Search Results for: 11B50

A new proof of Lucas’ Theorem

Alexandre Laugier and Manjil P. Saikia Notes on Number Theory and Discrete Mathematics, ISSN 1310–5132 Volume 18, 2012, Number 4, Pages 1–6 Full paper (PDF, 171Kb Details Authors and affiliations Alexandre Laugier Lycée professionnel hotelier La Closerie 10 rue Pierre … Continue reading →

On sums of multiple squares

J. V. Leyendekkers and A. G. Shannon Notes on Number Theory and Discrete Mathematics, ISSN 1310–5132 Volume 18, 2012, Number 1, Pages 9–15 Full paper (PDF, 165 Kb) Details Authors and affiliations J. V. Leyendekkers Faculty of Science, The University … Continue reading →

Patterns related to the Smarandache circular sequence primality problem

Marco Ripà and Emanuele Dalmasso Notes on Number Theory and Discrete Mathematics, ISSN 1310–5132 Volume 18, 2012, Number 1, Pages 29–48 Full paper (PDF, 736 Kb) Details Authors and affiliations Marco Ripà Graduate student, Roma Tre University, Rome, Italy Emanuele … Continue reading →

The Pascal–Fibonacci numbers

J. V. Leyendekkers and A. G. Shannon Notes on Number Theory and Discrete Mathematics, ISSN 1310–5132 Volume 19, 2013, Number 3, Pages 5–11 Full paper (PDF, 131 Kb) Details Authors and affiliations J. V. Leyendekkers Faculty of Science, The University … Continue reading →

Fibonacci and Lucas primes

J. V. Leyendekkers and A. G. Shannon Notes on Number Theory and Discrete Mathematics, ISSN 1310–5132 Volume 19, 2013, Number 2, Pages 49–59 Full paper (PDF, 131 Kb) Details Authors and affiliations J. V. Leyendekkers Faculty of Science, The University … Continue reading →

The structure of the Fibonacci numbers in the modular ring Z5

J. V. Leyendekkers and A. G. Shannon Notes on Number Theory and Discrete Mathematics, ISSN 1310–5132 Volume 19, 2013, Number 1, Pages 66–72 Full paper (PDF, 149 Kb) Details Authors and affiliations J. V. Leyendekkers Faculty of Science, The University … Continue reading →

Gaussian Jacobsthal and Gaussian Jacobsthal Lucas polynomials

Mustafa Asci and Esref Gurel Notes on Number Theory and Discrete Mathematics, ISSN 1310–5132 Volume 19, 2013, Number 1, Pages 25–36 Full paper (PDF, 164 Kb) Details Authors and affiliations Mustafa Asci Department of Mathematics, Science and Arts Faculty Pamukkale … Continue reading →

Fibonacci primes

J. V. Leyendekkers and A. G. Shannon Notes on Number Theory and Discrete Mathematics, ISSN 1310–5132 Volume 20, 2014, Number 2, Pages 6–9 Full paper (PDF, 89 Kb) Details Authors and affiliations J. V. Leyendekkers Faculty of Science, The University … Continue reading →

The decimal string of the golden ratio

J. V. Leyendekkers and A. G. Shannon Notes on Number Theory and Discrete Mathematics, ISSN 1310–5132 Volume 20, 2014, Number 1, Pages 27–31 Full paper (PDF, 89 Kb) Details Authors and affiliations J. V. Leyendekkers Faculty of Science, The University … Continue reading →

Fibonacci numbers with prime subscripts: Digital sums for primes versus composites

J. V. Leyendekkers and A. G. Shannon Notes on Number Theory and Discrete Mathematics, ISSN 1310–5132 Volume 20, 2014, Number 3, Pages 45–49 Full paper (PDF, 190 Kb) Details Authors and affiliations J. V. Leyendekkers Faculty of Science, The University … Continue reading →