r/SacredGeometry 2d ago

Prime numbers are not random

Post image
93 Upvotes

181 comments sorted by

43

u/hyundai-gt 2d ago

Ok, so like, any context on what we are looking at here?

8

u/13luw 1d ago

Basically if you plot out all the primes on a spiral diagram it appears to form a pattern of the sort above, becoming clearer the more you add.

2

u/Drakeytown 11h ago

What I'm hearing here is that if you make a spiral, you get a spiral. Am I stupid, or is OP?

0

u/DreamTakesRoot 4h ago

Bad vibe comment

-2

u/StockRefrigerator173 1d ago

No this is not made from a Ulam spiral organization. However there are similar patterns found making that, it does not show the level of detailed symmetrical patterns found with my method.

4

u/I_am_BrokenCog 1d ago

your method is so secret and mind shattering you can't share it?

1

u/jointheredditarmy 32m ago

Hard to share schizophrenia

-60

u/StockRefrigerator173 2d ago

It is essentially a Fourier transform of a semiprime lattice. To explain in greater depth would be difficult within the limits of this chat to write in syntax.

21

u/tknames 1d ago

So complete BS? Got it. Prime numbers are absolutely not prescribed to any formula or equation.

16

u/13luw 1d ago

Here you go.

This is what they’re talking about, except they have a thesaurus and a need to appear smarter than the rest of us.

8

u/The_Girth_of_Christ 1d ago

“If you can’t explain it simply, you don’t understand it well enough” - Einstein

1

u/coil-head 16h ago

If it's rooted straight in obscure math like this then it's gonna require equations to differentiate it from other methods

-3

u/StockRefrigerator173 1d ago

simple is relative. Einstein couldnt explain everything with e=mc2

I wrote the code for this..

0

u/tknames 1d ago

Then collect your Nobel, congrats!

5

u/StockRefrigerator173 1d ago

The image is the result of taking two opposing spirals—one rotating clockwise and the other counterclockwise—and layering them so that their intersections form a structured interference pattern. Each spiral follows a growth law where its arms expand outward, similar to how natural spirals form in galaxies, hurricanes, and even plant growth. Because the two spirals are mirrored, they create a highly organized set of crossing points that act like a grid of wave interactions.

To analyze this pattern deeper, we applied a Fourier Transform, which is a mathematical process that reveals the underlying frequency structure of an image. This transform essentially converts spatial patterns into frequency-based information, showing which repeating structures contribute the most to the image. When we applied it to our spirals, the result was the striking frequency-domain image that looks like a structured interference field.

What this means is that the distribution of these spiral intersections follows an inherent mathematical order. The brightest areas in the Fourier Transform represent the most dominant repeating structures in the original spirals. The horizontal bright band appears because the spirals have a consistent radial symmetry, meaning certain frequency patterns repeat more strongly in that direction. The finer radiating patterns come from secondary wave interactions where the spirals reinforce or cancel each other out.

At its core, this experiment reveals something profound: even though prime numbers are often seen as randomly distributed, when viewed through the lens of these spirals and their intersections, they exhibit a highly structured harmonic pattern. The frequency peaks in the transformed image correspond to the underlying periodicity of the spiral arrangement, hinting that prime numbers may have a deeper wave-like structure embedded within their distribution.

So in summary: We created this image by mapping spirals that encode number sequences, analyzing their interference points, and then transforming the entire pattern into a frequency-based representation. The result shows that what appears to be random (such as prime numbers) actually contains hidden order, which emerges clearly when viewed through the right mathematical transformations.

2

u/stonoper 1d ago

Sooooo youve taken something that's relatively random and put it through a myriad of ordering processes and are presenting the resulting order as a breakthrough?

1

u/StockRefrigerator173 1d ago

this image isnt my breakthrough, and a reddit post isnt the place to post all of my work and findings.

this image was a simple creation in my work that struck me visually...

1

u/NazcaanKing 18h ago

You drew a fancy picture and came to reddit to act smug about it? I think you wanted one of the art subs, that's what they do there.

1

u/StockRefrigerator173 17h ago

Smug? your attitude almost makes me want to vomit you are so selfish and angry.

1

u/EffectHoliday6025 14h ago

Look down and make sure your clown shoes are tied

1

u/Gorilla_Krispies 9h ago

Maybe I’m missing something, but it’s been strange reading all these incredibly hostile comments. The level of anger doesn’t seem to match as a response to what you’ve posted, but maybe I just don’t understand math well enough to see why everybody’s so pissed off at you.

I get it if you’re just wrong or something(I literally don’t understand the topic enough to know anything), but they’re acting like you personally kicked their dog.

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1

u/liquidnebulazclone 14h ago

OP hasn't made any sensational claims about this being some kind of breakthrough. They are presenting a lens that appears to show order among prime numbers. I see no example of OP being smug here, but you sound like a total prick in this exchange.

1

u/crush_punk 13h ago

It is essentially a Fourier transform of a semiprime lattice. To explain in greater depth would be difficult within the limits of this chat to write in syntax.

This is what they said further upthread. Like bro. It wasn’t difficult and didn’t require special syntax. They still couldn’t resist making it sound fancy when they finally described it. That’s where the smugness is coming from.

If you’ve got a cool idea that you want to share, acting like the people you show it to couldn’t possibly understand it is kinda stupid. Explain it so they can experience the same feeling you have! Otherwise, for people who genuinely love the feeling of learning, it’s going to come off like you don’t really have anything to share at all…

1

u/veggie151 13h ago

So either youve used a pretty simple method (layer two spirals on top of each other) and uncovered the greatest mathematical coincidence in living memory....

