A Numerical Study on the Regularity of d-Primes via Informational Entropy and Visibility Algorithms by B. L. Mayer, L. H. A. Monteiro

“…From this definition, the usual prime numbers correspond to the particular case d=2. …”
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On Some Properties of the Hofstadter–Mertens Function by Pavel Trojovský

“…In particular, as we shall see, this function encodes many interesting properties which relate prime numbers to “meta-sequences”.…”
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New proof and generalization of some results on translated sums over k-almost primes by Laib, Ilias

“…A sequence $\mathcal{A}$ of strictly positive integers is said to be primitive if none of its terms divides the others, Erdős conjectured that the sum $f(\mathcal{A},0)\le f(\mathbb{N}_{1},0),$ where $\mathbb{N}_{1}$ is the sequence of prime numbers and $f(\mathcal{A},h)=\sum _{a\,\in \,\mathcal{A}}$ $\frac{1}{a(\log a+h) }$. …”
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RESEARCH OF PARAMETERS OF ENCODING OF THE ALGORITHM WITH VARIABLE FRAGMENTATION OF THE UNIT by K. O. Zakharova

“…Based on the results of the study of the operation of the algorithm with various encryption parameters (p and q), the following recommendations for the selection of parameters are formulated: p and q are mutually prime numbers, the partition of the sequence into p-subblocks is greater than the partition into q-subblocks (p > q).…”
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Symmetric Resonance Mechanism for Elimination of Parasitic Torque of a Permanent Magnet Generator under Stable Load by K. V. Dobrego, I. A. Koznacheev

“…Pi resonance is primarily realized in the case of a small difference in the values of Nr and Ns, which corresponds to the location near the main diagonal of the pi resonance table, as well as at the values of Nr, Ns corresponding to prime numbers. The number of configurations {Nr, Ns} providing pi resonance (compensation of parasitic torques) is the largest for the sinusoidal magnetic flux density and decreases if the magnetic flux density function is approximated by a high-degree Fourier series. …”
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Size, spines, and primes: the drivers of collar spine numbers among echinostome trematodes by Bronwen Presswell, Priscila M. Salloum, Jerusha Bennett, Katherine E. Buschang, Robert Poulin

“…First, we confirm that even numbers of spines are the norm among species in which they are arranged as 2 arcs with a central gap, while odd numbers (mainly prime numbers) predominate among species in which spines form a continuous collar. …”
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Pengamanan Pesan E-Complaint Fasilitas dan Kinerja Civitas Akademika Menggunakan Algoritma RSA by Dwi Yuny Sylfania, Fransiskus Panca Juniawan, Laurentinus Laurentinus, Hengki Hengki

“…The choice of RSA as a cryptographic algorithm is due to the difficulty of factoring prime numbers in key generation. This factoring will generate a public key for the message encryption process and a private key for the message decryption process. …”
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