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АНАЛОГ ТЕСТА СОЛОВЕЯ–ШТРАССЕНА В КВАДРАТИЧНЫХ ЕВКЛИДОВЫХ КОЛЬЦАХ [PDF]

open access: yesTheoretical Computer Science, 2017
An analogue of the Solovay–Strassen primality test in general quadratic Euclidean domains is obtained. We prove that the obtained primality test allows us to prove that N is composite and has a probability of no less than 0.5 in polynomial time with ...
М. М. Васьковский   +5 more
core   +16 more sources

Primality test via quantum factorization [PDF]

open access: yesInternational Journal of Modern Physics C, 1997
We consider a probabilistic quantum implementation of a variation of the Pocklington-Lehmer N - 1 primality test using Shor's algorithm. O(log3 N log log N log log log N) elementary q-bit operations are required to determine the primality of a number N ...
Chau, HF, Lo, HK
core   +5 more sources

On the primality of totally ordered $q$-factorization graphs

open access: yesCanadian Journal of Mathematics, 2022
We introduce the combinatorial notion of a $q$-fatorization graph intended as a tool to study and express results related to the classification of prime simple modules for quantum affine algebras. These are directed graphs equipped with three decorations:
Silva, Clayton, Moura, Adriano
core   +3 more sources

Factorization and primality testing

open access: yes, 1989
Bressoud, David M   +2 more
core   +3 more sources

Direct product primality testing of graphs is GI-hard [PDF]

open access: yes, 2021
We investigate the computational complexity of the graph primality testing problem with respect to the direct product (also known as Kronecker, cardinal or tensor product). In [1] Imrich proves that both primality testing and a unique prime factorization
Calderoni, Luca   +2 more
core   +1 more source

Influence of Production Factors on Beef Primal Tissue Composition [PDF]

open access: yesFoods, 2022
This study used 1076 crossbred steers to evaluate the effects of calf-fed and yearling-fed beef production systems, implant strategies (with and without implants), and their interactions on the primal tissue composition (lean and fat components) of individual primal cuts using complete carcass dissection data.
Vipasha Sood   +9 more
openaire   +3 more sources

Some results about four Smarandache U-product sequences [PDF]

open access: yes, 1999
In this paper four Smarandache product sequences have been studied: Smarandache Square product sequence, Smarandache Cubic product sequence, Smarandache Factorial product sequence and Smarandache Palprime product sequence.
Russo, Felice
core   +1 more source

Algebraic divisibility sequences over function fields [PDF]

open access: yes, 2011
In this note we study the existence of primes and of primitive divisors in function field analogues of classical divisibility sequences. Under various hypotheses, we prove that Lucas sequences and elliptic divisibility sequences over function fields ...
Mahe, Valery   +14 more
core   +1 more source

Polynomial Factorization and Primality Criterion for Fermat Numbers

open access: yesINTERNATIONAL JOURNAL OF MATHEMATICS AND COMPUTER RESEARCH, 2022
Abstract Let p be a prime integer and let k ∈N. We purpose a factorization of X2k +1 (mod p) allowing ti give a primality criterion for Fermat numbers.
FALL, Oumar, Chérif Bachir DEME
openaire   +3 more sources

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