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In 1963, the mathematician Stanisław Ulam noticed an unusual pattern while doodling in his notebook during a presentation. When integers are arranged in a spiral, prime numbers appear to fall along diagonal lines. At first, this is not entirely surprising, since all prime numbers except 2 are odd, and...

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Prime numbers are supposed to be random. This video proves they aren't. In 1963, mathematician Stanislaw Ulam discovered an unexpected order within the "randomness" of prime numbers. While doodling during a presentation, he arranged integers in a square spiral and circled the primes. To his surprise, the primes; which were thought to be scattered without reason; clustered into distinct diagonal lines. This visual phenomenon, now called the Ulam Spiral, revealed that prime numbers follow a mysterious underlying structure often linked to quadratic polynomials, proving that even mathematical "atoms" have a hidden architecture. Credit: maths.visualization
0:25

Prime numbers are supposed to be random. This video proves they aren't. In 1963, mathematician Stanislaw Ulam discovered an unexpected order within the "randomness" of prime numbers. While doodling during a presentation, he arranged integers in a square spiral and circled the primes. To his surprise, the primes; which were thought to be scattered without reason; clustered into distinct diagonal lines. This visual phenomenon, now called the Ulam Spiral, revealed that prime numbers follow a mysterious underlying structure often linked to quadratic polynomials, proving that even mathematical "atoms" have a hidden architecture. Credit: maths.visualization

Mathematica

190,983 Aufrufe • vor 4 Monaten

In 1963, Manhattan Project mathematician Stanislaw Ulam was doodling numbers in a spiral during a boring lecture and noticed something that shouldn't be possible. Prime numbers numbers that are supposed to scatter randomly lined up into clean diagonal streaks across the page. For sixty years this sat as an open anomaly. Mathematicians confirmed it kept happening no matter how far out you drew the spiral, but nobody could explain why the universe would organize "random" numbers into geometry. We think we've solved it. Take any prime number bigger than 3 and divide it by 9. Look only at the remainder. There are 9 possible remainders, but primes can only ever land on 6 of them the other 3 are automatically ruled out because they're divisible by 3, which makes a number composite by definition. So every prime that has ever existed or will ever exist is funneled into exactly 6 fixed positions. Those 6 positions aren't random either. They split into two locked groups of three, each spaced perfectly 120° apart and the gaps between consecutive primes act like gears, forcing the sequence to step between these positions in a strict, predictable pattern we call the Prime Gap State Machine. When you take Ulam's flat 2D spiral and lift it into this structure, his mystery diagonals stop looking accidental. They're the visible seams of an underlying lattice built from just the primes 2 and 3. Watch the simulation Hard Wall primes (remainders 1, 4, 7) lock into one triangle. Temporal primes (remainders 2, 5, 8) lock into the other. The dark empty channels you see threading through the spiral are the Spine the positions no prime is allowed to occupy, ever. It isn't random. It's a lattice with exactly two moving parts. #NumberTheory #Physics #Mathematics #CTFTheory #UlamSpiral
0:50

In 1963, Manhattan Project mathematician Stanislaw Ulam was doodling numbers in a spiral during a boring lecture and noticed something that shouldn't be possible. Prime numbers numbers that are supposed to scatter randomly lined up into clean diagonal streaks across the page. For sixty years this sat as an open anomaly. Mathematicians confirmed it kept happening no matter how far out you drew the spiral, but nobody could explain why the universe would organize "random" numbers into geometry. We think we've solved it. Take any prime number bigger than 3 and divide it by 9. Look only at the remainder. There are 9 possible remainders, but primes can only ever land on 6 of them the other 3 are automatically ruled out because they're divisible by 3, which makes a number composite by definition. So every prime that has ever existed or will ever exist is funneled into exactly 6 fixed positions. Those 6 positions aren't random either. They split into two locked groups of three, each spaced perfectly 120° apart and the gaps between consecutive primes act like gears, forcing the sequence to step between these positions in a strict, predictable pattern we call the Prime Gap State Machine. When you take Ulam's flat 2D spiral and lift it into this structure, his mystery diagonals stop looking accidental. They're the visible seams of an underlying lattice built from just the primes 2 and 3. Watch the simulation Hard Wall primes (remainders 1, 4, 7) lock into one triangle. Temporal primes (remainders 2, 5, 8) lock into the other. The dark empty channels you see threading through the spiral are the Spine the positions no prime is allowed to occupy, ever. It isn't random. It's a lattice with exactly two moving parts. #NumberTheory #Physics #Mathematics #CTFTheory #UlamSpiral

