Results 11 to 20 of about 76,351 (297)
Distribution of Square-Prime Numbers
Missouri Journal of Mathematical Sciences, 2022 For $a \neq 1$ and $p$ prime, we define numbers of the form $pa^2$ to be Square-Prime (SP) Numbers. For example, 75 = 3 $\cdot$ 25; 108 = 3 $\cdot$ 36; 45 = 5 $\cdot$ 9. These numbers are listed in the OEIS as A228056. We study the properties of these numbers, their distribution/density and also develop a few claims on their distribution/density.
Bhat, Raghavendra N.
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The Distribution of Prime Numbers
, 2022 In this paper, we discovered a new sequence of all prime numbers which end with a 1 or 9, the sequence defined by 𝑎(𝑛) = (𝑛^2 − 𝑛 − 1)/gcd (𝑏(𝑛), 𝑛^2 − 𝑛 − 1), with 𝑏(𝑛) satisfying the recurcive formula 𝑏(𝑛)=(𝑛 − 1). 𝑏(𝑛 − 1) − 𝑛. 𝑏(𝑛 − 2) and 𝑏(1) = 𝑏(2) = −1, the sequence 𝑎(𝑛) takes only 1’s and primes.
Mohammed Bouras (13257144)
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A conceptual proposal on the undecidability of the distribution law of prime numbers and theoretical consequences [PDF]
Ratio Mathematica, 2019 Within the conceptual framework of number theory, we consider prime numbers and the classic still unsolved problem to find a complete law of their distribution.
Gianfranco Minati
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On the Distribution of the Prime Numbers
Journal of Basic & Applied SciencesThis research explores the distribution of prime numbers, which are a fundamental topic in number theory. The study originated from the author's fascination with mathematics and the desire to discover something novel. The research proposes that the distribution of prime numbers follows a regular pattern starting from the number 2.
Khalil, Lolav Ahmed
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Distribution Of Prime Numbers,Twin Primes And Goldbach Conjecture
, 2012 The following paper deals with the distribution of prime numbers, the twin prime numbers and the Goldbach conjecture. Starting from the simple assertion that prime numbers are never even, a rule for the distribution of primes is arrived at. Following the same approach, the twin prime conjecture and the Goldbach conjecture are found to be true.
Ganguly, Subhajit +1 more
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Distribution of the prime numbers
Bulletin of Applied Mathematics and Mathematics EducationThis research explores the distribution of prime numbers, which are a fundamental topic in number theory. The study originated from the author's fascination with mathematics and the desire to discover something novel. The research proposes that the distribution of prime numbers follows a regular pattern starting from the number 2.
Khalil, Lolav Ahmed
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About the Distribution of Prime Numbers
, 2017 In this article, a prime number distribution formula is given. The formula is based on the periodic property of the sine function and an important trigonometric limit.
Federico Gabriel (3630940)
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Prime numbers in logarithmic intervals [PDF]
, 2010 Let $X$ be a large parameter. We will first give a new estimate for the integral moments of primes in short intervals of the type $(p,p+h]$, where $p\leq X$ is a prime number and $h=\odi{X}$.
A. Languasco +9 more
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LikeN's - a point of view on natural numbers
Annales Universitatis Paedagogicae Cracoviensis: Studia Mathematica, 2017 We define and study some simple structures which we call likens and which are conceptually near to both sets of natural numbers, i.e. N with addition and N*=N\{0} with multiplication.
Edward Tutaj
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Distribution image of prime numbers in natural numbers
, 2022 In this paper, the method of how to draw the image of the distribution of prime numbers in natural numbers is ...
Huang- Shan, Huang Shan
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