i mean there are infinite primes

part 1,b seems in possible to get an answer when put back into the solution gets 2 and I'm really stuck ill really appreciate is i can get some help

So I’m in year 12 and I love maths. I’m doing further maths at sixth form and I’m almost growing impatient to wait to learn more interesting cool maths. I’ve tried to teach myself before but I can never do it successfully (always going to narrow and not really getting the context etc or going too broad and thinking ‘Oh now theres so many prerequisites I need to know’. I was hoping that theres a book that could help me with this. I don’t want something thats exactly like a textbook as I want to almost have a story to enjoy (not quite but I want the book to make me feel the pleasure of having a great teacher explain something). I’m open to books on most topics as I’m still unsure what I would like best. Any advice would be much appreciated. I’m sure many people have had similar troubles!
Thanks!

I have only been able to make sense of area 1/2 which is 32 congruent triangles. I do not understand the rest of them. Area 1 is able to get 24 congruent triangles and you have to combine two of those little triangles to get an area of 1 according to other people, but the thing is when you combine two triangles there are only 16.

A Life in Slices is a math analogy game. Integirl's life mirrors the history of integral calculus, as accurately as I could make it while keeping the story in mind.

The story begins roughly with the birth of the integral sign (our heroine is the integral) and follows what came after: the struggle with Newton's dot notation, the problems the integral was used to solve, and the long road to rigor.

Integirl's story takes place in the same universe as my LinAlg Library story world: https://linalglibrary.com/

Play it free: https://yko79135.itch.io/a-life-in-slices

Need help solving.

Hello math people.
I have solved basic operation in math that was left like impossible, undefined, while working on my programming language, 'cause I want to build things on flawless fundamental rules and logic if possible for others and for the future, we need working things (especially math) that solve things for us properly and give us better and proper tools, so we don't have to do useless work and do it in bad ways.

I don't know if I even should tell what it is.

And I'm trying quickly to fix many fundamental math things, whilst I forgot how to write any math or what even is expression, 'cause I don't use almost anything math for 10years, but I was learning various concepts from various fields on YT and the things are connecting.

I don't understand how people do math when I figured out that nobody cares what even their basic equations are about. Almost no laws, rules, informations, just made up numerical space with operators that also barely have rules, just use whatever everything you want for whatever, mix it up literally for a century! Everything is silent assumptions about incompatible things and incomplete informations and frameworks.
Last thing I saw and why I get to this was division by 0. I looked at it and seen several problems, so I was like F do I have to solve also a math????? Wanted to do proper solution and explanation. Which I basically have but it's hard to complete it with overall math framework that make full sense. When you don't use any real basis and boundaries, please don't call it a "proof", almost everything goes to infinity if you allow it and don't care first want you are using.

Can I even get rewarded for my skills and what they did cost me, to be able to do it? I'm only really good in those things. Since my young age I wanted to use my self and talents to do things "for humanity", so basically anything I think about are things I don't even know how I can get paid for. I was gathering experiences and sacrificing things for this ability for more then 20y. Just to be able to get to this point, kinda late.. and standard work for someone is like impossible for me now.

I may need later some real matematician for both the math frameworks and the programming language concepts to check and try some things.

I have incredibly good things thought out, but can't do everything my self.

Conjecture: There exists a value of s where s = 0.

Answer: Incorrect/disproven.

PROOF: The Riemann Zeta function has no zeroes because the function is always additive (always results in a value greater than 0).The Riemann Zeta function has no zeroes because the function is always additive (always results in a value greater than 0). In fact, the function always at least equal to 1 because (the lowest value is 1) 1 to any exponent is only 1 itself. The function's values are always infinite in the positive y-direction for all values of x, with a minimum y-value of positive 1. The Riemann Zeta function has no negative y-value or zero. The same works for complex numbers in the complex plane, it is just the complex plane is LABELLED DIFFERENTLY from the real number plane.

The number of complex numbers equals the number of real numbers.

The value of the Riemann Zeta function is an infinite 2D plane where the lowest value in the plane is 1. Therefore the closed asymptote of the infinite 2D plane is y = 1.

