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Goldbach Triples and Key Distribution
[article]
2012
arXiv
pre-print
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This paper investigates the use of the number of Goldbach triples, or the number of three prime partitions of an odd number, for use in the generation and distribution of cryptographic keys. ...
We propose a protocol for key distribution that is based on these numbers. ...
GOLDBACH TRIPLES PROTOCOL (GTP) We now present a protocol for key exchange that uses Goldbach triples. ...
arXiv:1209.0135v1
fatcat:e5wgmw3f4rabxcckzepduhmbdy
The Goldbach Conjecture - An Emergence Effect Of The Primes
2014
Zenodo
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Whereas the traditional approaches focus on the control over the distribution of the primes by means of circle method and sieve theory, we give a proof of the conjecture that is based on the constructive ...
The present paper shows that a principle known as emergence lies beneath the strong Goldbach conjecture. ...
INTRODUCTION In the course of the various attempts to solve the strong and the weak Goldbach conjecture both formulated by Goldbach and Euler in their correspondence in 1742a substantially wrong-headed ...
doi:10.5281/zenodo.322424
fatcat:v66ghshvjfgvnomrcjvg5smy3m
The Goldbach Conjecture - An Emergence Effect Of The Primes
2014
Zenodo
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Whereas the traditional approaches focus on the control over the distribution of the primes by means of circle method and sieve theory, we give a proof of the conjecture that is based on the constructive ...
The present paper shows that a principle known as emergence lies beneath the strong Goldbach conjecture. ...
INTRODUCTION In the course of the various attempts to solve the strong and the weak Goldbach conjecture both formulated by Goldbach and Euler in their correspondence in 1742a substantially wrong-headed ...
doi:10.5281/zenodo.806796
fatcat:4d4xxxqpe5cfbn324wu3qpktku
Goldbach'S Conjecture
2014
Zenodo
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This paper presents an elementary and short proof of the strong Goldbach conjecture. ...
Whereas the traditional approaches focus on the control over the distribution of the primes by means of circle method and sieve theory, the proof is based on the constructive properties of the prime numbers ...
INTRODUCTION In the course of the various attempts to solve the strong and the weak Goldbach conjecture both formulated by Goldbach and Euler in their correspondence in 1742a substantially wrong-headed ...
doi:10.5281/zenodo.290698
fatcat:hh2am7ofzjfkvonbo2fyzee6dq
A Proof of Goldbach Conjecture by Mirror Prime Decomposition
2022
WSEAS Transactions on Mathematics
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A typical and informal expression of the Goldbach conjecture may be stated as follows. ...
One of the challenging questions in number theories yet to be answered is the Goldbach's conjecture [7] that queried by Christian Goldbach in a letter to Leonhard Euler in 1742 [4, 8, 9, 10] . ...
The Goldbach theorem and MPD theorem proven in this work have found many interesting applications including a deepened of the nature and the recursive distribution patterns of primes, an expected fast ...
doi:10.37394/23206.2022.21.63
fatcat:j24tivpqh5hf3cegnsexaqfcni
Goldbach partitions and sequences
2014
Resonance
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Goldbach partitions can be used to create ellipses and circles on the number line and they can also be harnessed for cryptographic applications. ...
Properties of Goldbach partitions of numbers, as sums of primes, are presented and their potential applications to cryptography are described. ...
Suggested Reading
[1]
L E [3]
K R Kanchu and S Kak, Goldbach sequences for cryptographic applica-
tions, arXiv:1208.1984
[4]
D Cherlopalle and S Kak, Goldbach triples and key distribution, arXiv ...
doi:10.1007/s12045-014-0121-z
fatcat:n5tfcgivhngyvpms5ugbgszekq
Triple-A strategy: For supply chain performance of Indonesian SMEs
2022
Uncertain Supply Chain Management
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Supply chain management is an activity that effectively integrates suppliers, companies, retailers where goods are produced and distributed at the right quality, location, and time with minimum cost levels ...
Supply chain agility, supply chain adaptability, supply chain alignment, which is known as the Triple-A strategy, are elements to form supply chain performance. ...
Some large companies can create supply chains that make production and distribution faster and more cost-effective, by implementing triple-A that is agile, adaptable, and aligned (Lee, 2004) . ...
doi:10.5267/j.uscm.2021.10.007
fatcat:fe377b5fpvbq3j2jhv7wdwmycy
Integer Factorization
[chapter]
2017
Computational Number Theory and Modern Cryptography
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This publication is designed to provide accurate and authoritative information in regard to the subject matter covered. ...
All brand names and product names used in this book are trade names, service marks, trademarks or registered trademarks of their respective owners. ...
, and proof-reading. ...
doi:10.1002/9781118188606.ch4
fatcat:hnba3ckhcbdlrb7epzkeqgkpoy
Goldbach and Twin Prime Pairs: A Sieve Method to Connect the Two
[article]
2019
arXiv
pre-print
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2019 pre-print arXiv:1808.00520v4 fatcat:blsoezjx6zawrdmms45vfd6q2aOther Versions
for selected sets of Goldbach pairs. ...
