Showing posts from August, 2018

Interesting exercises and identities in number theory

In this post I would like to present some interesting exercises in number theory, along with some curious formulas and identities for some number-theoretic functions.

Investigating the Fibonacci numbers modulo m

The Fibonacci sequence is, without doubt, one of the most popular sequences in mathematics and in popular culture, named after Italian mathematician Leonardo of Pisa (also known as Fibonacci, Leonardo Bonacci, Leonardo of Pisa, Leonardo Pisano Bigollo, or Leonardo Fibonacci), who first introduced the numbers in Western European with his book Liber Abaci, in 1202.