Results 11 to 20 of about 166,083,503 (302)

On the numbers that determine the distribution of twin primes [PDF]

Surveys in Mathematics and its Applications, 2018
This paper is about a class of numbers indirectly connected to the twin primes, which have not been investigated so far. With the help of these numbers, we look at the set of twin primes from a different perspective and bring the reader's attention to ...
Antonie Dinculescu
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Lattice Points on the Fermat Factorization Method

Journal of Mathematics, 2022
In this paper, we study algebraic properties of lattice points of the arc on the conics x2−dy2=N especially for d=1, which is the Fermat factorization equation that is the main idea of many important factorization methods like the quadratic field sieve ...
Regis Freguin Babindamana, Gilda Rech Bansimba, Basile Guy Richard Bossoto   +2 more
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A note on primes in short intervals [PDF]

, 2008
This paper is concerned with the number of primes in short intervals. We prove that for every $\theta>1/2$ the intervals $[x, x+x^{\theta}]$ contain the expected number of primes for $x\rightarrow \infty$, with the assumption of an heuristic hypothesis ...
Bazzanella, Danilo
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The Density of Primes Less or Equal to a Positive Integer up to 20,000: Fractal Approximation

Recoletos Multidisciplinary Research Journal, 2013
The highly irregular and rough fluctuations of the number of primes less or equal to a positive integer x for smaller values of x ( x≤20,000) renders the approximations through the Prime Number Theorem quite unreliable. A fractal probability distribution
Rodel B. Azura, Dennis A. Tarepe, Mark S. Borres, Jocelyn T. Panduyos   +3 more
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A note on Chebyshev's theorem [PDF]

Notes on Number Theory and Discrete Mathematics
We revisit a classical theorem of Chebyshev about distribution of primes on intervals (n, 2n), n∈ℕ, and prove a generalization of it. Extending Erdős' arithmetical-combinatorial argument, we show that for all k∈ℕ, there is nₖ∈ℕ such that the intervals ...
A. Bërdëllima
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Modeling the Dirichlet distribution using multiplicative functions

Nonlinear Analysis, 2020
For q,m,n,d ∈ N and some multiplicative function f > 0, we denote by T3(n) the sum of f(d) over the ordered triples (q,m,d) with qmd = n. We prove that Cesaro mean of distribution functions defined by means of T3 uniformly converges to the one-parameter ...
Gintautas Bareikis, Algirdas Mačiulis
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The exceptional set for the number of primes in short intervals [PDF]

, 2000
We investigate the exceptional set Eδ(X, h) associated with the asymptotic formula for the number of primes in short intervals; see Section 1 for the definition.
Perelli, A, Perelli A., PERELLI, ALBERTO, Perelli, A., Bazzanella, Danilo, Bazzanella, D, D. BAZZANELLA   +6 more
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Amodal completion of partly occluded figures: Effect of contour orientation [PDF]

Psihologija, 2003
In present study the temporal dimension of amodal completion in visual occlusion was investigated. We supposed that the visual system prefers to complete normally (vertically-horizontally) oriented contours than the oblique ones. Using the prime-matching
Marković Slobodan S., Gvozdenović Vasilije P.   +1 more
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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, ZACCAGNINI, Alessandro, A. ZACCAGNINI, LANGUASCO, ALESSANDRO, Bazzanella, Danilo, Languasco, A., Zaccagnini, A., Languasco A., Zaccagnini A., D. BAZZANELLA   +9 more
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ON THE THIRD SMARANDACHE CONJECTURE ABOUT PRIMES [PDF]

, 2001
In this paper one basically verifies the third Smarandache conjecture on ...
Le, Maohua
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