Introducing the MB09 algorithm and an attempt at demonstrating Fermat’s Last Theorem

First, we will start with some considerations regarding the algorithm and reintroduce Fermat’s Last Theorem. The first time I presented MB09, it was as an encryption algorithm, but effectively it is much more of a protocol for digital payments. As I have already mentioned, while blockchain and cryptocurrency were not yet well known, I developed MB09 as an encryption/decryption algorithm to exchange a message between two actors. Many years later, I worked on the algorithm, taking it as the basis for a fully homomorphic encryption system and creating MB23, which was a fully homomorphic algorithm. Eventually, in 2020, it was turned into a new version, called MBXX, to overcome the consensus problem proposed by Satoshi Nakamoto and its related technology: the Bitcoin blockchain.

Let’s examine how the first version of the MB09 algorithm worked:

1. To do that, we’ll...