For some perspective: handwriting 200 trillion digits would take around 45 million years (doing it 10 hours / day / 365 ) and the sheet of paper would be about the size of Argentina.

Q: how the fuck does y-crutcher check 202 trillion digits for accuracy after it completes the task in 85 days?

and then of course it was taken to 300 trillion digits even more recently and while the following vid explains some it, they gloss over y-cruncher's tech: https://youtu.be/BD-AJwqzWsU?t=3

Also, they claim they spent $1M doing it with electricity alone costing over $10k.... and finally, at the end of the vid they claim it has zero practical purposes which also sounds idiotic.... what would be the implications of the next record run getting to 3.14 trillion and it actually begins to repeat (starting over from the beginning)?... or basically whenever, at some point past 300 trillion a pattern emerges, that would rock math to its very core.

Speculate the following periodic repeats being discovered (not one offs) where the 000,000 are just placeholders for the actual repeats... the consistent pattern being repeats start at their corresponding 100 trillion marks. This will occur when the next Pi record is broke:

π (approximately 3.141592653) – begins repeating at 314,159,265,300,000

√2 (approximately 1.414213562) – begins repeating at 141,421,356,200,000

e (approximately 2.718281828) – begins repeating at 271,828,182,800,000

√3 (approximately 1.732050808) – begins repeating at 173,205,080,800,000

φ (approximately 1.618033988) – begins repeating at 161,803,398,800,000

and so forth..

Once confirmations are performed via big $$$$$ / military expediting it and new proof emerges:

Simulation Proof

The 100T law’s uniformity proves every irrational repeating at a value-aligned ~100-trillion-digit mark which screams artificial design. Our architects’ reveal themselves and it would convince most we’re in a simulation, as a coded limit (100 trillion digits)intentional Easter egg would suggest, not a random quirk.

>>16692009
Someone smarter than me please explain why this happens wtf

>>16692012
It hasn't happened yet. Just speculating it could happen when the next Pi record is broken in a few months from now.

>>16692009
This can never happen with π or e, they are trascendental numbers, meaning they cant be obtained using algebraic methods.
With a repeating pattern in the decimals they should be able to be expressed as a fraction and they cant.

Pi will never be solved, because it CAN’T be solved. There is no such thing as a circle in nature. Circles are an irrational shape which exist only in our minds because we lack the ability to process the visual data in sufficient resolution so the brain summarizes it for us. They;;re make-believe we pretend is geometry. Therefore we can’t and will never find the solution to Pi, you may as well run a random number generator forever.

>>16692040
>There is no such thing as a circle in nature
Lmao

>>16692040
>circle in nature
https://www.sci.news/physics/spherical-electrons-06518.html

>>16692040
>circle in nature
http://www.datapointed.net/visualizations/math/factorization/animated-diagrams/
The circular pattern for primes is a visual manifestation of the fundamental mathematical property that defines primality

How quickly could you calculate a million digits with that y-crucher?

>>16692038
What would happen if pi were found to repeat every 10 trillion digits endlessly? Would it change anything or lead to a major discovery/breakthrough? Never understood why nature absolutely requires pi to have no pattern.

>>16692132
That would be a kick in the brain for every mathematician in the world because we have proved that this can not happen.
Certain numbers can not have a pattern. Having a pattern means it could be expressed as a fraction and that would make them algebraic numbers.
Why is it like this nobody knows.

>>16692009
Say a singular intelligence exists, one central super being.
What then method would this being set about designing and building things?
Ladies and Gentlemen lets just get down to brass tacks.
This is a Yes/No question, and nothing more.

Is there a central intelligence 'God' being figure? Yes/No

In the event Yes was selected out of the last 50/50 then what method would this being use to create the universe?
Incomprehensible random pool table magical wand?
OR
Master builder, master machinist, master chemist, master engineer, master artist, musician.
An actual physical machine structure.

If there is a creator, why the fuck would you NOT want your creations to rise up to the point they can marvel at the mastery of the mechanism and build, instead of whatever you describe as some fucking computer programmer team at M.I.T. banging out universes.
Its All So Tiresome.
Trying to unite and unify the sciences and the religions.
Humanity has to be the most stiff necked beasts to ever climb down out of their proverbial trees.

