Results 11 to 20 of about 71,662 (302)
FLAT PRIMES AND THIN PRIMES [PDF]
Bulletin of the Australian Mathematical Society, 2009 AbstractA number is called upper (lower) flat if its shift by +1 ( −1) is a power of 2 times a squarefree number. If the squarefree number is 1 or a single odd prime then the original number is called upper (lower) thin. Upper flat numbers which are primes arise in the study of multi-perfect numbers.
Broughan, Kevin A., Zhou, Qizhi
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Scientific Reports, 2023 A dramatic increase in the number of outbreaks of dengue has recently been reported, and climate change is likely to extend the geographical spread of the disease. In this context, this paper shows how a neural network approach can incorporate dengue and
Paula Bergero +2 more
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To Prime, or Not to Prime: That Is the Question [PDF]
Cold Spring Harbor Symposia on Quantitative Biology, 2016 Mitochondrial priming is regulated by the B-cell lymphoma 2 (BCL-2) family of proteins and determines a cell's "readiness" for apoptosis. A highly primed cell will undergo apoptosis more easily than an unprimed cell in response to apoptotic stimuli via the intrinsic apoptotic pathway.
Danielle S, Potter, Anthony, Letai
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Semicircular elements induced by p-adic number fields [PDF]
Opuscula Mathematica, 2017 In this paper, we study semicircular-like elements, and semicircular elements induced by \(p\)-adic analysis, for each prime \(p\). Starting from a \(p\)-adic number field \(\mathbb{Q}_{p}\), we construct a Banach \(*\)-algebra \(\mathfrak{LS}_{p}\), for
Ilwoo Cho, Palle E. T. Jorgensen
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Nanomaterials, 2023 Synthesizing efficient heterogeneous catalysts with multiple active sites able to activate peroxymonosulfate (PMS) for the degradation of persistent organic pollutants continues to be a challenge for societies worldwide.
Elvira Gómez +3 more
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On Fourier Coefficients of the Symmetric Square L-Function at Piatetski-Shapiro Prime Twins
Mathematics, 2021 Let Pc(x)={p≤x|p,[pc]areprimes},c∈R+∖N and λsym2f(n) be the n-th Fourier coefficient associated with the symmetric square L-function L(s,sym2f). For any A>0, we prove that the mean value of λsym2f(n) over Pc(x) is ≪xlog−A−2x for almost all c∈ε,(5+3)/8−ε ...
Xue Han, Xiaofei Yan, Deyu Zhang
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A primality test for Kpⁿ⁺¹ numbers and a generalization of Safe primes and Sophie Germain primes [PDF]
Notes on Number Theory and Discrete Mathematics, 2023 In this paper, we provide a generalization of Proth's theorem for integers of the form Kpⁿ⁺¹. In particular, a primality test that requires a modular exponentiation (with a proper base a) similar to that of Fermat's test without the computation of any ...
Abdelrahman Ramzy
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A note on primes in short intervals [PDF]
, 2008 This paper is concerned with the number of primes in short intervals. We prove that for every $\theta>1/2$ the intervals $[x, x+x^{\theta}]$ contain the expected number of primes for $x\rightarrow \infty$, with the assumption of an heuristic hypothesis ...
Bazzanella, Danilo
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New Proof That the Sum of the Reciprocals of Primes Diverges
Mathematics, 2020 In this paper, we give a new proof of the divergence of the sum of the reciprocals of primes using the number of distinct prime divisors of positive integer n, and the placement of lattice points on a hyperbola given by n=pr with prime number p.
Vicente Jara-Vera +1 more
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Prime Slaughter: Playful Prime Numbers [PDF]
, 2012 Starting from the difficulty of creating playful representation of domain-specific abstract concepts, this study discusses the design of Prime Slaughter, a computer game aimed at facilitating individual sense-making of abstract mathematical concepts. Specifically the game proposes a transposition of primality and factorization into playful interactions,
Andrea Valente, Emanuela Marchetti
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