ALGORITHM IN THE CONSTRUCTION OF THE DIFFERENCE SYSTEMS SETS

... of prime order _ difference sets of Paley ...of prime of a finite field of order defined by a subgroup of ( ) ∗ and its cosets and partitioning the difference sets of Paley type, or equivalently, by ...

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Study of prime numbers through their historical development applying Matlab

Study of prime numbers through their historical development applying Matlab

... In this approach of prime numbers several conclusions can be obtained. For example, equation (5) is easy to demonstrate, and at the same time, it is important to make this demonstration; Matlab can help with this. ...

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Structural Framework of Riemann Hypothesis with Insight into the Spiral Structure for Elementary Particles

Structural Framework of Riemann Hypothesis with Insight into the Spiral Structure for Elementary Particles

... of Prime Number to the Spiral Structure for the Elementary Particles, we can find the prime numbers to be representing the structural description for the accelerated spiral structure of elementary ...

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