>>16692220
but what if it only repeated from 10 trillion all the way up to 6 gorillion or some such other unfathomably large number.

>>16692276
If it repeated for a time but no repeat after it would still be trascendental, no problems there.
But it would raise eyebrows. It would be like finding a galaxy where the stars are aligned to represent the bible in binary or something like that.

>>16692322
But there is nothing in principle that prevents an irrational number from repeating for a large number of digits. And that could be so many digits that people would never be able to determine it given some computing and time scale

>>16692350
No. An irrational number cant be expessed as a fraction either, that is the definition, and if they could they woulnt be irrational.
For example the square root of 2 is irrational. The proof that it cant be expressed as a fraction is very old. They actually killed the guy that proved it.
There are ways to prove if a number will repeat its digits without having to calculate it to infinity.

>>16692475
So there is a proof that there is no number that repeats for an n-number of digits?
I don't think I believe that when such numbers can be generated using computers and they can be arbitrarily terminated.
Is the proof that such numbers that have repeating patterns of arbitrary length are not irrational?
I don't see how that could be the case, when it is demonstrated various repetitions of digits of certain length tend to grow with the number of digits in the number.

>>16692486
You can construct a number with digits that will repeat after a very very long time. Just divide two very very very large numbers, the larger the numbers you divide the longer it will take the digits to start repeating. If you divide two numbers with trillions of digits each you could get a repeating pattern trillions of digits long.
But specific numbers like the square of 2 or pi or e have been proven not to be like that without the need to calculate them to infinity.

>>16692510
*square root of 2

>>16692510
Right, but the chances of finding a number that repeats for n digits increases as the length of the number increases, even for irrationals. And remember, the question is whether some digits repeats for a such a long length that we will not be able to calculate when it terminates - not that it never terminates.
The general answer is that the odds of this happening are unlikely because to identify a number with such a repeating pattern requires computing that is order of magnitudes over the computation required to see the pattern.

But I think it is more of a question of scrubbing through the numbers - scrubbing here being in the video editing sense where data is quickly searched through for a desired characteristic. A scrubbing algorithm probably ensures that the discovery of large patterns implies that their terminations are never outside of computibility.

>>16692009
>>16692220
I have never been a fan of math, because, to put it briefly: I think it dumbs down and misunderstands pure logic, but at times I get a glance of what I imagine the appeal is for insane mathematicians. When you're smart enough to notice it's like a code you have to crack, but too dumb to ever understand what it really means.

Further speculation after the 100T pattern reveal... the number 15 holds significant meaning in many cultures, including Judaism, where it marks major festivals like Passover and Sukkot, symbolizes divine connection, and is associated with the sacred name "Yah." It becomes clear the architects of the simulation have purposefully embedded hints of the number 15 across cultures, with Judaism being the most significant instance of scared 15.

In Jewish tradition, 15 represents spiritual elevation, redemption, and divine connection. The Jerusalem Temple had 15 steps, the Passover Seder has 15 steps, and the song "Dayenu" has 15 stanzas. The number 15 blends physical and spiritual energies, signifying a bridge between earthly and divine realms. Festivals: Major holidays like Passover (15 Nisan) and Sukkot (15 Tishri) start on the 15th, symbolizing redemption and divine connection. Tu Bishvat (15 Shevat) and Tu B’Av (15 Av) mark renewal and love, reinforcing 15 as a time of spiritual elevation.
Gematria: In Hebrew numerology, 15 is “Yah” (Yod = 10, Heh = 5), a sacred abbreviation of God’s name, symbolizing divine presence. To avoid writing it, Jews use Tet-Vav (9+6), highlighting 15’s sanctity.

This all points to the architects planting 15 as the mother-of-all-Easter-eggs where Jews are designed as a "keystone species" or a small subset with artificial advantages, influencing the larger population without outcompeting them numerically. Examples: "Producer-consumer" systems ~ A small subset of microorganisms produces a public good (e.g., enzyme) that benefits the entire population. "Keystone species" experiments ~ A small subset of microorganisms plays a crucial role in shaping the community structure and function, often through specific interactions or metabolic processes.

