Modern Computers and Classical Number Theory

I am a great enthusiast of exploring the possible applications of modern computers to mathematical study, teaching and research.  In this page you can see some computer applications to various classic objects in number theory (a few new observations that arose in the process and an illustration and discussion of some classical results, as well). 
Modern computers can be used to shed new light on various classical questions and objects. 
​For instance - our new research: 


​​ ​1.The monotonicity property of zeta
2. Fermat curves modulo a finite number