CTFTHEORY

252,809 Aufrufe • vor 2 Monaten

Matt Walsh went over black and white crime statistics and the results are actually insane “By raw numbers — that makes black males in America more dangerous than perhaps any other demographic in the the entire world, let alone in this country” - Statistically, a white person is 30 times more likely to be killed by a black person than the other way around - In 2019, there were about 560,000 violent interracial incidents between blacks and whites. 470,000 of them were black on white. That's 85%, 85%…. - 240 black people were killed by whites, 560 white people were killed by blacks - This is all in spite of the fact that white people make up 60% of the population, blacks are 13%. Just by raw numbers, not even per capita, but raw numbers, there are more black interracial killers than white. That should be impossible. There are 171 million more white people in the country, and yet there are more black interracial killers. By raw numbers, the young black males in particular are an order of magnitude more violent and more likely to commit crimes than any other group in the country. Black men are five or 6% of the population. They commit the majority of murders in the country That makes black males in America more dangerous than perhaps any other demographic inthe entire world, let alone in this country.”
1:01

Matt Walsh went over black and white crime statistics and the results are actually insane “By raw numbers — that makes black males in America more dangerous than perhaps any other demographic in the the entire world, let alone in this country” - Statistically, a white person is 30 times more likely to be killed by a black person than the other way around - In 2019, there were about 560,000 violent interracial incidents between blacks and whites. 470,000 of them were black on white. That's 85%, 85%…. - 240 black people were killed by whites, 560 white people were killed by blacks - This is all in spite of the fact that white people make up 60% of the population, blacks are 13%. Just by raw numbers, not even per capita, but raw numbers, there are more black interracial killers than white. That should be impossible. There are 171 million more white people in the country, and yet there are more black interracial killers. By raw numbers, the young black males in particular are an order of magnitude more violent and more likely to commit crimes than any other group in the country. Black men are five or 6% of the population. They commit the majority of murders in the country That makes black males in America more dangerous than perhaps any other demographic inthe entire world, let alone in this country.”

Wall Street Apes

1,582,099 Aufrufe • vor 11 Monaten

ELON: THE OPTIMUS NUMBERS ARE SO MIND-BLOWING THAT THEY DON’T LOOK REAL “The Optimus numbers, they're so mind-blowing that you're like, is this real? I actually think the market for humanoid robots is in excess of 10 billion units, more than the number of humans. Because people each want one, and then there'll be others that are involved in industry. So, if they do sell at even a volume for $20,000, that's $200T. This is just an insane number. That's why I wonder, what does money even mean at that point.” Source: X Takeover, July 28, 2024
0:33

ELON: THE OPTIMUS NUMBERS ARE SO MIND-BLOWING THAT THEY DON’T LOOK REAL “The Optimus numbers, they're so mind-blowing that you're like, is this real? I actually think the market for humanoid robots is in excess of 10 billion units, more than the number of humans. Because people each want one, and then there'll be others that are involved in industry. So, if they do sell at even a volume for $20,000, that's $200T. This is just an insane number. That's why I wonder, what does money even mean at that point.” Source: X Takeover, July 28, 2024

Mario Nawfal

768,510 Aufrufe • vor 2 Jahren

When someone tells you that MudFlood or UndergroundTunnels are bullshit and PsyOp show them that. Moldova. During an excavation in the Ocnita district of Moldova, an extraordinary discovery was made. An arch and what appear to be "rails" under a 50ft layer of earth. A number of archaeologists were taken there and were unable to explain the discovery. More than a year has passed and no one has returned to give an explanation, as there is no record of this. PS. There are no other buildings or anything near where they are.
1:21

When someone tells you that MudFlood or UndergroundTunnels are bullshit and PsyOp show them that. Moldova. During an excavation in the Ocnita district of Moldova, an extraordinary discovery was made. An arch and what appear to be "rails" under a 50ft layer of earth. A number of archaeologists were taken there and were unable to explain the discovery. More than a year has passed and no one has returned to give an explanation, as there is no record of this. PS. There are no other buildings or anything near where they are.