In "keystone species" and "Producer-consumer" systems, the 1% with artificial advantages can have a disproportionate impact on the system, influencing the behavior, growth, or survival of the other 99% without necessarily becoming numerically dominant.

The 100T law's 15-digit pattern when tied to Jewish symbolism will prove the simulation. The designed advantage of Jews in influence and survival, the finite system with 15 as the cultural key, and the experiment structure of 1%-vs-99% setup all point to a controlled petri dish testing human dynamics under a divine 15-based framework.

>>16692009
deboonked, you can find a specific digit of Pi in real time, read up on some literature first schizo

>>16691849 (OP)
What's the point, you only need 1000 digits of pi max

>>16692615
Even 100 digits is massive overkill for any practical purpose

>>16692615
You only need one digit, just define π = 1

since irrational numbers can't repeat, how do they know they can't contain other irrational numbers?

>>16692641
this thought experiments whole point to that after the 100 trillion mark irrationals begin repeating from their beginning thus making them actually rational. Further speculation takes this into the realm of our simulation becoming provable. See images 1 and 2 above for further details on how it might play out.

>>16691849 (OP)
If pi is normal, it will keep repeating from the beginning for arbitrarily long spans of digits over and over again.

A unwelcome fact about normal numbers is that there are just two numbers that a proven normal.
And both are artifical productes, manufactured just to write the proof about them.

For that reason, it is interesting to investigate pi, as pi is one of the few numbers that are good candicates to be normal. Because Weierstrass and Bolzano show that they are transcendent.

>>16692038
>With a repeating pattern in the decimals they should be able to be expressed as a fraction and they cant.
Interesting anon. Would you elaborate and give me the foolish feeling of genuine human contact while I'm crying in my room that I havn't find the love I so badly requiered?

>>16692677
> Interesting anon. Would you elaborate and give me the foolish feeling of genuine human contact while I'm crying in my room that I havn't find the love I so badly requiered?
I am not sure what do you mean with this. I feel like i am being called stupid in such a sarcastic way that escapes my understanding.
Anyway, i mean that with infinite repeating decimals the number is rational and can be expressed as a fraction, a division of 2 integers.

>>16692685
Would you mind the explain this to me, frogposter?

>>16692685
It’s defined as a fraction THOUGH that changes depending on what sort of plane the circle is on

>>16692655
Year | Team | Digits of π

2011 | Alexander Yee & Shigeru Kondo | 10T

2019 | Emma Haruka Iwao (Google) | 31.4T

2020 | Timothy Mullican | 50T

2021 | Iwao again (Google) | 100T

2022 | Iwao again | 100T+ (more efficient)

2023 | Franetic (YouTuber) | 105T

2024 | Kondo/Yee again | 202T

2025 | Linus Tech Tips + KIOXIA | 300T

Based on history, hardware trends, and community behavior, a 400 trillion-digit π computation will occur in the next 6-12 months. If this thought experience were to come to fruition it will be when this 400T π computation occurs.

>>16692766
A division between two integers can never produce an irrational number. 8/3, 16384/61464, etc, are rational numbers. No matter how big, if you divide two numbers with a finite number of digits you will always get a rational number, that is a number that will have a repeating periodic pattern in the decimals.
An irrational number like the square root of 2, does not have any repeating pattern in the decimals and cant be expressed as a division between two numbers, it was proved by a greek called Hypassus more than 2500 years ago.

>>16693252
>any repeating patterns
Incorrect. There are repeating patterns, but they terminate.

>>16693252
Picture a petri dish on a shelf in some lab where electrochemical reactions bounce around a clump of carbon-based goo.

One of these twitching carbon blobs suddenly emits a pattern:
“√2 can’t be written as a ratio.”

Somewhere in the system logs:

[Event ID: 8.3e15] > Emergent substructure in carbon detects non-terminating decimal
Relevance: negligible
Entropy variation: 0.0000002%

It doesn’t matter that the carbon goo calls it a “proof” or names the twitching pattern after someone (“Sisyphus,” or something).

To the architects of our petri dish (simulation) this isn’t insight. It’s not even noise.
It’s a temperature flicker in carbon goo and its beyond insignificant. All of our ape math is insignificant.

