Search Results for: 11A41

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 Download PDF (579 Kb) Details Authors and affiliations Fateh Mustapha … Continue reading

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

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 Download PDF (314 Kb) Details Authors and affiliations Steven Brown 41 Boulevard du Roi, 78000 Versailles, … Continue reading

Comments Off on Distance between consecutive elements of the multiplicative group of integers modulo n

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 Download PDF (257 Kb) Details Authors and affiliations Lawrence Somer Department of Mathematics, … Continue reading

Comments Off on Second-order linear recurrences with identically distributed residues modulo pe

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 Download PDF (228 Kb) Details Authors and affiliations Bakir Farhi Laboratoire de Mathématiques appliqueés, Faculté des … Continue reading

Comments Off on 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

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 Download PDF (257 Kb) Details Authors and affiliations Brenda Navarro-Flores … Continue reading

Comments Off on Binary expansions of prime reciprocals

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 Download PDF (302 Kb) Details Authors and affiliations Gabriel Guedes Department of Mathematics, … Continue reading

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

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 Download PDF (259 Kb) Details Authors and affiliations József Sándor Department of Mathematics, Babeș-Bolyai University Cluj-Napoca, … Continue reading

Comments Off on On certain inequalities for the prime counting function – Part III

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 Download PDF (309 Kb) Details Authors and affiliations Zahra Amroune Laboratory … Continue reading

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

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 Download PDF (265 Kb) Details Authors and affiliations Chungwu Ho … Continue reading

Comments Off on Representations of positive integers as sums of arithmetic progressions, II

Representations of positive integers as sums of arithmetic progressions, I

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 241–259 DOI: 10.7546/nntdm.2023.29.2.241-259 Download PDF (284 Kb) Details Authors and affiliations Chungwu Ho … Continue reading

Comments Off on Representations of positive integers as sums of arithmetic progressions, I