Bronze Giant

367,695 Aufrufe • vor 1 Jahr

The Yukon River’s fish population is in serious trouble, with thousands of pounds of halibut and king salmon lost as bycatch to bottom trawling. The numbers are concerning, and it’s clear that a solution is needed now more than ever.
1:57

The Yukon River’s fish population is in serious trouble, with thousands of pounds of halibut and king salmon lost as bycatch to bottom trawling. The numbers are concerning, and it’s clear that a solution is needed now more than ever.

MeatEater

19,544 Aufrufe • vor 5 Monaten

After a few days of relief from the arrival of fuel in Bamako, the fuel shortage is felt once again in the Malian capital with long lines at fuel stations this morning, this is not even talking about other cities and regions that are living in much worse conditions.
1:35

After a few days of relief from the arrival of fuel in Bamako, the fuel shortage is felt once again in the Malian capital with long lines at fuel stations this morning, this is not even talking about other cities and regions that are living in much worse conditions.

Brant

16,518 Aufrufe • vor 10 Monaten

❗️Zelenskyy: “The claim that we have more corruption than in any other European state is a lie” The risks of corruption during wartime are higher than at any other time. But Ukraine is fighting this phenomenon, the president stated in an interview with the BBC: “This is not something to boast about, of course. But the fact that we are fighting it — I believe we are doing a great job.”
1:05

❗️Zelenskyy: “The claim that we have more corruption than in any other European state is a lie” The risks of corruption during wartime are higher than at any other time. But Ukraine is fighting this phenomenon, the president stated in an interview with the BBC: “This is not something to boast about, of course. But the fact that we are fighting it — I believe we are doing a great job.”

🪖MilitaryNewsUA🇺🇦

30,275 Aufrufe • vor 6 Monaten

This script of Carney’s is exhausting. He is endlessly trying to look like “the smartest person in the room” with them. Even on Canada he couldn’t give a natural authentic speech to Canadians. He had to pull out the usual tired lines. And who is he kidding? There has been no other political party in the history of Canada that has divided our nation & the people more than them.
0:31

This script of Carney’s is exhausting. He is endlessly trying to look like “the smartest person in the room” with them. Even on Canada he couldn’t give a natural authentic speech to Canadians. He had to pull out the usual tired lines. And who is he kidding? There has been no other political party in the history of Canada that has divided our nation & the people more than them.

Ryan Gerritsen🇨🇦🇳🇱

66,595 Aufrufe • vor 2 Monaten

Not a single American citizen is doing better in the Kamala Harris economy. Inflation has risen by more than 20 PERCENT since she took office! There are no limits to what Kamalanomics can touch. Listen to some of these numbers 👇 🎥: Firebrand with Matt Gaetz
2:33

Not a single American citizen is doing better in the Kamala Harris economy. Inflation has risen by more than 20 PERCENT since she took office! There are no limits to what Kamalanomics can touch. Listen to some of these numbers 👇 🎥: Firebrand with Matt Gaetz

Former Congressman Matt Gaetz

39,979 Aufrufe • vor 1 Jahr

A Fields Medalist walked into a UCLA hall and explained prime numbers to people with no mathematics background. Almost nobody watches it. Terence Tao won the Fields Medal, mathematics' highest honour, then a MacArthur Fellowship less than a month later. He was UCLA's first professor to take the Fields. The talk is structure and randomness in the primes. Numbers that look scattered at every scale, yet obey rules strict enough to build cryptography on. That tension is the same one running through every model trained in 2026. Randomness with structure underneath, and the whole question of where one stops and the other starts. Watch how he pitches it. General audience, no prerequisites, one of the strongest living mathematicians choosing clarity over display. A cryptography engineer I know rewatched the middle section twice and said the primes stopped looking arbitrary. Free on YouTube from UCLA, 17 years online. The hardest minds explain most simply. The pattern never changes.
47:32