We implicitly use the Chinese Remainder Theorem by way of the use of the midpoint in our intervals, and consider the sieve of Eratosthenes in such a way as to find a set of primes whose distribution is ...
We show, through combining Lemmas 2 and 3, that it is impossible for more than one yielding triple to exist in any four-element subset of J. ...
arXiv:1808.00520v5
fatcat:3s2y5hkjfvgrrpok2r7wrgdluy
Page 6143 of Mathematical Reviews Vol. , Issue 98J
[page]
1998
Mathematical Reviews
Preserved Fulltext
The Internet Archive has digitized a microfilm copy of this work. It may be possible to borrow a copy for reading.
The principal tool in the proof is a Bombieri-Vinogradov type theorem for triples p;, p2, p3 in arithmetic progression, with k; | pj +2, k2| p2+2 and k),k2 < x'/2(log x)~4. ...
From a study of these distributions, the author is able to provide probabilistic proofs and interpretations for the g-binomial theorem, the g-binomial series, two of Euler’s classic qg-series identities ...
Some experiments in number theory
[article]
2016
arXiv
pre-print
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We look at matrices defined by Gaussian primes and look at the growth of the determinant, trace. ...
We experiment with various Goldbach conjectures for Gaussian primes, Eisenstein primes, Hurwitz primes or Octavian primes. ...
We see that both the triple scalar product as well as the triple cross product are present. ...
arXiv:1606.05971v1
fatcat:53lfm6e3b5aihiplr2guimoli4
The work of James Maynard
[article]
2022
arXiv
pre-print
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What is the distribution of the normalized spacings ( +1 − )/log ? ...
In particular, they showed that +1 − ≤ 246 infinitely often, and conditional on the Elliott-Halberstam conjecture that infinitely often there are at least two primes in the triple , + 2, + 6. ...
Funding This work was partially supported by grants from the National Science Foundation, and a Simons Investigator Award from the Simons Foundation. ...
arXiv:2207.03463v1
fatcat:45d27y5cbffr7cs4qya6gpdvlm
Random Sequences Based on the Divisor Pairs Function
[article]
2012
arXiv
pre-print
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This function, the antecedents of which go to very ancient times, has randomness properties that can find applications in cryptography, key distribution, and other problems of computer science. ...
It is shown that the function is aperiodic and it has excellent autocorrelation properties. ...
transformations [10] , and Goldbach sequences [11] . ...
arXiv:1210.4614v2
fatcat:founydtrurhujoywtxkwo4rria
PRIME NUMBER LAW. DEPENDENCE OF PRIME NUMBERS ON THEIR ORDINAL NUMBERS AND GOLDBACH – EULER BINARY PROBLEM USING COMPUTER
ЗАКОН РАСПРЕДЕЛЕНИЯ ПРОСТЫХ ЧИСЕЛ. ЗАВИСИМОСТЬ ПРОСТЫХ ЧИСЕЛ ОТ ИХ ПОРЯДКОВЫХ НОМЕРОВ И БИНАРНАЯ ЗАДАЧА ГОЛЬДБАХА – ЭЙЛЕРА С ИСПОЛЬЗОВАНИЕМ ВЫЧИСЛИТЕЛЬНОЙ МАШИНЫ
2020
VESTNIK OF ASTRAKHAN STATE TECHNICAL UNIVERSITY SERIES MANAGEMENT COMPUTER SCIENCE AND INFORMATICS
ЗАКОН РАСПРЕДЕЛЕНИЯ ПРОСТЫХ ЧИСЕЛ. ЗАВИСИМОСТЬ ПРОСТЫХ ЧИСЕЛ ОТ ИХ ПОРЯДКОВЫХ НОМЕРОВ И БИНАРНАЯ ЗАДАЧА ГОЛЬДБАХА – ЭЙЛЕРА С ИСПОЛЬЗОВАНИЕМ ВЫЧИСЛИТЕЛЬНОЙ МАШИНЫ
Preserved Fulltext
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The article considers the methods of defining and finding the distribution of composite numbers CN, prime numbers PN, twins of prime numbers Tw and twins of composite numbers TwCN that do not have divisors ...
There has been proposed a method of obtaining primes by using their ordinal numbers in the set of primes and vice versa, as well as a new algorithm for searching and distributing primes based on a closedness ...
of the parameters of primes and composite numbers Θ in N The distribution of the parameters of primes and composite numbers of the set Θ is the analog of the distribution of primes 5 p ≥ and composite ...
doi:10.24143/2072-9502-2020-4-80-100
fatcat:gfmtodeatranteuclaqfl2myiy
Some Aspects of Analogical Reasoning in Mathematical Creativity
2010
International Conference on Computational Creativity
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Analogical reasoning can shed light on both of the two key processes of creativity -generation and evaluation. Hence, it is a powerful tool for creativity. ...
However, his multiplication was non-commutative, although it was still associative and distributive. ...
He was unable to define multiplication on triples, but did discover a way of defining it for quadruples as i 2 = j 2 = k 2 = ijk = −1. ...
dblp:conf/icccrea/PeaseGS10
fatcat:btdqdktorbebhh3cob2xdweig4
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