The Math Thread

[Vurn]

doesn't exactly explode, it kinda just leaks out everywhere like an overturned bottle of syrup

Flippin' math, man
O_o"

[dVanDaHorns]

It's good to know I was right, but I wasted my mind processing power XD

At least you didn't waste 3 hours of comuter processing power on top of 3 hours of mental processing power proving that your initial hypothesis was wrong.

And dat math. It beautiful!

[borys610]

Ultimate exercise:
Prove, that every prime number multiplied by one, is indivisible by six.
Your prove must consist of at least five A4 pages.

[Vortex]

doesn't exactly explode, it kinda just leaks out everywhere like an overturned bottle of syrup

Flippin' math, man
O_o"

It's good to know I was right, but I wasted my mind processing power XD

At least you didn't waste 3 hours of comuter processing power on top of 3 hours of mental processing power proving that your initial hypothesis was wrong.

And dat math. It beautiful!

Lol, well, you got to the same result without using advanced math theorems, so I think your proof has more merit

Ultimate exercise:
Prove, that every prime number multiplied by one, is indivisible by six.
Your prove must consist of at least five A4 pages.

Proof:

Page 1: every prime number is by definition indivisible by any number other than itself and 1. And a number multiplied by 1 is the same number, by definition of 1, the product identity. QED.
Page 2: hi
Page 3: my
Page 4: name
Page 5: is

...dammit I ran out of A4s. it truly is the ultimate exercise XD

[dVanDaHorns]

Ultimate exercise:
Prove, that every prime number multiplied by one, is indivisible by six.
Your prove must consist of at least five A4 pages.

To quote 50 Things to do During an Exam When you Know You're Going to Fail:

"3.If it is a math/science exam, answer in essay form. If it is long answer/essay form, answer with numbers and symbols. Be creative. Use the integral symbol.
...
35.If the exam is math/science related, make up the longest proofs you could possibly think of. Get pi and imaginary numbers into most equations."

Lol, well, you got to the same result without using advanced math theorems, so I think your proof has more merit

At the cost of studying for my biochemistry final, yes. xD

[Oleander]

Thanks guys, that's really cool! I did not know about Dirichlet Convolution before.

[Vortex]

glad to be of help

[Oleander]

I gave myself this problem and I'm wondering if I solved it correctly. Is it true that the area of the largest equilateral triangle that can be transcribed in the unit circle is equal to √(3)/4?

[Vortex]

That is true for an equilateral triangle of side 1, but a triangle inscribed in a circle hasn't side 1, you have to find the relation between both triangles.

The solution is:
(spoiler)
3*√(3)/4
(end spoiler)

[Oleander]

Where does the factor of 3 come in?