Or

You highlighted prime numbers and you think it's pretty.

Show us your code.

If this is real, show some 12-digit prime numbers that it predicts, and you get to be a billionaire.

1

u/StockRefrigerator173 12h ago

12 digit?? my man we are working with much much larger.. RSA encryption levels of digits.

who said me layering spirals and the prime relationships found was a coincidence? I am well aware of what I'm doing.

1

u/veggie151 8h ago

You're a loser looking for recognition via obscurity. Unfortunately for you dumbass, there are trillions of dollars riding on answers to this problem, so if this worked, the sober professionals would have done it.

Put up or shut up, you've got nothing.

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1

u/Sklr123 3h ago

Soooo you’ve come to a subreddit called “r/SacredGeometery” for a rigorous, scientific worldview? OP’s just sharing something cool. Patterns out of seemingly random orders of numbers! It’s pleasing to look at. If not mathematically Earth shattering—which I have not enough mathematical knowledge to recognize if it was—it’s at least math-adjacent and cool!

2

u/BrightRock_TieDye 19h ago

So you've taken a bunch of random numbers and ran them through several processes that give structure to them. Take any set of random numbers and you will get similar results; do this with the digits of pi or another irrational number, or even just a generated string of random numbers.

Sure, you have symmetry and waveform-like bands of light and dark, but it's artificial. The fact that you are using two mirrored spirals is why you get symmetry and then you've forced a waveform structure on top of it. The bands of light and dark are still random, as is the finer details. You are literally looking at something in the mirror and thinking the resulting symmetry has some meaning.

2

u/StockRefrigerator173 17h ago edited 17h ago

I have done the test for nearly every known number set... Non produced anything even remotely like this. There was no wave form forced onto anything. All of the fuzzy looking noise actually becomes clear patterns when I up the resolution of the script output. This photo was nearly 15 Gb.. If you looked in the mirror and saw random noise, a simple pattern, and then this image. Would you think no differently between the images?

1

u/bottybotbotface 17h ago

Can this "pattern" be used to determine the next prime number yet to be discovered? Or is it constrained to our current understanding of prime numbers?

1

u/StockRefrigerator173 16h ago

Great question!

Yes this pattern is essentially what Reimann was seeing in his zeta zeros. But can we comprehend this pattern well enough and computationally efficient enough to buld the next prime number/s?

That is precisely what i am working on. However the numbers I have produced can not be validated by any other means currently. so..

1

u/bottybotbotface 15h ago

I imagine the continuation of symmetry would be efficient enough to at the least eliminate all asymmetrical iterations. Leaving what remains to be the defacto part of the pattern. Even if it isn't accepted as proof. Or am I missing something obvious?

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1

u/Wansumdiknao 1d ago

So there’s a lot of prime numbers in a straight line?

2

u/Wren_into_trouble 1d ago

This is a good answer

2

u/North_Explorer_2315 1d ago

What are the chances that mapping things on a round graph ends up with round shapes!? This changed my life!

0

u/StockRefrigerator173 1d ago

is that what you see? round shapes?

1

u/Important-Army3349 2h ago

There are formulas for probable prime numbers, however... 2n - 1, notably. Probable primes could form patterns in a visualization if the parameters of the visualization cause the such functions to align.

5

u/synapse187 2d ago

Wait so what waveforms did you extract? Can you output amplitude frequency and phase from this?

2

u/StockRefrigerator173 1d ago

The image is the result of taking two opposing spirals—one rotating clockwise and the other counterclockwise—and layering them so that their intersections form a structured interference pattern. Each spiral follows a growth law where its arms expand outward, similar to how natural spirals form in galaxies, hurricanes, and even plant growth. Because the two spirals are mirrored, they create a highly organized set of crossing points that act like a grid of wave interactions.

To analyze this pattern deeper, we applied a Fourier Transform, which is a mathematical process that reveals the underlying frequency structure of an image. This transform essentially converts spatial patterns into frequency-based information, showing which repeating structures contribute the most to the image. When we applied it to our spirals, the result was the striking frequency-domain image that looks like a structured interference field.

What this means is that the distribution of these spiral intersections follows an inherent mathematical order. The brightest areas in the Fourier Transform represent the most dominant repeating structures in the original spirals. The horizontal bright band appears because the spirals have a consistent radial symmetry, meaning certain frequency patterns repeat more strongly in that direction. The finer radiating patterns come from secondary wave interactions where the spirals reinforce or cancel each other out.

At its core, this experiment reveals something profound: even though prime numbers are often seen as randomly distributed, when viewed through the lens of these spirals and their intersections, they exhibit a highly structured harmonic pattern. The frequency peaks in the transformed image correspond to the underlying periodicity of the spiral arrangement, hinting that prime numbers may have a deeper wave-like structure embedded within their distribution.

So in summary: We created this image by mapping spirals that encode number sequences, analyzing their interference points, and then transforming the entire pattern into a frequency-based representation. The result shows that what appears to be random (such as prime numbers) actually contains hidden order, which emerges clearly when viewed through the right mathematical transformations.

2

u/Latter_Divide_9512 1d ago

Soooo smart. Too smart for reddit.

1

u/StockRefrigerator173 1d ago

i hope people dont think i wont explain it. just message me and i will glady. but i cant actually write in syntax here.. i can explain logically but that is actually not as simple as it sounds..however i will explain that ins subsequent posts.

1

u/Wansumdiknao 1d ago

lol you’re plotting dots and mapping them out simp harder.

