Reddit » Number Theory

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The Number Theory Subreddit is for new, groundbreaking solutions to simple number theory problems like Collatz, division by 0, and P=NP! You can also talk about Gematria and Sacred Geometry here. Discuss quadratic polynomials, proof for Goldbach conjecture, Riemann Hypothesis, and abstract math theory.

Reddit » Number Theory

9h ago

https://preview.redd.it/g6qp1n8kovkc1.png?width=1369&format=png&auto=webp&s=31229dea86a248b247ba8c3e1b13ad44e3cc0d2f
I am being serious :)
if I give you two formulas which describe all predecessors in the Collatz conjecture
would that be a good achievement, or something minor? I need evaluation
each formula has 2 variables, fix one and vary the other to get ANY predecessor
interested? ?
the approach is simple and straight forward, even an math amateur like me can follow this
it also works on the Negative Collatz (3odd-1) system
and works on 5 odd+1 system
(both included in the ..read more

Reddit » Number Theory

9h ago

Hi everyone, this is MOURAD OSMANI an independent researcher, recently I posted my finding about the Collatz conjecture, in which I prove it is in fact “True”. I'm using the inverse function which I called g. Basically g tells you to do two things: Multiply n by 2 if n is odd or even, and subtract 1 and divide by 3 if n is even, namely: g(n)= n×2 if n is odd/even, (n-1)/3 if n is even such that $g:\mathbb{N} \to \mathbb{N}$ Notably not all even numbers will output an odd n for (n-1)/3, but when it does then a new sequence
$\left\{ n’\cdot 2^x \right\}^\infty_{x=0}$
can be obtained after
$\lef ..read more

Reddit » Number Theory

1w ago

Hey, guys, you can remember my claims about proving the Riemann hypothesis to be wrong. Actually, to be sure of this I did some numerical analysis. I shall leave the link to the presentation with the main idea of mine. Thing is I try to find the numerical counter-example. The idea is simple: if outside of the critical line nothing interesting happens, then 1/\eta(s) is holomorphic in the "right half" of the critical strip and any loop integral of this function should be zero for the loop inside of this domain. But it is not what we observe. Can anyone suggest me a method of finding the actual ..read more

Reddit » Number Theory

2w ago

Non-math PhD (ABD) here. After listening to Radiolab’s recent podcast on zero, I’m wondering what mathematicians think about natural numbers having more than one meaning based on dimensions present in the number’s world. If this is a thing, what is the term for it. I’d like to learn more.
submitted by /u/TwetensTweet
[visit reddit] [comments ..read more

Reddit » Number Theory

3w ago

The Collatz Conjecture is a famous unsolved problem in mathematics, introduced by Lothar Collatz in 1937. It is also known as other named problems also. The conjecture asks whether repeating two simple arithmetic operations will eventually transform every positive integer into 1.
Here’s how it works:
If the previous term is even, the next term is one half of the previous term.
If the previous term is odd, the next term is 3 times the previous term plus 1.
The Collatz Conjecture states that these sequences always reach 1, no matter which positive integer is chosen to start the sequence.
Exam ..read more

Reddit » Number Theory

3w ago

We know that as numbers get larger, the density of primes decreases, and the overall frequency of primes diminishes, as the sequence grows. We also know that there infinitely many twin primes. Consider the sequence growing indefinitely, which is to say, without bound.
Since there are an infinite number of twin primes while the overall frequency of primes decreases, then at what point in the progression of the primes do we begin to see nothing but large gaps bound by pairs of twin primes? Wouldn't that be inevitable given the known criteria? How can the average gap between consecutive primes i ..read more

Reddit » Number Theory

3w ago

So I won't be using crazy mathematical terminology as I don't have that level of education but bear with me I'll try to make it as simple as possible.
There was that one Mexican dude and the Russian guy they had the postulate n < p < 2n which made me realize that if you double any prime number, you SHOULD be able to make up all of the even numbers up to that number, only using the primes up to p (example, 7: 14 = 7+7, 12 = 5+7, 10 = 5+5 and so on) 14 is double 7, and you never use any prime higher than 7 to make up the even numbers. It checks out.
However, this didn't check out when I d ..read more

Reddit » Number Theory

3w ago

I believe I have come up with a new theorem about prime numbers, but I would like help determining which resources would be helpful in determining the truth of the theorem.
Start with a prime number p and ordered set B such that b(i)∈{-1,1}. With these, define the recursive formula a(0)=p, a(n)=2*a(n-1)+b(n). The theorem is thus twofold.
For any given natural number N, it is possible to find p and P such that a(k) is prime for all 0≤k≤N.
It is not possible to have p and B such that all a(k) are prime.
Consider the term a(k) mod 3. If it is not prime, we are done. If it is prime, it must n ..read more

Reddit » Number Theory

1M ago

It seems that some people have issues trying to understand u/peaceofhumblepi’s proof on Goldbach’s conjecture. It got a lot of engagement so I suppose people might be interested in how the proof works. I believe I understand it (I wrote code, drew up graphs etc) and I’ve formalised it a little bit (I tried to make it as accessible to both mathematicians and those without formal math training). This was in response to a comment I made, but I feel a new thread would help raise visibility (also made a graph for the post).
I took some time to understand your proof and it seems that I misunder ..read more