Lehmer Property for Some Integer Sequences

ALA’A AL-KATEEB AND M.K. SAHUKAR, Department of Mathematics, Yarmouk University, Irbid, Jordan

ABSTRACT

In this note, we prove that there is no number with theLehmer property in the sequences of Jacobsthal or Jacobsthal-Lucas numbers, the Balancing and Balancing-Lucas numbers.

KEYWORDS

Lehmar property, Jacobsthal numbers, Jacobsthal-Lucas numbers, Balancing numbers, Balancing-Lucas numbers, Euler’s function.

Markov Chains and Covid

Alessio Drivet1, 1GeoGebra Institute of Turin, Italy

ABSTRACT

The text aims to show the use of Markov chains for modelling the Covid-19 pandemic. After a brief general introduction, a simulation of the phenomenon is presented, starting from some transition hypotheses and using a spreadsheet for the calculations.

KEYWORDS

Covid-19, Markov chains, Model, Spreadsheet.