I’m sorry…

I forgot what I was going to write about! I’m SO SORRY! So instead, I will just do one I randomly pick.

79.7348327346834637534635243789238328324735495349027328526306538054360567057 second later…

I got it! I will be writing about my future BOOK!

My book will be called (I DON’T KNOW, OKAY?!?!) and it will be about math, obviously. It will probably review on the thing I wrote about, and possibly things I didn’t. It will be GREAT!

Hope to publish it!

P.S. It’s got great puzzles.

Which is closer to 16: 32 or 17?

In a +1 way, it’s 17.

But in a PRIME FACTOR way, it’s 32.

Why? And which is it?

  • Kindergarten kids: 17
  • Primary: 17
  • Middle School: 17
  • High school: 17
  • College: probably both, but more likely 17
  • University: 15? 17? 32? WHAT?!?!?!?!
  • Real-life mathematicians who only care about supernaturals: 32

(screech sound)

What on Earth is a SuPeRnAtUrAl?!?!?!?!?!?!?!?!

If you watch Vi Hart’s video “How many types of infinity are there?” at 9:04, it says “supernatural” numbers. You know indices, x to the power of y? if y is infinity, for any real x bigger than 1 will be infinite. The +1 definition sees 2*2*2*2*2*2*2*2*2*2*2*2*2*2*2*2*2*2*2*2*2*2*… the same as 7*7*7*7*7*7*7*7*7*7*7*7*7*7*7*7*7*7*7*7*7*7*…, but in the supernaturals, the 7*7*7*7*7*7*7*7*7*7*… is bigger, because they are multiplied the same infinite amount, and every time, 2<7, 4<49, etc.

So in the supernatural way, the number 16 is closer to 32 than 17 because 16 and 32 are just times 2 away, while 17 is… well, does not have a common factor at all.

That’s good!

Q.E.D.

Oh no… imstkaes!

Sorry, but you do know that I am a human, and therefore makes misatkes. But they do help us learn, and I has learned from mi miskates. Here we go!

  • In the Happy 3.141592653589793238462643385279… Day! post, I got the digits in the title wrong. The bold numbers say that it’s 5279 in the last few digits that I wrote, but it’s actually 3279.
  • In the Zero Is? I say “Wait. Who said it was PRIME?” but I actually meant “Wait. Who said it WASN’T prime?” Sorry!
  • The Tangram is not a toy. Sorry, 5-year-old kiddies!
  • In the blog about feeding people 0 pizzas, I stated that

So 5/0 = um, 0+0+0+0+0+0+0+0+0+0+0+0+0+0+0+0+0+0+0+0+0+0+0+0+0+0+0+0+0+0+0+0+0+0+0+0+0+0+0+0+0+0+0+0+0+0+0+0+0+0+0+0+0+0+0+0+0+0+0+0+0+0+0+0+0+0+0+0+0+0+0+0+0+0+0+0+0+0+0+0+0+0+0+0+0+0+0+0+0+0+0+0+0+0+0+0+0+0+0+0+0+0+0+0+0+0+0+0+0+0+0+0+0+0+0+0+0+0+0+0+0+0+0+0+0 = STILL ZERO!!!!! SO 5 could not be reached.

ME!!!!!

then 5/1 = 1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1= um, 42. So no, the text above (So 5/0 = um,) is incorrect.

  • I stated in Maths, but simpler that Topology: stretching, bending and squeezing solids to make them into different things, but 2D shapes are allowed.

I cna’t go on aymorne. I wlil sotp and fsniih tihs bolg.

Bye!

Zero is?

Zero, right?

But it’s complicated again! Is it prime or composite?

I was having a look-around on Math Stack Exchange Is zero a prime number? and it was absolutely confusing. Give it a read!

It’s not prime, so it should b —

(Screech sound)

Wait. Who said it was PRIME? Not me. Let’s prove it!

If zero was prime, then it has no divisors. Let’s see, it has divisors of 0, 1, 2 (2*0=0), 3, 4, 5, 6, 7, 8, 9, 10, blah blah blah, so it’s not prime!

So it’s … composite?

Maybe? I mean we just proved it’s not prime, so it should be composite, right?

There’s a program on Khan Academy called Level 10: Fermat Primality Test and it says composite!

Q.E.D.

P.S. Comment below on what you think 0 is.

One is?

One!

Anybody

I mean, yeah. But in a prime/composite definition? It’s neither, the one exception, the golden, whatever.

Why is it not prime? Let’s have a look.

Take 25321, a prime number. 1 is also prime, right? So the factorization of 25321 would be 25321 and 25321*1 at the same time. But we have broken two golden rules:

  1. Every number, even prime numbers, have exactly one prime factorization
  2. A number cannot be both prime and composite at the same time.

Also, a proof that came in my head while writing:

You know Euclid’s Theorem that states ‘there is no prime because of this, that and stuff’? Full Proof:

Say the list of primes were finite, like 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, and that’s it. Multiply them all together, add one, it’s 6469693231 (2*3*5*7*11*13*17*19*23*29+1). Since this number is bigger than the “last” prime, it must be composite (some cases are when it actually is prime). But if you divide it by any “Prime” number, it will result in a remainder 1. So there must be some other “prime” out there that is prime.

Curtains, lights, action!

Say that one was prime, then Euclid’s Theorem to primes to 30 multiplication would still be 6469693231. But since 1 can divide 6469693231 evenly, and one is “prime”, Euclid’s Theorem has this weird exception, and that contradicts the fact that there are infinitely many primes.

1 isn’t composite either, since it doesn’t have any prime numbers that can divide it evenly.

So there you have it.

1 is not prime. So it’s not composite! Yay!

Q.E.D.

Happy 3.141592653589793238462643385279… day!

It’s πi day today!

(not to be confused with π times i, in which it would be, like, an imaginary day.)

Sorry I wrote this so late. I didn’t realize it was 3.141592653589793238462643383279502884197169399375105820974944592307816406286208998628034825342117067982148086513282306647093844609550582231725359408128481117450284102701938521105559644622948954930381964428810975665933446128475648233786783165271201909145648566923460348610454326648213393607260249141273724587006606315588174881520920962829254091715364367892590360011330530548820466521384146951941511609433057270365759591953092186117381932611793105118548074462379962749567351885752724891227938183011949129833673362440656643086021394946395224737190702179860943702770539217176293176752384674818467669405132000568127145263560827785771342757789609173637178721468440… day, so forgive me, will you?

Will you forgive me for …

Remus Lupin, Harry Potter and the Prisoner of Azkaban

But this post is wrong (see Dear Archimedes,), and I will make a post on June 28 aka Tau Day!

Farewell, my friends (excluding the pi-fans)!

Gwang Ho Kim, the author (or Wanttolearncalculus)