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Math is fun! Post anything math-related, fun proofs, jokes, youtube vids and the likes

I will start by proving that there can't be one biggest prime number[1]. It's a pretty simple and fun proof

Let's assume that there*is* a biggest prime number. Now, if this assumption leads us to a contradiction, then it means that *the assumption itself is impossible*, in other words, that there can't be a biggest prime number

So, assuming there is a biggest prime number, it means that prime numbers are finite (They are at most as many as the biggest prime number)

Now, if we take ALL the prime numbers and multiply them together, we get a number which is divisible by them all.

So now, let's add 1 to it. The result is not divisible by any prime number [2] so it's prime, and is also clearly bigger than the "biggest" number we had before. Contradiction!

[1] A prime number is a natural number that is only divisible by itself and one (except 1 itself, which is usually not considered prime). So, 2 is prime, 17 is prime, 15 isn't (it's divisible by 3 and 5)

[2] if A is divisible by B, then A+1 isn't (except for B=1, but that's not our case because 1 isn't prime)

Here's something more complicated but better shown and explained: https://www.youtube.com/watch?v=wO61D9x6lNY

Tune in next time for a (broken) proof that 1 + 1 doesn't = 2. You'll be able to check your skills to see if you can find the error!

I will start by proving that there can't be one biggest prime number[1]. It's a pretty simple and fun proof

Let's assume that there

So, assuming there is a biggest prime number, it means that prime numbers are finite (They are at most as many as the biggest prime number)

Now, if we take ALL the prime numbers and multiply them together, we get a number which is divisible by them all.

So now, let's add 1 to it. The result is not divisible by any prime number [2] so it's prime, and is also clearly bigger than the "biggest" number we had before. Contradiction!

[1] A prime number is a natural number that is only divisible by itself and one (except 1 itself, which is usually not considered prime). So, 2 is prime, 17 is prime, 15 isn't (it's divisible by 3 and 5)

[2] if A is divisible by B, then A+1 isn't (except for B=1, but that's not our case because 1 isn't prime)

Here's something more complicated but better shown and explained: https://www.youtube.com/watch?v=wO61D9x6lNY

Tune in next time for a (broken) proof that 1 + 1 doesn't = 2. You'll be able to check your skills to see if you can find the error!

does 2+2=4

**You rolled the number 152848094 (no dubs or higher)**

>>10824

No, 2+2=0

Let me prove:

So, let's have two variables, a and b, so that a=b=2

it must be that a^2 = b^2 (by "^2" I mean squared)

then a^2 - b^2 = 0

so (a+b)(a-b) = 0

(a+b) = 0 / (a-b) = 0

because 0 divided by any number equals 0

(a+b) = 0

Remember how we said that a=b=2?

2+2=0

Learn your basic maths kiddo

No, 2+2=0

Let me prove:

So, let's have two variables, a and b, so that a=b=2

it must be that a^2 = b^2 (by "^2" I mean squared)

then a^2 - b^2 = 0

so (a+b)(a-b) = 0

(a+b) = 0 / (a-b) = 0

because 0 divided by any number equals 0

(a+b) = 0

Remember how we said that a=b=2?

2+2=0

Learn your basic maths kiddo

my brain hurts

>>10839

alright alright. I'll tell what's wrong. Spoiled so people can try figuring it out themselves

[spoiler]In this step:

>(a+b) = 0 / (a-b) = 0

We divided by 0. You can't do that

[/spoiler]

I mean I get it it's probably awful reading text math. Probably should've posted pics instead. oh well

alright alright. I'll tell what's wrong. Spoiled so people can try figuring it out themselves

[spoiler]In this step:

>(a+b) = 0 / (a-b) = 0

We divided by 0. You can't do that

[/spoiler]

I mean I get it it's probably awful reading text math. Probably should've posted pics instead. oh well

>>10843

dammit, I knew it had something to do with that step.

dammit, I knew it had something to do with that step.

File: Divided_by_Zero_manhole.jpg (55.96 KB, 473x364, 473:364, 1621085242805.jpg) [Show in Hex Viewer] [Reverse Image search]

>>10843

Speak for yourself. In America, we divide by whatever we want.

Speak for yourself. In America, we divide by whatever we want.

>>10853

Shut up tailsteak

Shut up tailsteak

I've written a python program which seems to be able to calculate the golden ratio to arbitrary precision

from decimal import *

# golden ratio calculation

def golden(digits): # digits is the number of digits desired

getcontext().prec = digits

epsilon = Decimal("1e-%d" % digits)

a = Decimal(0)

b = Decimal(1)

prevrat = Decimal(-1)

while abs(a/b - prevrat) > epsilon:

prevrat = a/b

c = a + b

a = b

b = c

return b/a

In like about minute it computed correctly 10000 digits on my laptop

It's probably a pretty inefficient technique, but I had fun writing it

from decimal import *

# golden ratio calculation

def golden(digits): # digits is the number of digits desired

getcontext().prec = digits

epsilon = Decimal("1e-%d" % digits)

a = Decimal(0)

b = Decimal(1)

prevrat = Decimal(-1)

while abs(a/b - prevrat) > epsilon:

prevrat = a/b

c = a + b

a = b

b = c

return b/a

In like about minute it computed correctly 10000 digits on my laptop

It's probably a pretty inefficient technique, but I had fun writing it

>>11066

Forgot to say. I checked the correctness here: https://nerdparadise.com/math/reference/phi10000

All the digits matched

Forgot to say. I checked the correctness here: https://nerdparadise.com/math/reference/phi10000

All the digits matched

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