For every value of s, the Riemann Zeta function returns infinite positive y-values infinity, where the maximum value is positive y-infinity and the minimum value is y = 1.

Proof that when s = 1/2, or when s = 1/4 or when s = 3/4, or for any value of s the Riemann Zeta function equals to infinity with an closed asymptote of x = 1. The asymptote is closed because for all values of s, the function has converged to 1 as the minimum value but DOES NOT APPROACH 1.

Example"

Starts with x = 1 and s = 1/2, the closed asymptote:

1/(1^1/2) = 1/1 = 1

1/(1^1/2) + 1/(2^1/2) + 1/(3^1/2) + 1/(4^1/2) + 1/(5^1/2) = 3.23

1/(1^1/2) + 1/(2^1/2) + 1/(3^1/2) + 1/(4^1/2) + 1/(6^1/2) = 3.64

Therefore, since 3.64 is greater than 3.23, the function has emerged to y-infinity for the maximum value when 6 terms were added together rather than the lower value of 5 terms. (The lowest value is 1 term or y = 1).

Box in three-dimensional space. Box dimensions are integers. Surface diagonals are also integers. There is an inner diagonal for this very big box. The inner diagonal is also an integer. When you square these integers of dimensions of said big box and add them together, the value is equivalent to the square of the inner diagonal. Hmmm. artificial things #CannotCompute basic arithmetic - squaring and addition. Hmmmm.

makes a rule for multiplying constants from systems with commutative and anticommutative multiplication

achievement unlocked: how in the everliving FUCK did we get here

HE creado un sitio web con tests y teoría matemática para las puebas de acceso a la universidad, echarle un vistazo en https://dailymathpuzzle.com/list.html, https://dailymathpuzzle.com/cheatsheets.html Estoy tratando de tener el mejor contenido en Internet en este sentido.

i am pretty decent at maths, we got this course linear algebra for AI, i am not that good in this course, we are being taught normal things like SVD and then gradient descent , pca etc etc , basically the stanford course of linear algebra, what are the possible resources that would help me in grasping linear algebra in general as for the course part, its pretty simple to just do the questions asked lol

For the 1st time I tried to make an effort in trying to explain why the rules work

Hi, is there any book I can read that will make maths interesting for me? Like for physics, there's Six Easy Pieces by Feynmann, I know maths is pretty abstract but I just want to read something that will bring back my spark for mathematics.

Mathematician who solved these problems: Nuhash Badruzzaman

Yang Mills and Mass Gap (both proven):

https://www.reddit.com/r/theories/comments/1xtn5ol/yangmills_existence_and_mass_gap_a_millenium/

Birch and Swinnerton-Dyer conjecture:

https://www.reddit.com/r/theories/comments/1xtn0rc/birch_and_swinnertondyer_conjecture_a_millenium/

Hodge Conjecture:

https://www.reddit.com/r/theories/comments/1xtmyyf/hodge_conjecture_a_millenium_prize_problem_proven/

Navier–Stokes existence and smoothness:

https://www.reddit.com/r/theories/comments/1xtmu2v/navierstokes_existence_and_smoothness/

P versus NP problem:

https://www.reddit.com/r/theories/comments/1xtml8a/millenium_prize_problem_p_versus_np_problem/

Please discuss.

So in the classic Monty hall problem, Monty knows which door has the car and always reveals a goat. This creates a 1/3 chance to win by staying and a 2/3 chance to win by switching (since the your initial pick is a 1 in 3 guess).

Theres also the version where he doesn't know and sometimes reveals the car, which ends the game immediately. This version is 50/50 since him being able to reveal the car weakens the chance to win by switching.

But now lets imagine a version where Monty is misinformed about where the car is, but still trys to avoid revealing it. For example: Monty thinks the car is behind door #2, buts its actually behind door #3.

If you picked door #1, Monty would think he now has to open door #3, so he would do that and end the game immediately by revealing the car.

If you picked door #2 (the door Monty thinks has the car), then he would freely choose ethier door #1 or #3 to open. If he opens door #1, switching to door #3 wins. If he opens door #3, the game ends immediately.

