Results 31 to 40 of about 2,275,501 (283)
General Limit Formulae Involving Prime Numbers
Abstract Let p n be the n th prime number. In this note, we study strictly increasing sequences of positive integers A
Reza Farhadian, Rafael Jakimczuk
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Conjecture on a Prime Number Generator
I have developed a prime number generator with the help of prime number as if 2^n-1=P is a prime number and n is a positive integer then n must be a prime number. But the reverse is not true always true.
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SOME EXPRESSIONS OF THE SMARANDACHE PRIME FUNCTION [PDF]
The main purpose of this paper is using elementary arithmetical functions to give some expressions of the Smarandache Prime Function P(n)
Ruiz, Sebastian Martin
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Prime objective of present study is to provide procedure in obtaining symmetries for mixed convection flow of viscous fluid due to an inclined porous stretching sheet. Two cases of stretching velocity namely power law and exponential are utilized.
Khalil Ur Rehman +3 more
doaj +1 more source
The prime number theorem for generalized primes
AbstractSuppose the integer-counting function N of a system of generalized prime numbers satisfies N(x) = Ax + O(x exp{−c logα x}) for some c and α with c > 0 and 0 < α ≤ 1. This paper improves a result of Malliavin by proving that if b ≤ α7.91, then the prime-counting function π satisfies π(x) = lix + O(x exp{−logbx}).
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Phase transition in a stochastic prime-number generator
accepted in PRE (Rapid Comm.)
Luque, Bartolo +2 more
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Generating Prime Numbers Using Genetic Algorithms [PDF]
Genetic algorithms are well-known and frequently used heuristic methods for solving optimization problems. In modern cryptography, the generation of large primes has an important role in the implementation of public-key cryptosystems such as RSA. In general, the prime number generation starts from the random number.
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ABSTRACT Background Japan has one of the highest dialysis prevalence rates worldwide and a shrinking, aging population. Whether dialysis burden has entered a sustained post‐peak phase or whether recent declines partly reflect pandemic‐related disruptions remains uncertain.
Hatice Şahin +2 more
wiley +1 more source
Obesity raises blood levels of PAI‐1, a protein linked to metabolic dysfunction‐associated steatotic liver disease in people with obesity. In female mice fed a high‐fat diet, partially lowering PAI‐1 led to smaller subcutaneous fat cells and lower liver cholesterol, without changing body weight or insulin sensitivity.
Claudia E. Ramirez Bustamante +10 more
wiley +1 more source
Generalized Mersenne Numbers and Prime Number Generation
In this study, Mersenne numbers are generalized to include an infinite set defined by the sequence of odd primes. To implement a straightforward algorithm for generating prime numbers on a mainframe, similar to the construction of Mersenne numbers, this paper uses the transformation of sets of natural numbers into infinite-dimensional row vectors. This
Carbó-Dorca, Ramon +1 more
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