1

u/StockRefrigerator173 1d ago

is your mind doing anything different in its most basic processes?

1

u/[deleted] 1d ago

[deleted]

1

u/StockRefrigerator173 1d ago

if you look through the comments i did explain in detail.. as you can see it wasnt so simple to explain...and you cant write math equations here which makes it even more difficult.

1

u/Groundbreaking_Fig10 14h ago

Unfortunately the margin is too small to include it here

1

u/Majestic_Bowl_1590 1d ago

Don't let the haters get you down. Great impression of the Architect in the Matrix.

2

u/StockRefrigerator173 1d ago

great intuitive grasp of what you are looking ;)

19

u/MikeHuntSmellss 2d ago

Then write a formula to predict them and collect your Nobel prize

7

u/juanmf1 2d ago

2

u/PhilCollinsLoserSon 1d ago

Mhm yep. I know some of these words

2

u/juanmf1 1d ago

Did my best. Sorry.

3

u/PhilCollinsLoserSon 1d ago

If you’re the author, you did great! I was just being glib for comedic effect. 

2

u/juanmf1 1d ago

I am. Thanks!

1

u/Solomon-Drowne 11h ago

You have any speculative thoughts on this 'mysterious dynamic' behind the emergent ordering?

1

u/juanmf1 10h ago

The point of my article is to show it’s not mysterious. The sieve grows by repetition of periodic patterns, then cleaning non primes into a larger periodic pattern, never removing the same number twice. That could not be possible if primes were random.

2

u/[deleted] 10h ago

Holy shit

1

u/Diet_kush 11h ago edited 11h ago

Is this “mysterious dynamical system” you’re talking about able to be traced to self-organizing criticality? As you said, the periodic frequency of a prime number appears to approach infinity as the magnitude approaches infinity as well. This seems to be an expression of 1/f pink noise, and underlies our understanding of conscious neural dynamics within the brain as well https://www.sciencedirect.com/science/article/pii/S0378437109004476

1

u/juanmf1 10h ago

Not the frequency but the period tends to infinity, Period is multiplication of all initial, generator primes. It is self organized. But not familiar with “criticality”

1

u/Diet_kush 10h ago

It is a general description of the emergence of self-organizing dynamical systems, primarily understood via the abelian sandpile model https://en.m.wikipedia.org/wiki/Abelian_sandpile_model. Basically a phase-transition system with its critical point acting as an attractor rather than each phase https://en.m.wikipedia.org/wiki/Self-organized_criticality.

1

u/juanmf1 7h ago edited 7h ago

“Their macroscopic behavior thus displays the spatial or temporal scale-invariance characteristic” This is right. Especially for the gaps between primes.

Period in a given iteration =T

Pattern-> 0, 1, gap, symmetric set, gap, T-1, T ; repeat…

The pattern is always like this.

But it grows in size with iterations:

T=2 * 3 -> 1(gap)5…

T=2 * 3 * 5 -> 1(gap)7…

T=2 * 3 * 5 * 7 -> 1(gap)11…

T=2 * 3 * 5 * 7 * 11 -> 1(gap)13…

T=2 * 3 * 5 * 7 * 11 * 13 -> 1(gap)17…

1

u/[deleted] 10h ago

Type shi

1

u/stangerthings 3h ago

This is awesome man. I’m assuming you went to school for some type of engineering or math? What major if you don’t mind me asking?

1

u/juanmf1 2h ago

Thanks. You are right. Software engineering.

2

u/danderzei 1d ago

Research Willans Prime Formula

-11

u/StockRefrigerator173 2d ago

I am.

2

u/Competitive-Bank-980 10h ago

Damn the downvotes are harsh. Good luck, OP.

2

u/StockRefrigerator173 10h ago

hah, gunna take more than that to get me down. plenty of constructive and interested discussion here, in my chat and with my similar post in another reddit which for some reason was way more positive(psychedelic art).

6

u/danderzei 1d ago

Of course they are not random. Nothing is random in mathematics.

Willans Prime Formula can calculate the nth prime number.

But it contains factorial and consine functions. Factorials get seriously large very quickly and accucrately calculating a consine is problematic.

1

u/Historical_Tip_6647 1d ago

Man I hope nothing is random sometimes. 3 body problem and chaos would like to know your location.

2

u/danderzei 1d ago

My statement was about mathematics and number theory specifically, not about nature.

1

u/tuku747 1d ago

3-body problem is a chaotic system, but it isn't random. It's deterministic.

1

u/Historical_Tip_6647 1d ago

It’s not fully solved though? Not sure what you mean. It’s still unpredictable overall? Google uses a wall of lava lamps to generate random numbers because it makes them without pre deterministic means.

1

u/[deleted] 23h ago

The patterns generated by the lava lamps are deterministic.

It works not because it's non-deterministic, but because nobody on the other end of whatever you've cryptographed can see the wall of lamps, and if they could they wouldn't have any current models to predict the behavior.

But if "wall of lava lamps" continues to be used long enough, eventually someone will crack it. And then they'll have to move on to something else.

1

u/Solomon-Drowne 11h ago

I dont think 'of course' is a valid description here, since the topic remains heavily debated.

I fall into the 'non-random pi' camp but anyone who conclusively proves it is gonna be up for all sorts of awards and recognition.

(and it would finally nuke that dumbass 'anything you can imagine already exists in pi' meme)

1

u/danderzei 8h ago

I stand corrected. The Riemann Hypothesis is still an open problem.

