Number Theory: Prime Numbers, Factors, Counting Factors, D-Function (1/3)

[mathforphysics]

1 isn't a prime number because, if it was, then the fundamental theorem of arithmetic would be false. just throwin that out there.

[Entertainmentwf]

@mathforphysics yep... there are several reasons why it is not, that is true. That is one of them. Since this is a discussion of divisors, I considered it more valuable to discuss how 1 has only 1 divisor, and any p MUST have 2 divisors only, namely D = {1,p}. Since it gets the d-function rollings later in this video group! Thank you for mentioning that for others :)!

[mathforphysics]

@Entertainmentwf

great work on these videos btw.

[Entertainmentwf]

@mathforphysics Thank you! You too as well! Great videos!

[Triathletep]

Hey thanks for the video! If I am interested in number theory topics, are you able to recommend good books or text books about this subject to at least give me a place to start from?

Thanks!

[Entertainmentwf]

@Triathletep If you are interested in classical number theory I can recommend "Elementary Number Theory" by Underwood Dudley. It covers a lot of topics and doesn't lose shine on the formalism. It covers most of the popular topics.

[Triathletep]

@Entertainmentwf thanks!

[Entertainmentwf]

@Triathletep Anytime :)!

[Tupacbldz]

whats elementary number theory ?..

[Entertainmentwf]

@Tupacbldz Elementary Number Theory involves the use of basic axioms regarding numbers to prove or demonstrate results. Other common types of Number Theory include Analytic Number Theory, Algebraic Number Theory, Combinatorial Number Theory, Computational Number Theory (Algorithmic Number Theory), and a few others.

[gentletosh7]

3*8 != 18

[Entertainmentwf]

@gentletosh7 Slip ups naturally happen in arithmetic here and there. The important thing is to take the mathematics and not the numbers since in number theory, the patterns are what matter since one could simply change the symbols. I had this pointed out to me before but, thank you for pointing it out again.

[onixz100]

Of course, left handed, just like most mathematicians.

[Entertainmentwf]

@onixz100 LOL. I know it's awkward as heck. XD.

[johnlzy]

thanks for this vid.

[Entertainmentwf]

@johnlzy anytime :D! Much appreciated for another viewer :).

[xhackeranywhere]

PLEASE continue !

Like the way you explain the stuff in so simple way, just continue the good job man, was really nice to find this video, after hours of searching and only finding boring\complicated text stuff.

[Entertainmentwf]

@xhackeranywhere Definitely :). I agree, there are more than too many boring videos out there on this stuff! I appreciate your thanks :).

[xhackeranywhere]

@Entertainmentwf Thanks for your reply & please if you can continue and post more videos like this on the number theory & related math stuff :)

[Entertainmentwf]

@xhackeranywhere I will :). I will be focusing more on discrete maths like number theory, combinatorics, graph theory, and also some computer science related topics (i.e. algorithms, analysis tools and so on)!

[xhackeranywhere]

@Entertainmentwf Great :) will be waiting for those vids :D