About
16
Publications
1,084
Reads
How we measure 'reads'
A 'read' is counted each time someone views a publication summary (such as the title, abstract, and list of authors), clicks on a figure, or views or downloads the full-text. Learn more
15
Citations
Introduction
GRAPH THEORETICAL APROACH TO STRUCTURAL REPRESENTATION OF SYSTEMS (An attempt to generalize the holography principle) Kyoto, Japan, 1978.
STRUCTURE MEMORY (SM) as a universal graph model of the human memory
Society Holography (The Holography principle’s Generalisation to the Society)
Dénes type Symmetric Prime Number theorem and its application to proof of the Even Goldbach conjecture
Skills and Expertise
Publications
Publications (16)
In the present paper, using the results of the [Dénes 2001c] article, we prove by an indirect method that there are infinitely many Mersenne primes.
Edmund Georg Hermann Landau (1877–1938) was a German mathematician who wrote more than 250 articles on number theory, which had a major impact on the development of the subject. From 1909, he was a professor at the University of Göttingen.
At the International Congress of Mathematicians in 1912 (Cambridge, England), Landau listed four problems (co...
The author has been proven in 2001 the complementary prime sieve theorem (see [Dénes 2001]). Due to this theorem, for any N=6k+1 type natural number are composite if and only if one of the following is fulfilled: k=6uv+u+v or k=6uv-u-v. Based on this theorem is the indirect proof of the Twin prime conjecture, so thereafter we can called Twin prime...
The present paper is the summary of a book which is about to be published. In this book, the authors at first introduce a model based on structural mathematics, which is suitable to describe and analyse the basic laws of both the living and nonliving nature. They prove that there are irreconcilable limitations to classic mathematical tools suitable...
Az informaciobiztonsag technikai, kriptologiai megkozelitesevel, a biztonsagos informacios tarsadalom problematikajaval sok cikkemben, tanulmanyomban foglalkoztam. Jelen dolgozatomban az USA peldajan mint esettanulmanyon keresztul szeretnem felhivni a figyelmet az informaciobiztonsag es igy az informacios tarsadalom nehany, egyelore kibekithetetlen...
Estimation of the number of twin primes by application of
the Complementary Prime Sive
T a m á s D é n e s mathematician
free-lance expert
e-mail: tdenest@freemail.hu
Published in the journal PU.M.A. Vol. 13 (2002), No. 3.
--- . ---
Abstract. In the [1] paper we introduced the „Complementary Prime-Sieve” (C.P.S.) which gives necessary and suf...
The above mentioned “complementary prime-sieve” (for short: C.P.S.) gives a necessary sufficient condition for natural numbers of forms 6k+1 and 6k-1 (k=1,2,3,⋯) to be composite numbers. Theorems 1 and 2 imply a short elementary proof for the infinitude of the prime numbers. Using C.P.S. one does not need the use of Dirichlet’s theorem. With the ai...
A necessary condition for u
p
to be a Fibonacci prime is that p be a prime number. Another condition for u
p
≥ 5 to be a Fibonacci prime is by Theorem 1. of [4] u
p
= 6k ± 1 (Theorem 1. of [4]). If u
p
is not a prime number, then its prime factorization has the form u
p
= Π (6r ± 1)(6s ± 1) by the Complementary Prime Sieve (Theorem 2. of [4]), and...