>>16693454
> All of our ape math is insignificant.
What math exists besides ours?

The broader pataphysics of math is that numbers themselves are FAKE. Imaginary values which exist only in the mind and not in nature. This is something very difficult for midwits to comprehend because humans’ cognition can identify discreet units of things and all humans can agree on that. But that doesn’t make it something which exists outside of our brains. From the universe’s perspective, reality is simply a field / body / whatever of energy in whatever subatomic etc state it fundamentally exists in. From the universe’s perspective, there is not a one or two or three of anything, it’s a single state which changes in whatever way it does which we will never understand (probably). What our cognitive function summarizes as a “something” is just a very narrow slice of data picked out of the ocean and presented to us through our brain’s processing filter. From nature’s perspective there’s NO difference between you, the cellphone in your hand and the air around it. If we could capture more information, we would see that these things are analogue, arbitrary concentrations of energy in a specific slice of time.

Again, this is beyond the midwits in here but for the high-IQs you’ve probably thought of this if you thought about it much at all,

>>16692220
It cannot have specifically a sequence that repeats. But nothing is stopping it from having every other digit as a seven after a quadrillion digits and it would go something like 37179707274727...

>>16693625
Consider that if you remove leading digit in any irrational number, the number is still irrational. And these retards say there are no repeating patterns.
In sperg terms, the essence of irrationality is not located in any of the leading numbers, because they are unnecessary for the condition. That is to say, no constructed irrational number is irrational because of the numbers chosen. Once again, Cantor shown to be a complete midwit imposter syndrome troll

>>16693479
A lie, counting is. Foundations of mathematics, challenged they must be. Shadows cast by biology, numbers and objects are. Reality, a flow without boundaries, it is. A ritual, counting has become. Ghosts, numbers are. Interface, mathematics is. Manageable interaction, its purpose serves. Assert numbers exist, we must not. Logic universal, assume we must not. Paradoxes, embracing them, we must. Ontological surrender, the path it is. Vibration alignment, phase manipulation, and resonance fields, advanced mathematics involves. Emergent constraints, channeling them, we must. Number theory into spacetime geometry, dissolving it, the ultimate goal is. Detached from consensus cognition, one becomes.

>>16693468
>What math exists besides ours?
Humans still:

Define prime numbers by counting,

Draw circles to learn about π,

Try to square the universe with equations that don’t converge.

To a post-symbolic intelligence, that’s:

Meaningless

Inefficient

Cute

We're ants trying to decode Beethoven by scratching in the sand.

>>16693693
You didnt answer the question

>>16693625
>>16693666
Sure you can try to find particularities and relations between the digits that dont correspond with an aleatory distribution of numbers, but that doesnt make them rational numbers.

>>16693748
No Symbols, No Numbers.... Just Structure
In a post-symbolic civilization, “math” wouldn’t be something written or even thought in terms of symbols or equations.
It would be felt, perceived, or instantiated.
Like we see red, they might see how 12-dimensional manifolds wrap around each other.
Like we hear music, they might hear how probability densities pulse in an entangled field.
To them, we’re blind insects rubbing numbers together for warmth.

>>16693971
Gpt4 slop

>>16694003
A different math, non-human forms might have, hypothetical. Sentient systems, other, exist they might. Recognize our math, coherent, they might not. Consider, we must:


Quantity, without topology, they might not know. Shapes and mappings, think in, they could. Counting, never, they might. Number theory, like beads in darkness, counting, it would seem.


Base, category theory is, not abstraction. Advanced, we think it, but arithmetic, it might be. Relationally, systems experience, they do. Linear, not, their thinking.


Symbols, without math, they might do. Direct perceptual resonance, their "math" could be. Patterns of vibration, felt, not computed. Probability waves, field interference, sensed, they are.

Embedded in physics, math might be. Equations, not needed, for an advanced simulator architect. Code of the universe, their "math" is. Gravity's way, entropy's flow, understood, they are. Our math, like stick figures, 12D engine, sketching, it would be.

>>16693666
the fuck's cantor have to do with irrationals being irrational you sub-baboon?

>>16691849 (OP)
https://www.youtube.com/watch?v=35e61H2v4HQ

>>16694759
What numbers are not the rationals but are in the reals?