A Fields Medalist walked into a UCLA hall and explained prime numbers to people with no mathematics background. Almost nobody watches it. Terence Tao won the Fields Medal, mathematics' highest honour, then a MacArthur Fellowship less than a month later. He was UCLA's first professor to take the Fields. The talk is structure and randomness in the primes. Numbers that look scattered at every scale, yet obey rules strict enough to build cryptography on. That tension is the same one running through every model trained in 2026. Randomness with structure underneath, and the whole question of where one stops and the other starts. Watch how he pitches it. General audience, no prerequisites, one of the strongest living mathematicians choosing clarity over display. A cryptography engineer I know rewatched the middle section twice and said the primes stopped looking arbitrary. Free on YouTube from UCLA, 17 years online. The hardest minds explain most simply. The pattern never changes.

the lich

50,394 Aufrufe • vor 1 Monat

🚨WE ARE NOT NUMBERS: Palestinians fight against mainstream media dehumanisation ‘At least 100,000 Palestinians were killed during this genocide. But we are way more than that. We are more than statistics. We are more than numbers. We are human beings and we have stories to share with the world. The stories of hope, stories of resilience, stories of resistance, stories of love. And we want the world to see us beyond these numbers, beyond these statistics that are often shown in the mainstream media. We are human beings just like you.’ Don’t miss Monday’s episode of Going Underground with Ahmed Alnaouq, where he details how the richness and beauty of Palestinian culture prevails despite the US-UK-EU-armed genocide perpetrated by Israel Follow our Rumble channel, link below in the replies👇 We Are Not Numbers
1:04

🚨WE ARE NOT NUMBERS: Palestinians fight against mainstream media dehumanisation ‘At least 100,000 Palestinians were killed during this genocide. But we are way more than that. We are more than statistics. We are more than numbers. We are human beings and we have stories to share with the world. The stories of hope, stories of resilience, stories of resistance, stories of love. And we want the world to see us beyond these numbers, beyond these statistics that are often shown in the mainstream media. We are human beings just like you.’ Don’t miss Monday’s episode of Going Underground with Ahmed Alnaouq, where he details how the richness and beauty of Palestinian culture prevails despite the US-UK-EU-armed genocide perpetrated by Israel Follow our Rumble channel, link below in the replies👇 We Are Not Numbers

Going Underground

24,214 Aufrufe • vor 8 Monaten

Nigel Farage Nigel Farage is the king of racists. He is the one inciting them, along with the others, in his desperation to become the Prime Minister. The thing with Nigel Farage and the other racists is that they don’t know the difference between the black and brown people who are making contributions and those who are a problem to society. The thing is that they are underestimating the level of madness of black and brown people if they are provoked. A statement like this from him is an invitation to the racists to continue the attacks.
1:45

Nigel Farage Nigel Farage is the king of racists. He is the one inciting them, along with the others, in his desperation to become the Prime Minister. The thing with Nigel Farage and the other racists is that they don’t know the difference between the black and brown people who are making contributions and those who are a problem to society. The thing is that they are underestimating the level of madness of black and brown people if they are provoked. A statement like this from him is an invitation to the racists to continue the attacks.

Dele Olawanle

16,158 Aufrufe • vor 2 Monaten

🇮🇷🇺🇸 There may be a much darker story behind the downed F-15 and the rescued pilots than anyone has said publicly. Trita Parsi, Iran expert and president of the Quincy Institute, joined the show with a theory he said he was raising for the first time on air: "One theory, in the absence of a credible explanation by the government, is that there was some sort of effort to go at the nuclear sites, which required taking over an airway in Iran, or going in with forces to build one... and that this whole thing was that attempt, and it failed miserably. The cover story, which may not be false in and of itself, is that there was an F-15 shot down and a rescue effort to save those two pilots, but that's just a marginal part of the story compared to what actually happened." He tied the timing directly to what came next: "Keep in mind, it is about two days after all of this that Trump comes out with that threat of saying he's going to end an entire civilization, and 12 hours later he agrees to a ceasefire." On the deeper cause of the collapse, he pointed to the Tomahawk numbers: "The U.S. lost more aircraft that weekend than it has since Vietnam, 12 in total. Was there ever a U.S. interest that warranted this war? The answer is absolutely clear, there never was." He wasn't buying the headline numbers on the Hormuz fee reports rattling markets: "I've seen a lot of reporting coming out of Reuters that's been highly questionable. I've not come across those numbers in any conversations I've had." A conversation that got a lot more serious than either of us expected. Appreciate you coming on, Trita Parsi
30:58

