Results 1 to 10 of about 1,271,098 (314)
Mitochondrial Ca2+ remodeling is a prime factor in oncogenic behavior [PDF]
Frontiers in Oncology, 2015 Cancer is sustained by defects in the mechanisms underlying cell proliferation, mitochondrial metabolism and cell death. Mitochondrial Ca2+ ions are central to all these processes, serving as signaling molecules with specific spatial localization ...
Alessandro eRimessi +4 more
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On a conjecture on shifted primes with large prime factors [PDF]
Bulletin of the Australian Mathematical Society, 2022 AbstractLet $\mathcal {P}$ be the set of primes and $\pi (x)$ the number of primes not exceeding x. Let $P^+(n)$ be the largest prime factor of n, with the convention $P^+(1)=1$ , and $ T_c(x)=\#\{p\le x:p\in \mathcal {P},P^+(p-1)\ge p^c\}. $ Motivated by a conjecture of Chen and Chen [‘On the largest prime factor of shifted primes’, Acta Math.
Yuchen Ding
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Nature, 1957 Factor Table for the First Ten Millions Containing the Smallest Factor of Every Number not Divisible by 2, 3, 5, or 7 between the Limits 0 and 10,017,000. By Derrick Norman Lehmer. Pp. xvi + 476. (New York and London: Hafner Publishing Company, 1956.) 160s. List of Prime Numbers from 1 to 10,006,721 By Derrick Norman Lehmer. Pp.
J. C. P. Miller
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The Median Largest Prime Factor
Journal of Number Theory, 2013 Let $M(x)$ denote the median largest prime factor of the integers in the interval $[1,x]$. We prove that $$M(x)=x^{\frac{1}{\sqrt{e}}\exp(-\text{li}_{f}(x)/x)}+O_{\epsilon}(x^{\frac{1}{\sqrt{e}}}e^{-c(\log x)^{3/5-\epsilon}})$$ where $\text{li}_{f}(x ...
Naslund, Eric
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On the Universal Encoding Optimality of Primes
Mathematics, 2021 The factorial-additive optimality of primes, i.e., that the sum of prime factors is always minimum, implies that prime numbers are a solution to an integer linear programming (ILP) encoding optimization problem. The summative optimality of primes follows
Ioannis N. M. Papadakis
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Explore the dominant factor in prime editing via a view of DNA processing
Synthetic and Systems Biotechnology, 2023 Prime editing is a revolutionary gene-editing method that is capable of introducing insertions, deletions and base substitutions into the genome. However, the editing efficiency of Prime Editor (PE) is limited by the DNA repair process.
Zhimeng Xu +6 more
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New Semi-Prime Factorization and Application in Large RSA Key Attacks
Journal of Cybersecurity and Privacy, 2021 Semi-prime factorization is an increasingly important number theoretic problem, since it is computationally intractable. Further, this property has been applied in public-key cryptography, such as the Rivest–Shamir–Adleman (RSA) encryption systems for ...
Anthony Overmars +1 more
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Some Observations on the Greatest Prime Factor of an Integer
Annales Mathematicae Silesianae, 2023 We examine the multiplicity of the greatest prime factor in k-full numbers and k-free numbers. We generalize a well-known result on greatest prime factors and obtain formulas related with the Riemann zeta function.
Jakimczuk Rafael
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Assessment of the effect of environmental factors on fish growth using growth coefficients calculated from mathematical description of fish growth by means of polynomials [PDF]
Acta Ichthyologica et Piscatoria, 1980 The paper describes a method for a mathematical characterisation of fish growth with the use of non-asymptotic growth models (bi- and trinomials). The method allows to obtain results equally accurate as when von Bertalanffy′s equation is used ...
J. Szypuła
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Graded weakly 1-absorbing prime ideals
Cubo, 2022 In this paper, we introduce and study graded weakly 1-absorbing prime ideals in graded commutative rings. Let $G$ be a group and $R$ be a $G$-graded commutative ring with a nonzero identity $1\neq0$.
Ünsal Tekir +3 more
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