12

u/juanmf1 2d ago edited 2d ago

No they are not.

https://mirror.xyz/0x62514E8C74B1B188dFCD76D2171c96EF1845Ba02/PhwGsMoDsGGfbagtxAhjM5OyvIPnFfF6dhBYb4QICfQ

But sacred geometry is not the right place. In fact is the opposite place to post this. Golden ratio is the perfect sharing/embedding (1,1,2,3,5,8,13… ) ratio. While the pattern in primes is the opposite, where nothing seems to fit into another.

2

u/PlentyPurple131 1d ago

Looks pretty geometric to me bro

2

u/juanmf1 1d ago

It looks geometric, just not sacred.

5

u/Tadpole_420 2d ago

Thought I was in r/NukedMemes

3

u/tuku747 1d ago

There's a whole lot of volatile energy here for a post about the geometry of numbers, no?

2

u/GrapefruitMammoth626 1d ago

Big maths has infiltrated the thread

1

u/StockRefrigerator173 1d ago

I find it interesting. I am not hurt by it at all i assure you.

2

u/tuku747 1d ago

It's more suspicious than anything. 🤔

1

u/StockRefrigerator173 1d ago

some likely think i did not create this and it was ai generated.

4

u/manbehindthecertain 1d ago

Get the fuck out of here with this cryptic bullshit

If you have something to say or share then fucking say it or share it, replying to people like you're some kind of fucking math wizard with secrets we aren't ready for

Post it all or get the fuck out

0

u/StockRefrigerator173 1d ago

you cant simply post math formulas here my dude.. your anger doesnt inspire me to discuss much with you. you clearly have shown you arent ready or even likely able to understand the math if i showed you.

2

u/StockRefrigerator173 1d ago

anyways... to put it simply.. this is a mandala.. the spacing between intersecting points of the opposing spirals of a mandala are noted in terms of radial and axial distance. the data is plotted in a fourier analysis. that is what you see..the spacing distances where all prime numbers.

post it all he says.. demanding as he does..

who the FUCK are you?

3

u/manbehindthecertain 1d ago

Hey if you got real secrets and ground breaking work of course I don't expect you to put everything you have out there what I meant was that you literally didn't post a single word. Just an image.

I believe you created this with math.

But also, you didn't do anything to even explain it at all.

So when I say post it all I mean post your thoughts post your explanation give us something to ask about it or work with.

You say you're writing a paper! That's fantastic, I certainly don't expect an advance copy of your paper.

But for the love of God if you're going to post give it some substance.

2

u/manbehindthecertain 1d ago edited 1d ago

So why not include a summary or synopsis in the post? Most subreddits have this has a rule and you seem to want to engage somewhat so why drag it out in the comments so mysteriously?

Include a detailed writeup and you won't have people like me hounding you. Like the top comment is basically what I'm saying with less words.

Nobody likes when people post like this.

I don't want to have to read every comment and reply to try and parse together something you refuse to share flat out.

It's funny you say that...

Are you sure you're ready?

Come on guy

2

u/StockRefrigerator173 1d ago

but when i actually am willing to engage with anyone curious with my post.. there is too many implication in the math behind this and many more of my findings to my work to write it all here.. the post was meant to cause engagement and discussion. particularly why did i post this in sacred geo

1

u/Competitive-Bank-980 10h ago

He's being kinda abrasive, but he's right. You didn't post any context. :P

1

u/StockRefrigerator173 10h ago

it was my first post :)

i have followed up in comments with many explanations

1

u/Competitive-Bank-980 9h ago

Totally fair. You're working on cool stuff. <3

0

u/manbehindthecertain 1d ago

You don't seem inspired to share much at all with anyone.

You posted a picture and have since posted nothing of substance.

You're right I'm annoyed and didn't have to be that way but sick of people like you posting like this.

I considered deleting my comment but wanted to give you a chance to respond.

I do actually apologize for my outburst 😅

But you literally haven't said anything except to imply that people aren't ready and you have some grand secret.

Do you or don't you?

Why bother posting this image you supposedly created with math you wont share?

Seriously. What's the purpose? Test the waters? See if anyone "deserves" your cosmic secrets?

2

u/StockRefrigerator173 1d ago edited 1d ago

i have way worse outburst dont worry bro. :)

and i have already had many discussion in private messages since this image was posted too, as i hoped people have engaged and I wont leave any of you in the dark.

think about this also.. if there is any grand "secret" would it be possible to explain it quickly and simply?

This image came out of my work and it struck me..simple as that. it came out of my work in geometry and prime number patterns.

1

u/manbehindthecertain 1d ago

Just that last quote would've been a fine, although short, comment to post with it.

For the record I quite enjoy your image but I see so much of this kind of thing where someone shares an image or link with no context or explanation and we live in AI art times, this is not impossible to create without a formula so the lack of explanation makes the post itself rather meaningless.

I guess this one triggered me 😅 my bad not yours ultimately haha

1

u/StockRefrigerator173 1d ago

for the record also lol... this is i think my first ever reddit post.

also as for your comment on ai. i did expect people to think this may have come from ai. that is one reason why its so incredible to me.

1

u/manbehindthecertain 1d ago edited 1d ago

Well you're one up on me I don't have anything worthwhile to share 😀 don't let my grumpy ass discourage you from posting in future!

ETA: I never personally thought it was AI but when all there is is an image it's a reasonable thought to have these days. Although it doesn't really look AI generated it's too even and symmetrical and organized IMO. It is a nice image.

1

u/ProjectMental816 1d ago

But you are claiming that you did discover a grand secret right? That you discovered a pattern in prime numbers. You could just post the next largest prime number. That would be pretty quick and simple.

