Search Results for: 11A41

Sequences in finite fields yielding divisors of Mersenne, Fermat and Lehmer numbers, II

A. M. S. Ramasamy Notes on Number Theory and Discrete Mathematics Print ISSN 1310–5132, Online ISSN 2367–8275 Volume 30, 2024, Number 2, Pages 236–252 DOI: 10.7546/nntdm.2024.30.2.236-252 Full paper (PDF, 284 Kb) Details Authors and affiliations A. M. S. Ramasamy Department … Continue reading →

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Characterization of prime and composite numbers using the notion of successive sum of integers and the consequence in primality testing

Fateh Mustapha Dehmeche, Douadi Mihoubi and Lahcene Ladjelat Notes on Number Theory and Discrete Mathematics Print ISSN 1310–5132, Online ISSN 2367–8275 Volume 30, 2024, Number 1, Pages 163–169 DOI: 10.7546/nntdm.2024.30.1.163-169 Full paper (PDF, 579 Kb) Details Authors and affiliations Fateh … Continue reading →

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Distance between consecutive elements of the multiplicative group of integers modulo n

Steven Brown Notes on Number Theory and Discrete Mathematics Print ISSN 1310–5132, Online ISSN 2367–8275 Volume 30, 2024, Number 1, Pages 81–99 DOI: 10.7546/nntdm.2024.30.1.81-99 Full paper (PDF, 314 Kb) Details Authors and affiliations Steven Brown 41 Boulevard du Roi, 78000 … Continue reading →

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Second-order linear recurrences with identically distributed residues modulo pe

Lawrence Somer and Michal Křížek Notes on Number Theory and Discrete Mathematics Print ISSN 1310–5132, Online ISSN 2367–8275 Volume 30, 2024, Number 1, Pages 47–66 DOI: 10.7546/nntdm.2024.30.1.47-66 Full paper (PDF, 257 Kb) Details Authors and affiliations Lawrence Somer Department of … Continue reading →

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Nontrivial lower bounds for the p-adic valuations of some type of rational numbers and an application for establishing the integrality of some rational sequences

Bakir Farhi Notes on Number Theory and Discrete Mathematics Print ISSN 1310–5132, Online ISSN 2367–8275 Volume 29, 2023, Number 4, Pages 820–826 DOI: 10.7546/nntdm.2023.29.4.820-826 Full paper (PDF, 228 Kb) Details Authors and affiliations Bakir Farhi Laboratoire de Mathématiques appliqueés, Faculté … Continue reading →

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Binary expansions of prime reciprocals

Brenda Navarro-Flores, José M. González-Barrios and Raúl Rueda Notes on Number Theory and Discrete Mathematics Print ISSN 1310–5132, Online ISSN 2367–8275 Volume 29, 2023, Number 4, Pages 724–736 DOI: 10.7546/nntdm.2023.29.4.724-736 Full paper (PDF, 257 Kb) Details Authors and affiliations Brenda … Continue reading →

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Perfect numbers, Wieferich primes and the solutions of {2n \choose n} \equiv 2^n \bmod n

Gabriel Guedes and Ricardo Machado Notes on Number Theory and Discrete Mathematics Print ISSN 1310–5132, Online ISSN 2367–8275 Volume 29, 2023, Number 4, Pages 705–712 DOI: 10.7546/nntdm.2023.29.4.705-712 Full paper (PDF, 302 Kb) Details Authors and affiliations Gabriel Guedes Department of … Continue reading →

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On certain inequalities for the prime counting function – Part III

József Sándor Notes on Number Theory and Discrete Mathematics Print ISSN 1310–5132, Online ISSN 2367–8275 Volume 29, 2023, Number 3, Pages 454–461 DOI: 10.7546/nntdm.2023.29.3.454-461 Full paper (PDF, 259 Kb) Details Authors and affiliations József Sándor Department of Mathematics, Babeș-Bolyai University … Continue reading →

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A class of solutions of the equation d(n2) = d(φ(n))

Zahra Amroune, Djamel Bellaouar and Abdelmadjid Boudaoud Notes on Number Theory and Discrete Mathematics Print ISSN 1310–5132, Online ISSN 2367–8275 Volume 29, 2023, Number 2, Pages 284–309 DOI: 10.7546/nntdm.2023.29.2.284-309 Full paper (PDF, 309 Kb) Details Authors and affiliations Zahra Amroune … Continue reading →

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Representations of positive integers as sums of arithmetic progressions, II

Chungwu Ho, Tian-Xiao He and Peter J.-S. Shiue Notes on Number Theory and Discrete Mathematics Print ISSN 1310–5132, Online ISSN 2367–8275 Volume 29, 2023, Number 2, Pages 260–275 DOI: 10.7546/nntdm.2023.29.2.260-275 Full paper (PDF, 265 Kb) Details Authors and affiliations Chungwu … Continue reading →

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