Results 11 to 20 of about 6,542 (225)
In this article, a new deterministic primality test for Mersenne primes is presented. It also includes a comparative study between well-known primality tests in order to identify the best test.
Yahia Awad, Ramiz Hindi, Haissam Chehade
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New properties of divisors of natural number [PDF]
The divisors of a natural number are very important for several areas of mathematics, representing a promising field in number theory. This work sought to analyze new relations involving the divisors of natural numbers, extending them to prime numbers ...
Hamilton Brito da Silva
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This paper introduces PRIMAL, a novel learning-based frame-work that enables fast and accurate power estimation for ASIC designs. PRIMAL trains machine learning (ML) models with design verification testbenches for characterizing the power of reusable circuit building blocks. The trained models can then be used to generate detailed power profiles of the
Yuan Zhou +5 more
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On the calculation of integer sequences, associated with twin primes
The twin primes conjecture states that there are infinitely many twin primes. While studying this hypothesis, many important results were obtained, but the problem remains unsolved.
Igoris Belovas +2 more
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Asymptotic ω-Primality of Finitely Generated Cancelative Commutative Monoids
The computation of ω-primality has been object of study, mainly, for numerical semigroups due to its multiple applications to the Factorization Theory. However, its asymptotic version is less well known.
Juan Ignacio García-García +2 more
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The structure of groups with cyclic commutator subgroups indecomposable to a subdirect product of groups [PDF]
The article studies finite groups indecomposable to subdirect product of groups (subdirectly irreducible groups), commutator subgroups of which are cyclic subgroups.
Kozlov, Vladimir Anatolievich +1 more
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ON PRIMALITY OF THE SMARANDACHE SYMMETRIC SEQUENCES [PDF]
The study of primality for the Smarandache sequences represents a recent research direction on the Smarandache type notions. A few articles that were published recently deal with the primality of the direct and reverse Smarandache sequences.
Tabirca, S., Tabirca, T.
core +1 more source
A note on the primality of sums [PDF]
It is shown that when adding a large number to a set of much smaller numbers, the number of primes or twin ranks (see text) in the resulted sumset can be substantially larger than the theoretical values given by the Prime Number Theorem or Hardy ...
Antonie Dinculescu
doaj
Optimized AKS Primality Testing: A Fluctuation Theory Perspective
The AKS algorithm is an important breakthrough in showing that primality testing of an integer can be done in polynomial time. In this paper, we study the optimization of its runtime. Namely, given a finite cardinality set of alphabets of a deterministic
Bhupendra Nath Tiwari +3 more
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Primes and Their Connection to Certain Polyhedral Number Sequences
A collection of results is given regarding whether a prime can be the sum or difference of two polyhedral numbers, as well as some primality restrictions on several sequences.
Benjamin Lee Warren
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