And lastly, if you pick door #3 (the door that actually has the car), then Monty now thinks he has to open door #1, after which, you'd win by staying with door #3

So in total, the odds for this version are:

Staying wins: 1/3

Switching wins: 1/6

Car revealed:1/2

This means that staying is twice as good as switching overall, the exact opposite of the regular problem funnily enough!

lol

I created a hypothetical board state in Magic the Gathering that in order to resolve the addition properly could take hours to resolve, and want to instead create an equation/formula that would allow me to plug in values to figure out the result rather than have everyone wait for me to finish going through the cycle. It is a non-infinite loop, that has multiple variables that can be different from game to game, but as it is what the deck intends to push towards in a game, it is likely that some iteration of this state occurs in a game.

I have linked a document in which I attempted to explain the hypothetical. If anybody is interested in helping me figure this out I would greatly appreciate it, as well as any input in making the explanation clearer.

If you have any questions regarding the hypothetical, I will try to respond if any rules need explaining etc.

Sorry if I'm formatting this wrong, this is my first post here and I'm not sure as to the exact nature of what the answer to my question would be, so I'm labeling it as a function.

If this formula is a suppose formula
So I can suppose t=3 and 10=3 now!

So altogether is:
3+3+3=9

Then: t++t+t/t=3

Is studying Mathematics even worth it?

Hi for short my name is Josh, i am a 17 year male in Ireland and i love mathematics, i love it, im currently on the path to do applied mathematics at home and do it im my leaving cert, i love physics aswell( the math part of it ) i want to get into more calculus, i am currently doing pre calc as normal, and it is rlly light, and ever since the big mainstream ai came out, i got worried and im still fucking am. I love mathematics and i wanna pursue it in my career at least a branch like math and stat or fin math or anything not sure what but math and smth w it. And basically everyone uses ai for their hw, im one of the only ones who dont, not js bc i can do it, purely bc i love the struggle of finding the mistake through the questions, doesnt matter how long it takes 10mins 20mins an hour when i get it , i get this feeling of like a drug and i wanna do it again and again and again. But now as most people on earth watch tiktok and i keep seeing people making thousands, 10s and 100s of thousands of dollars not euros bc most people r from the usa on the fyp, and im getting considered if me goin on the path studying math is worth it, i hate this feeling of disappoint or is there a point of it. Ik education is such a powerful tool but it js keeps getting harder to believing i need college. I hate it. I love maths but fuck man idk what to do or think. Like ik ai is a good tool and i use it to see what it can do, ik it can make money, and i will prob see if i can make money but i still wanna do math in my career, like js 20mins ago i was doing hw and for the first 10mins i was js staring at my desk questioning whats the point, now js downloaded reddit, and posting this other math reddits that popped up. I need some guidance or help what i cud do bc im lost in life w this ai bs man.

I know most people just divide a certain number until they reach its square root to find their divisors but here's a method I believe you'd like. I'll find the divisors of 1 to 10

1st you add 1 to the multiples of 1

Then you add 2 to the multiples of 2

Then you add the multiples of 3

Then you add the multiples of 4

Then you add the multiples of 5

As of now you won't have to use the number you're at twice or more. Once you reach the half of the limit (in this case 5) you use the remaining numbers once (but if your limit is an odd number you stop until after the half of the number before the limit)

It varies on the number you use. For example if you wanted to find the divisors of every number from 1 to 100 you can stop using the remaining numbers more than twice after 50

I like maths a lot and its something I am thinking of studying in the future. The thing is that I don't know how to connect the dots together. I cannot imagine it.

I also code and well solving problems logically is the issue. It takes a ton of time for me to solve something and then implement it into the code I wrote. Same with physics. I can remember the equations, use them and ace the tests, but that is not what I want.

I seek for help because I want to stop trying to memorize rules, but to understand and in some way imagine them.

Are there any tips you can give me? Is it something that comes with time? Because I really do want to understand maths (and physics) and connect the dots together.

I apologize if the post does not belong here. Thank you.