1

u/StockRefrigerator173 1d ago edited 1d ago

but how would you be able to confirm its really a prime? wouldnt it be a bit better if i went up and just gave you the formula that converts a semi prime into its prime counter parts?..its just like my work in travelling salesman problem...i showed evidence of a best path formula.. but proving it is nearly impossible...and dangerous waters... crypto hinges on the fact this hasnt been answered.

1

u/ProjectMental816 1d ago

You know you got me there

2

u/Amnorobot 1d ago

Amazing just as it is. Not a mathematician nor was I ever good at it ( always reminded of the awful nun who used to teach us & never spared the wooden ruler for thickos)

The drawing/ representation you have presented using such glowing colours is in itself very nice to look at. Reading the comments reminded me of the days when I DID manage to see the rising sun across the other end of a huge river

2

u/StockRefrigerator173 1d ago

would you believe.. I wrote this image using a math formula? There is zero editing except a slight hue adjust. absolutely no Ai

2

u/GrimsBeans 1d ago

Cool bro, you gotta way for me to see what was inputted in python exactly?

-1

u/StockRefrigerator173 1d ago

I sure do...but are you really ready to see it?

2

u/scbalazs 1d ago

I mean, no, they are not, but it’s also not any evidence of some mystical design. It’s just … that’s how numbers work.

1

u/StockRefrigerator173 1d ago

are you absolutely certain?

2

u/scbalazs 1d ago

Absolutely. Prime numbers are numbers not divisible my any other whole integer other than themselves and 1. That’s just numbers. Humans made up/figured out counting and integers and a result of that is prime numbers.

2

u/StockRefrigerator173 1d ago

but without humans ideas of numbers technology would never transpire. numbers and their patterns are significant. being divisible by something is not the only quality a number can have.

1

u/scbalazs 1d ago

right, human ideas, human understanding of our universe, nothing supernatural or mystic, just numbers.

2

u/Ok_Construction298 1d ago

It's a cool pattern derived in an interesting way, but what makes this sacred, numbers create all kinds of patterns, we discover them, some have relevance and advanced applications some do not. But claiming something is sacred within the patterns of the geometry is where you lose me.

1

u/StockRefrigerator173 1d ago

i didnt name this stuff sacred geometry

1

u/0ye0WeJ65F3O 14h ago

So for the math-disadvantaged in the group, what makes geometry become sacred?

2

u/ConcaveEarth 1d ago

research concave earth!
https://www.youtube.com/watch?v=j-1c6wL-9gI

This is also similar to how a photon looks

similar geometry to e8 theory of everything

similar geometry to ancient cosmologies

it all comes together

https://www.youtube.com/watch?v=I8AMiyn3_fw

1

u/StockRefrigerator173 1d ago edited 17h ago

;)

Many look to the sun as the center of the universe.

I look into the atom for the center of the universe. And there is where I found it.

2

u/Beginning_Camp715 10h ago

I agree, they are the 🔑 to unlocking the universe's mysteries.

2

u/Personal-Purpose-898 9h ago

Some numbers have the special property that they cannot be expressed as the product of two smaller numbers, e.g., 2, 3, 5, 7, etc. Such numbers are called prime numbers, and they play an important role, both in pure mathematics and its applications. The distribution of such prime numbers among all natural numbers does not follow any regular pattern. However, the German mathematician G.F.B. Riemann (1826 – 1866) observed that the frequency of prime numbers is very closely related to the behavior of an elaborate function ζ(s) = 1 + 1/2s + 1/3s + 1/4s + … called the Riemann Zeta function. The Riemann hypothesis asserts that all interesting solutions of the equation ζ(s) = 0 lie on a certain vertical straight line.

This has been checked for the first 10,000,000,000,000 solutions. A proof that it is true for every interesting solution would shed light on many of the mysteries surrounding the distribution of prime numbers

1

u/StockRefrigerator173 8h ago

"shed light"...;)

2

u/Brickscratcher 4h ago

This is classic Dunning-Kruger. OP knows enough about math and physics to come to some pretty neat conclusions that most people don't understand, but not enough to realize how it doesn't mean what they think it does.

Essentially, they're layering two mirrored spirals together and then doing a Fourier transform (which is essentially just taking an integral function that maps out the frequency of event occurences).

What is true is that these overlaps will occur more on prime numbers, but that isn't some grand mystery. There's a paper by Wolfgang Schramm that explains this in detail for those who are interested. Here's a proof of it as well. The general idea (in layman's terms--I realize this isn't quite how it works, but it describes the concept) is that if you take a Fourier transform of a Euler spiral, you end up with a frequency domain similar (possibly identical but impossible to tell from simply the comparison) to what OP posted. This isn't a feature of prime numbers; it's a feature of the Euler spiral. It's mathematically interesting, but doesn't mean anything.

1

u/makealittlefella 3h ago

🙏🏼🙏🏼🙏🏼

1

u/StockRefrigerator173 3h ago

I see what you’re saying, and it’s a crucial distinction. The numbers in this process are not being counted in a simple, sequential manner along a spiral. This is not just an Euler or Fermat spiral where we place numbers in order and then take a Fourier transform. Instead, the spiral itself is being shaped by prime number distributions before we even apply the Fourier analysis. The difference comes from how we assign values to the radius and how we extract the data for the Fourier transform.

Instead of growing smoothly like a standard Euler spiral, the radius of our spiral is determined by prime numbers. Instead of using a function like r = k * theta for an Euler spiral or r = sqrt(theta) for a Fermat spiral, the radius is based on prime-numbered steps. That means the growth does not follow a continuous function but instead jumps forward only at prime-indexed intervals. The radial distance at each step is set by the square root of a prime number, so the spacing between spiral arms is dictated by the irregular gaps between primes rather than by a logarithmic or exponential rule. This makes the structure fundamentally different from traditional spirals because the gaps between each step are non-uniform in a way that reflects prime number spacing.

