Results 31 to 40 of about 2,275,501 (283)

General Limit Formulae Involving Prime Numbers

open access: yesAnnales Mathematicae Silesianae, 2022
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
openaire   +3 more sources

Conjecture on a Prime Number Generator

open access: yesInternational Journal For Multidisciplinary Research, 2022
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.
openaire   +1 more source

SOME EXPRESSIONS OF THE SMARANDACHE PRIME FUNCTION [PDF]

open access: yes, 2000
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
core   +1 more source

Generalized Lie symmetry analysis for non-linear differential equations: A purely viscous fluid model

open access: yesResults in Physics, 2017
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

open access: yesJournal of Number Theory, 1972
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}).
openaire   +2 more sources

Phase transition in a stochastic prime-number generator

open access: yesPhysical Review E, 2007
accepted in PRE (Rapid Comm.)
Luque, Bartolo   +2 more
openaire   +3 more sources

Generating Prime Numbers Using Genetic Algorithms [PDF]

open access: yes2021 44th International Convention on Information, Communication and Electronic Technology (MIPRO), 2021
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.
openaire   +3 more sources

Forecasting the Dialysis Burden in Japan: Validation‐Based Projections of Prevalence and Incidence Through 2050

open access: yesTherapeutic Apheresis and Dialysis, EarlyView.
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

Partial depletion of plasminogen activator inhibitor‐1 decreases subcutaneous fat cell hypertrophy and liver cholesterol in high‐fat‐fed female mice

open access: yesFEBS Letters, EarlyView.
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

open access: yes
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
openaire   +2 more sources

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