Results 51 to 60 of about 1,699,076 (196)
Prime Numbers Networks: Visualizing and Characterizing Relationships Between Prime Numbers
, 2023 Prime numbers constitute mathematical concepts of particular interest as a consequence of the their relative paucity among integer values, as well as to the relative unpredictability of their appearance and density along the sequence of integer values ...
da Fontoura Costa, Luciano
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A Game-Based Activity Related to Prime Numbers
Araştırma Temelli Etkinlik Dergisi, 2020 This study examined a game-based teaching activity on "Factors and Multiples" designed for the 6th grade students. The game aims to create a differentiated and enriched learning environment targeted the curriculum standard “The students determine prime ...
Bahriye Eda Yağmur
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Improvement of the Fermat’s Method: a New Algorithm of Factorization
Безопасность информационных технологий, 2010 The paper is devoted to a new algorithm of factorization which is based on a well known Fermat’s method and using prime numbers low. Examples of its realization and an estimation of algorithm’s speed are presented.
N. A. Kalenikova +2 more
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On the solutions of the equation p=x^2+y^2+1 in Lucas sequences
Wasit Journal for Pure Sciences, 2023 In 1970, Motohashi proved that there are an infinite number of primes having the form p=x^2+y^2+1 for some nonzero integers x and y. In this paper, we present a technique for studying the solutions of the equation p=x^2+y^2+1, where the unknowns are ...
Ali Sehen Athab, HAYDER R. HASHIM
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Divisibility by 3 of even multiperfect numbers of abundancy 3 and 4 [PDF]
, 2010 We say a number is flat if it can be written as a non-trivial power of 2 times an odd squarefree number. The power is the “exponent” and the number of odd primes the “length”. Let N be flat and 4-perfect with exponent a and length m.
Broughan, Kevin A., Zhou, Qizhi
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THE DISTRIBUTION OF PRIME NUMBERS [PDF]
, 2007 This is an expanded account of three lectures on the distribution of prime numbers given at the Montreal NATO school on equidistribution.
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Prime and prime power divisibility of Catalan numbers
Journal of Combinatorial Theory, Series A, 1973 AbstractFor any prime p, the sequence of Catalan numbers an=1n2n−2n−1 is divided by the an prime to p into blocks Bk(k > 0) of an divisible by p. The lengths and positions of the Bk are determined. Additional results are obtained on prime power divisibility of Catalan numbers.
Ronald Alter, K. K. Kubota
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On the subsequence of primes having prime subscripts [PDF]
, 2009 We explore the subsequence of primes with prime subscripts, (qn), and derive its density and estimates for its counting function. We obtain bounds for the weighted gaps between elements of the subsequence and show that for every positive integer m there ...
Barnett, A. Ross, Broughan, Kevin A.
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Investigating Schema-Free Encoding of Categorical Data Using Prime Numbers in a Geospatial Context
ISPRS International Journal of Geo-Information, 2019 Prime numbers are routinely used in a variety of applications, e.g., cryptography and hashing. A prime number can only be divided by one and the number itself.
Martin Sudmanns
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About finding of prime numbers that follow after given prime number without using computer
Дифференциальная геометрия многообразий фигур, 2020 It is shown how to define one or several prime numbers following after given prime number without using computer only by calculating several arithmetic progressions. Five examples of finding such prime numbers are given.
V.S. Malakhovsky
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