Results 11 to 20 of about 14,157 (261)
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 +2 more
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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.
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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 +3 more
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A note on Chebyshev's theorem [PDF]
Notes on Number Theory and Discrete MathematicsWe 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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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. +1 more
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The Sampling Distribution of Primes [PDF]
Proceedings of the National Academy of Sciences, 1963 This paper was communicated to the journal by H. S. Vandiver, number theorist and fellow of the US National Academy of Sciences.
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On the distribution of twin primes [PDF]
International Journal of Contemporary Mathematical Sciences, 2021 10 ...
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Some Density Results on Sets of Primes for Hecke Eigenvalues
Journal of Mathematics, 2021 Let f and g be two distinct holomorphic cusp forms for SL2ℤ, and we writeλfn and λgn for their corresponding Hecke eigenvalues. Firstly, we study the behavior of the signs of the sequences λfpλfpj for any even positive integer j.
Aiyue Zou, Huixue Lao, Shu Luo
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Distribution of generalized Fermat prime numbers [PDF]
Mathematics of Computation, 2001 Summary: Numbers of the form \(F_{b,n}=b^{2^n}+1\) are called Generalized Fermat Numbers (GFN). A computational method for testing the probable primality of a GFN is described which is as fast as testing a number of the form \(2^m-1\). The theoretical distributions of GFN primes, for fixed \(n\), are derived and compared to the actual distributions ...
Dubner, Harvey, Gallot, Yves
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