Results 241 to 250 of about 37,491 (303)
Recent insights into catechins-rich Assam tea extract for photoaging and senescent ageing. [PDF]
Kanlayavattanakul M +5 more
europepmc +1 more source
Tapered chiral nanoparticles as broad-spectrum thermally stable antivirals for SARS-CoV-2 variants. [PDF]
Gao R +16 more
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Research on technology innovation path of Intelligent Manufacturing enterprises-Based on qualitative comparative analysis of fuzzy sets under TOE framework. [PDF]
Li S, Zhao F.
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On the Number of Witnesses in the Miller–Rabin Primality Test
In this paper, we investigate the popular Miller–Rabin primality test and study its effectiveness. The ability of the test to determine prime integers is based on the difference of the number of primality witnesses for composite and prime integers. Let W
Shamil Ishmukhametov
exaly +2 more sources
Height bounds, nullstellensatz and primality
In this study, we find height bounds in the polynomial ring over the field of algebraic numbers to test the primality of an ideal. We also obtain height bounds in the arithmetic Nullstellensatz.
Haydar Goral
exaly +2 more sources
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On the Number of Primality Witnesses of Composite Integers
Russian Mathematics, 2021B. Mubarakov
exaly +2 more sources
Russian Mathematics, 2022
This article studies a combined primality test for natural numbers, called \textit{L2 test}, by combining the Lucas test and the Fermat condition test. The efficiency and complexity of this test are also analyzed, and a methodology for identifying composite numbers that pass the L2 test (called L2 pseudoprimes) is presented.
Ishmukhametov, S. T. +3 more
openaire +1 more source
This article studies a combined primality test for natural numbers, called \textit{L2 test}, by combining the Lucas test and the Fermat condition test. The efficiency and complexity of this test are also analyzed, and a methodology for identifying composite numbers that pass the L2 test (called L2 pseudoprimes) is presented.
Ishmukhametov, S. T. +3 more
openaire +1 more source
Mathematics of Computation, 1986
This paper contains a rather detailed description of the methods used for proving the primality of \(R_{1031}\) where \(R_ n=(10^ n-1)/9\) is a so-called repunit number. The interest in numbers of this kind stems from the fact (due to the second author) that the only repunit primes \(R_ n\) for \(n\leq 10 000\) are \(R_ 2\), \(R_{19}\), \(R_{23 ...
Williams, H. C., Dubner, Harvey
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This paper contains a rather detailed description of the methods used for proving the primality of \(R_{1031}\) where \(R_ n=(10^ n-1)/9\) is a so-called repunit number. The interest in numbers of this kind stems from the fact (due to the second author) that the only repunit primes \(R_ n\) for \(n\leq 10 000\) are \(R_ 2\), \(R_{19}\), \(R_{23 ...
Williams, H. C., Dubner, Harvey
openaire +2 more sources
Primal Fatherhood and Primal Rage
The American Journal of Psychoanalysis, 2007Fatherhood may unconsciously activate repudiated identifications with patriarchal primal fathers in men with progressive social values. These men may consciously cultivate an image of themselves as rebellious nonconformists. These men may wish to raise children who are fiercely independent just like them.
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