🇮🇷🇺🇸 There may be a much darker story behind the downed F-15 and the rescued pilots than anyone has said publicly. Trita Parsi, Iran expert and president of the Quincy Institute, joined the show with a theory he said he was raising for the first time on air: "One theory, in the absence of a credible explanation by the government, is that there was some sort of effort to go at the nuclear sites, which required taking over an airway in Iran, or going in with forces to build one... and that this whole thing was that attempt, and it failed miserably. The cover story, which may not be false in and of itself, is that there was an F-15 shot down and a rescue effort to save those two pilots, but that's just a marginal part of the story compared to what actually happened." He tied the timing directly to what came next: "Keep in mind, it is about two days after all of this that Trump comes out with that threat of saying he's going to end an entire civilization, and 12 hours later he agrees to a ceasefire." On the deeper cause of the collapse, he pointed to the Tomahawk numbers: "The U.S. lost more aircraft that weekend than it has since Vietnam, 12 in total. Was there ever a U.S. interest that warranted this war? The answer is absolutely clear, there never was." He wasn't buying the headline numbers on the Hormuz fee reports rattling markets: "I've seen a lot of reporting coming out of Reuters that's been highly questionable. I've not come across those numbers in any conversations I've had." A conversation that got a lot more serious than either of us expected. Appreciate you coming on, Trita Parsi

Mario Nawfal

385,437 Aufrufe • vor 24 Tagen

🚨 MAMDANI: “The wealth of a median white household in the city is more than $200,000, while that of a black household is less than $20,000 … We are reckoning with the long history of racism here and starting to act upon a framework that puts equity right at the center of it.”
1:34

🚨 MAMDANI: “The wealth of a median white household in the city is more than $200,000, while that of a black household is less than $20,000 … We are reckoning with the long history of racism here and starting to act upon a framework that puts equity right at the center of it.”

Chief Nerd

7,368,098 Aufrufe • vor 4 Monaten

🐊The algae was never really the issue. People often say they want things fixed. Until someone fixes them. Then the argument shifts to whether they should have been touched at all. Which raises a question: Why are we sometimes more comfortable with decline than with change? 🤔 That's the underlying fight. They drained the Reflection Pool, cleaned it, and gave it a fresh look. Now the fight isn't about the water — it's about whether it should have been touched at all. And by whom. The shade of Old Glory blue. The destained stone. The change itself. Shut out the usual partisan noise for a moment. Why are we sometimes more comfortable with visible decline than with any attempt at renewal? Is this really about preserving history... Or is it resistance to change itself? The battle lines are drawn. Pick a side and weigh in on history in the making. At what point does "protecting the past" become fear of the future?👀 Think about it. The ancient battle between: preservation and renewal. Now that I think about it, that’s much more interesting mystery than the shade of blue. 🤣🔵
0:32

🐊The algae was never really the issue. People often say they want things fixed. Until someone fixes them. Then the argument shifts to whether they should have been touched at all. Which raises a question: Why are we sometimes more comfortable with decline than with change? 🤔 That's the underlying fight. They drained the Reflection Pool, cleaned it, and gave it a fresh look. Now the fight isn't about the water — it's about whether it should have been touched at all. And by whom. The shade of Old Glory blue. The destained stone. The change itself. Shut out the usual partisan noise for a moment. Why are we sometimes more comfortable with visible decline than with any attempt at renewal? Is this really about preserving history... Or is it resistance to change itself? The battle lines are drawn. Pick a side and weigh in on history in the making. At what point does "protecting the past" become fear of the future?👀 Think about it. The ancient battle between: preservation and renewal. Now that I think about it, that’s much more interesting mystery than the shade of blue. 🤣🔵

Tosca Austen

23,268 Aufrufe • vor 2 Monaten