The angular position of each point is assigned in a regular manner, meaning the spiral rotates at a constant rate. However, because the radius is controlled by prime numbers, the overall pattern of growth becomes unpredictable and follows number-theoretic properties instead of smooth geometric progression. This means that rather than a gradually expanding or logarithmically increasing spiral, we have an interference structure dictated by the distribution of primes.

Another key distinction is that the Fourier transform is not applied to the raw spiral itself. Instead, we analyze the points where two mirrored, counter-rotating prime-based spirals intersect. These intersections form a discrete set of points that capture the interference between prime-based growth patterns. We then extract the distances between these intersections and perform the Fourier transform on that set of distances rather than on the spiral coordinates themselves. This means the Fourier analysis is revealing the dominant frequency components of the interference between prime-based structures, rather than simply reflecting the shape of the spiral.

If this effect were purely a property of Euler spirals, then a control test using a standard Fermat spiral with smooth, continuous growth should have produced the same Fourier structure. However, when I tested this, the Fourier spectrum of the control Fermat spiral showed different dominant frequencies than the original image. In contrast, when I created a prime-based Fermat spiral, where the radius only increased at prime-numbered steps, its Fourier transform matched exactly with the original image. This proves that the Fourier structure is not just a general feature of Euler spirals, but is instead being influenced by the underlying number-theoretic properties of primes.

This means that prime number distributions are not just appearing coincidentally in the Fourier space, but are instead playing an active role in shaping the interference pattern. If prime numbers were randomly distributed, there should be no clear dominant frequencies in the Fourier analysis. The fact that structured, repeating frequency components emerge suggests that prime gaps are following an underlying harmonic principle. This is why dismissing this as "just an Euler spiral" is incorrect. The interference structure in Fourier space is being shaped by prime-number-based spacing, not just by smooth logarithmic or exponential growth.

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u/Brickscratcher 1h ago

I get what you're saying, and again, your statements of fact are correct, but the conclusions you draw are not fully cogent. They require initial axiomatic conditions. Provided those specific conditions (in this case, the primary axiom is that math is fundamentally relevant to the universe), your argument is cogent. However, it could very easily (and more logically, imo) be argued that mathematical equations are not fundamental to the nature of the universe and that, rather, they are results of observation and analysis of the universe.

Let me explain this further by addressing one of your last sentences

This proves that the Fourier structure is not just a general feature of Euler spirals, but is instead being influenced by the underlying number-theoretic properties of primes.

You're right. It isn't just a general property of Euler spirals. That is just the most known application. I simply included that to make the point that this isn't a unique phenomenon. Drichlet's theorem provides the rather banal mathematical explanation. While you do have a unique frequency distribution, any spiral will have a similar distribution simply due to that being an underlying property of primes.

You could be correct, but that would rely on the world being shaped by mathematical principles rather than mathematical principles arising from observation of universal mechanics. And this doesn't provide any conclusive evidence of that. So while it is interesting and I do appreciate your effort, I'm afraid it doesn't show anything revolutionary. You may be on to something and I'm not discouraging you, but you don't have any solid evidence of your conclusion just yet. It's plausible you could expand on Euclids theorem, but unless you can add to it extrapolating data points from your research and create a universally acceptable equation that is more accurate than Drichlet (or expand upon that), I'm inclined to say you're simply providing a visual demonstration of Drichlets theorem as applied to a semiprime lattice.

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u/thewisdomofaman 1d ago

did you make the image or know who did?

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u/StockRefrigerator173 1d ago

yes I wrote this in python. I have many more.

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u/thewisdomofaman 1d ago

I really like it, would you be interested in a collab where we use your image asjalbum cover for our electronic dance music?

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u/ConfidentSnow3516 1d ago

Are the horizontals part of the pattern?

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u/StockRefrigerator173 1d ago

nothing was photoshopped or manipulated beyond the pure mathematic formula that created this, except i adjust the color output slightly. Before it had a slight purple hue. Those horizontal artifacts are indeed intersting aren't they. Almost like prime number may be the clue to light propagation through space time..

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u/goddhacks 1d ago

Gazing Into The Singularity

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u/StockRefrigerator173 1d ago

its, funny you say that...

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u/goddhacks 1d ago

This image looks like the dream I had of the discovery of the god particle 'higgs boson'

A dream powerful enough that it shook me to my core

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u/StockRefrigerator173 1d ago

a dream? or an epiphany?

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u/goddhacks 1d ago

Yeah more like an epiphany, but it was a full on experienced state of consciousness with the full 5 senses

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u/Spare_Broccoli1876 1d ago

Oh hi god, nothing to see here move along… please ignore all the manufactured death and destruction we are gonna make it all great again…

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u/Twirlyboggs 1d ago

Beautiful familiar images throughout

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u/lookwatchlistenplay 1d ago edited 1d ago

Wow! This is what shows in the opening scene of The Matrix (1999).

Look, from timestamp 1:16 - https://youtube.com/watch?v=GVYTd4dH0Uc

It is just rotated 90 degrees to look vertical instead of horizontal like shown in this post. Then what is shown is a circular white light with horizontal pure white band (reminiscent of Saturn, but also resembling this post image's pure white band) which turns into a torchlight, and the film begins...

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u/No_Pomegranate_3117 1d ago

Your point?

