I am a freshman in High school, however I've been working quite a lot in the field of number theory for quite some time. However, I've been beginning to feel slightly bad that I haven't actually proven anything. It's not like I want to make a brand new theorem, no; but I would like to start to prove statements. However, all the questions I've come up with have been out of my reach of understanding. So, any mathematical statements to prove at an intermediate level for practice? Dump them here. I'm sure everyone will be entertained by them, and I sure hope I will be, too.