# What specifically should I include to my self study notes?

I am a high school student who will be entering college in one and a half year (It is so long though).

For me, Mathematics primarily means Number Theory. My interest in Number Theory always motivates me to go and take a look at those wiki articles which are not really discussed in classic or even modern books.

For instance, while studying about prime numbers, I found many things not specifically discussed in books. Some of them are Legendre conjecture, Prime gaps, Mills constant etc. I am confused whether I should keep studying these things which authors don't dare to discuss or follow the patterns of books instead.

For your kind information, I would mention that I frequently use NZM along with G. H. Hardy's Introduction to Number Theory sometimes. For problems, I often do UC Berkeley's online assignments.

• Sorry, what is "NZM"? And by "Hardy's..." you mean "Hardy and Wright"? – paul garrett May 22 '17 at 23:33
• @paulgarrett NZM is for Niven Zukerman and Montgomery while Hardy's mean Hardy and wright. – Vidyanshu Mishra May 23 '17 at 6:28