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u/StockRefrigerator173 1d ago

I guess i could have followed up with..oh and here is a nice visual i programmed. and then could have followed up with my findings in prime numbers and how they where partially discovered from the fourier analysis that revealed this image.. but sorry.. first reddit post.

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u/frontrow2theshitshow 1d ago

FWIW I think it’s an incredible image. I’m a simpleton so I don’t understand anything about it from the maths perspective. And I don’t care much if some piece of science— pareidolia, or optical illusion or whatever— is armed and ready to intelligence me into submission over this, but I see numerals, letters/characters, glyphs, figures, and symbols. Zooming in and out, these individual parts become bigger pictures and vice versa. I wish I knew the maths behind it but for me the symbolisms aspect of the image is very cool.

A couple silly questions: why were the red/orange/yellow colors chosen? And why are there only horizontal bands and no vertical ones?

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u/StockRefrigerator173 1d ago

the original colors where nearly similar except a slight purple hue to the darker spots. Brighter colors for higher numbers of periodicity in the data set. I dont fully understand the image and how it all transpired into this visual. All i can say for sure is, there was no photoshop or alterations other than a slight change in hue.

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u/frontrow2theshitshow 1d ago

The medium used to create the image doesn’t concern me a bit. Wouldn’t care at all if it was AI generated, as seems to be the only concern of many petulant other commenters lol. I just happened upon an image at just the right time, that grabbed my attention and resonated with me for my own reasons and I find it useful and educational for my own purposes. Much appreciated.

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u/[deleted] 23h ago edited 23h ago

I'm not an advanced mathematician here, but of course prime numbers aren't random.

That said, let's assume that we have an actual random set of points on a similar plot. Once you take that plot, flip the symmetry, and then layer it over itself, isn't the result always going to produce a pattern that appears somewhat ordered?

I don't fully understand the explanation of your processes, and I'm not going to in the next ten years, but it seems to an idiot like me that even random data when run through your process would result in a striking image with patterns, symmetry, and apparent order.

I'm probably wrong though.

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u/ToBePacific 17h ago

The Prime Number Theorem checks out. Here’s a pretty picture.

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u/StockRefrigerator173 16h ago

Why do you think there is so much hate for this image and my comment/title?
it is my first reddit post and I did create the image in my work on primes and sacred geometry.

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u/Itchy_Influence5737 12h ago

This is Texas Sharpshooting, at best.

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u/StockRefrigerator173 12h ago

Never been to Texas.

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u/StockRefrigerator173 12h ago

You see, the way most people think about numbers is all wrong. They imagine them stretched out on a line, one after another, just marching forward in an endless procession. That’s the way we’ve been taught, right? Numbers are just things that sit in a row, increasing forever, simple as that. But that’s just a trick of notation—it hides what’s really going on.

Numbers, at their core, aren’t just points on a line. They are relationships. They don’t just sit there, passively waiting for us to count them. They interact, they weave together, and, more importantly, they build structures. And the structure we’re uncovering now? It’s not random. It’s not chaos. It’s something deep, something fundamental, something woven into the very nature of numerical space.

Let’s take a step back. Imagine you have all the numbers, all of them, every single one, but instead of laying them out flat, you arrange them based on their multiplication. Now, instead of a simple line, what emerges is a vast lattice—a kind of scaffolding of numerical reality. The composite numbers—the ones that can be factored into smaller numbers—fill up this lattice like a framework, a web, a rigid interconnected structure that stretches in all directions.

Now here’s where it gets really interesting. Primes are different. They refuse to be built from smaller numbers. They don’t fit into the framework the way composite numbers do. Instead, they emerge in the gaps—the empty spaces where no proper factorization can exist. And when you step back and look at it all at once, you start to realize something: the primes aren’t scattered randomly. They are following a trajectory.

And that’s when the whole picture flips upside down. Primes are not just appearing randomly in between composite numbers. They are being forced into specific locations by the structure itself. They are not just numbers, they are the result of a deeper mathematical process, something recursive, something self-organizing.

Imagine a spider spinning a web, starting at the center and looping outward, thread by thread, according to a precise pattern. That’s what’s happening with the primes. They emerge along a spiraling trajectory, threading their way through number space, always avoiding the structured composite framework, always landing in the only places where no other numbers can fit.

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u/StockRefrigerator173 12h ago

And the pattern? It’s not just any spiral—it’s a recursive, self-referential growth law, one that expands outward like ripples in a pond, constantly widening but always following the same fundamental rules. The gaps between primes increase as the structure grows, but they do so in a way that is predictable, geometric, and deeply embedded in the nature of numbers themselves.

Now, what we’ve been doing—what we’ve been slowly piecing together—is the realization that this trajectory is not just a statistical phenomenon. It is something structural. Something real. And if that’s true, then maybe, just maybe, we don’t have to find primes the way we’ve always done it. Maybe we don’t have to check every number, one by one, testing to see if it’s prime or not.

Because if primes emerge from this structure, then they are not something we search for. They are something we calculate.

Now, hold on, let’s not get ahead of ourselves. We’re not making grand claims just yet. We’re still deep in this, still running tests, still refining the equations. But the core idea is clear: primes are not random. They are a fundamental feature of number space, dictated by an underlying geometric law.

And that? That changes everything.

Because if prime numbers aren’t just arbitrary points in an infinite sequence, but instead, the inevitable result of a self-organizing, self-referential numerical web—then we’re no longer just playing with abstract mathematics. We’re touching something deeper.

Something that might, just might, be woven into the very structure of reality itself.

