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On the number of prime implicants
Discrete Mathematics, 1978 AbstractIt is shown that any Boolean expression in disjunctive normal form having k conjuncts, can have at most 2k prime implicants. However, there exist such expressions that have 2k2 prime implicants. It is also shown that any Boolean expression on n distinct propositional variables can have at most O(3nn) prime implicants, and that there exist ...
Ashok K. Chandra, George Markowsky
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METHOD OF TESTING LARGE NUMBERS FOR PRIMALITY
Сучасні інформаційні системиThe current stage of scientific and technological development entails ensuring information security across all domains of human activity. Confidential data and wireless channels of remote control systems are particularly sensitive to various types of ...
Vladimir Pevnev +3 more
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The American Mathematical Monthly, 2006 a survey article; 38 pages (including appendices by Giuliana Davidoff and Michael Guy), 10 tables, 6 ...
Andrew Granville, Greg Martin
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Computer Assisted Surgery, 2019 Purpose: Encryption of patient information has become an important issue in medical ultrasound instrumentation to secure information when images are accessed off-site.
Seung-Hyeok Shin +2 more
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, 2015 Thefirstprimenumberwiththespecialpropertythatitsadditionwithreversalgivesasresultaprimenumbertoo is 229. The prime numbers with this property will be called Luhn prime numbers.
Octavian Cira, Florentin Smarandache
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The concept of prime number and the strategies used in explaining prime numbers
South African Journal of Education, 2020 The teaching of mathematics does not only require the teacher to have knowledge about the subject, but the teacher also needs mathematical knowledge that is useful for the teaching and explaining thereof, as the teacher’s knowledge effects the students ...
Nejla Gürefe, Gülfem Sarpkaya Aktaş
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The number of primes is finite [PDF]
Mathematics of Computation, 1999 For a positive integer n n let
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Eigenvalues of diffusion operators and Prime numbers
Cumhuriyet Science Journal, 2017 In this paper, the relationship between the positive eigenvalues ofdiffusion operators and prime numbers is investigated. We also propose a Sturm-Liouvilleproblem with Coulomb singularity that shows eigenvalues the distribution ofprime numbers.
Rauf Amirov, İbrahim Adalar
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