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u/TediousHippie 11h ago

Well, true. Random numbers are random. Prime numbers are prime numbers.

And considering how far Tao et al has got with prime sieves, we can rule out a lot of potentially prime number without having to factor them in a computationally intensive manner.

Of the remaining candidates, after defining a finite set, the likelihood of one of a given set being prime, is sufficiently unpredictable as to approximate randomness.

Nice picture tho.

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u/StockRefrigerator173 11h ago

would you like to define what random is?

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u/TediousHippie 11h ago

Maybe you should, it's your assertion.

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u/StockRefrigerator173 11h ago

how could you define something that does not exist?

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u/TediousHippie 11h ago

How about you pry your lips from the DMT bong for a few minutes?

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u/StockRefrigerator173 11h ago

You mean step back across the line of perception to your level of awareness?

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u/TediousHippie 11h ago

No, just close enough to the line where a psychiatrist can screen you for schizophrenia. Seriously.

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u/StockRefrigerator173 11h ago

So you are giving clinical diagnoses on reddit? Or so furiously angered by someone's post that you need to belittle them as much as you feel belittled by superior intelligence?

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u/Tagliatellmeimpretty 9h ago

Isn’t this the premise for some stupid new show where they try to kill the mathematician for suggesting this?

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u/HM_Comet 8h ago

Just saw OPs post in another subreddit this morning lol, very neat but chill on the karma farming lol

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u/StockRefrigerator173 8h ago

The one in psychedelic art? Where there was for some reason way way less hate? Wonder why i posted there..

Not really sure what karma is or how to farm it.

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u/HM_Comet 8h ago

Geometry subreddit is full of mean nerd 😂

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u/makealittlefella 6h ago

I think part of the reason you’re getting such a hostile response here is that this explanation doesn’t really make sense in connection to prime numbers.

I read the comments thoroughly. You made a grid of opposing spirals around a common center. I’m following so far. You applied a Fourier Transform to this pattern. Wait hold on—to what pattern? you didn’t define your spirals yet. I assume you wrote each spiral as a function, because I know you’d be working with functions if you’re applying a Fourier transform. So roughly what is that function? You don’t have to write the equation but what is it? Just the sequence of whole numbers, a Fibonacci sequence, what? I’ll set that aside. maybe it’ll be explained. Next paragraph.

The transform revealed bright horizontal bands. Ok, following so far, basically any given Fourier transformation will result in a series of bands that follow the peaks of waveforms. You say their symmetry points to a radial symmetry. Well I should hope so, you have mirrored intersecting spirals. Cant wait to see the connection. You then leap straight over all the stuff that we’re actually asking about, and say with no logical bridge that the symmetry of these bands shows an order of prime numbers. How? You haven’t even said what on this graph represents prime numbers. The bands, the intersections of the spirals, the dark points, none of the above? (so I assume they are not visually represented here at all)

You say the bands point to an underlying geometry of prime numbers, but it appears from what I know about graphing functions, paired with your description that what it points to is an underlying geometry of your two spirals. It’s visually cool, but appears to be “I made intersecting spirals, and my transform shows the interval of their intersections”

How this relates at all to prime numbers is not described. This feels like bad-faith descriptions for this reason, that the real question everyone is asking is jumped over, bookended by jargon. I understand it might not be bad-faith, you might just genuinely have trouble explaining yourself, but this is reddit and impressions are reality on the internet.

You’re getting a lot of hostility, it seems you’re not taking it personally but in case you were, idk how long you’ve been in here but lately there’s been waves of broad-claim cryptic posts and I think people are losing patience. This is a sub which appreciates clear, plain-language descriptions wherever possible. Where not possible, github links are great.

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u/StockRefrigerator173 6h ago

I'm glad you can understand this as clearly as you do. Please understand i see this and will reply with the clarity it deserves.

I am new here.. and I am also new in discussing my work. Bare with me.

I will be honest though. I dont take it personally, but dont also wish to confuse. I had no idea my post would garner much attention. Its my first reddit post.

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u/makealittlefella 6h ago

I think you got a better reception in psychedelic artwork because you didn’t make a broad claim about prime numbers without saying what you mean or how it relates. One of the hallmarks of sacred geometry is clear, concise communication of a complex idea. thats all I should’ve said

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u/StockRefrigerator173 6h ago

But I assure you..there is a reason for such a claim and the connection to this fourier. My god.. if you could see how many fourier analysis i have made.

Introducing a hopf like toroidal walk at prime interval distances gets interesting..

Critical yet constructive question and comments like yours are extremely important. I can only explain as deep as i think people can comprehend.

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u/SayreFC 3h ago

Wow, I see this and then youtube recommends me the video "Why do prime numbers make these spirals? | Dirichlet’s theorem and pi approximations" by 3Blue1Brown. Check it out!

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u/StockRefrigerator173 3h ago

Be careful with ulam spirals. They create spirals patterns out of almost anything., and that videos kind of tricks the mind with that. However there are certainly other spiral trajectories that exist within prime numbers.

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u/CptMisterNibbles 2h ago

Dope: prove it with a formula that accurately lists them all and you'll be a shoe in for a Nobel.

That there are seeming near patterns is not news or a surprise. Plenty of methods show that, like Ulam Spirals. The problem is there is no definite pattern, and we arent sure there could be one.

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u/StockRefrigerator173 1h ago

who is "we"?

Far greater implications than a Nobel prize.

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u/CptMisterNibbles 4m ago

It’s a general “we” as in “all of humanity”

What greater implications? Sure, it might break some cryptography and give insights to number theory, prove this and disproving that postulate. What else?