Prime Spirals

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    Prime Spirals - Numberphile

    9:06

    Prime numbers, Ulam Spirals and other cool numbery stuff with Dr James Grime.
    James Clewett on spirals at:

    And more to come soon...

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    Videos by Brady Haran

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    * subscribing to numberphile does not really change your physical appearance!

    And golden line in this context was made up by Brady!

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    Ulam Spiral Visualization - The Pattern of Prime Numbers

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    The Ulam spiral is a way of visualizing the distribution of prime numbers (in blue). This pattern is one the great unsolved mysteries in mathematics and has important consequences in Cryptography.

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    Prime Spirals

    15:35

    Inspired by the Prime Spiral video with Dr James Grime on Numberphile. I created this in Lightwave 3D and compiled it in After Effects. Explanation of what is going on is in the video itself. It basically shows how Prime numbers are distributed when varying an Archimedean spiral... I hope. I'm not really a mathematician.

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    Prime Spirals the 8 Adoni Prime Spirals

    2:46

    The 8 Prime Spirals or 8 Adoni Prime Spirals were discovered in 1995 by Dr. Sol Adoni. The first prime spiral was discovered in 1963, the Ulam Spiral. All prime numbers over 5 exist on one of the 8 Adoni Prime Spirals. PROOF that Primes are not random. In 2012 the Prime Spirals were put into PyPrimes with other Prime Algorithms. The Prime Spirals beat all prime algorithms including the sieve of Eratosthenes.

    Dr. Sol Adoni called the paper in 1995 the Ennisa Prime Formula and he described the 30Mod Algorithm with 8 prime distribution channels or 8 prime prime spirals in 1995.

    Dr. Sol Adoni has created Helix Equations and HelixQ a new computer language to run complex dimensional math equations such as the 8 Prime Spirals. The 8 Adoni Spirals are also called the Sollog Primes.

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    Prime Spiral Beta

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    There are some prime numbers and some other things going on here... still in development / sorry for the quality.

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    41 and more Ulams Spiral - Numberphile

    9:50

    More on prime numbers and Ulam's Spiral - this time focusing on 41 and Arthur C. Clarke.

    This video features Dr James Clewett. More Clewett videos at:

    See our other Ulam Spiral video at:
    And more to come soon...

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    Numberphile on Facebook:
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    Videos by Brady Haran
    A run-down of Brady's channels:

    The book discussed is The Garden of Rama.

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    Prime Spiral: Sieve of Eratosthenes

    1:43

    Video shows the Sieve of Eratosthenes in action.

    All numbers are first assumed to be prime - drawn in black.
    Then all those with factors are systematically eliminated.

    In the end...
    Prime numbers, and one, are shown black.
    Numbers with one prime factor are shown white.
    Numbers with two prime factor are shown blue.
    Numbers with three prime factor are shown dark red.
    Numbers with four prime factor are shown greeny yellow.

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    Golden Ratio And Prime Number Spirals - An Amazing Pattern

    5:48

    I showed you how to make the seed arrangement using the golden ratio here:


    If you remove all of the seeds whose index numbers are NOT prime numbers, the pattern that remains is really friggin' cool.

    If you have any more information on this than what I mention in the video please let me know.

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    Prime numbers on an archimedes spiral.

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    Here is the MATLAB script I used to create this:

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    :) On Prime Spirals and Gravitational Lensing, Etc.

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    notes at night

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    Gaussian Prime Spirals

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    The Wolfram Demonstrations Project contains thousands of free interactive visualizations, with new entries added daily.

    Start a loop with a point having integer coordinates in the complex plane (called a Gaussian integer) and trace a path as follows: ? Move right until a Gaussian prime p is encountered, then turn left 90. ? Continue, always moving straight in the curren...

    Contributed by: Joseph O'Rourke and Stan Wagon

    Audio created with WolframTones:

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    The Ulam Prime Spiral

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    The Wolfram Demonstrations Project contains thousands of free interactive visualizations, with new entries added daily.

    Inspired by the square spiral of Stanislaw Ulam, the prime numbers are plotted on a spiral number line. Each prime on the wound line is marked with a dot. Adjusting the tightness of the winding and the density allows different patterns to emerge.

    Contributed by: Christopher Skiscim
    Based on a program by: Greg Keogh

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    Prime numbers: A PATTERN!

    2:19

    The graph at the end of this video shows an impressive truth about prime numbers (calculated out to the first 10 million primes, roughly). This pattern is solid, unchanging, and beautiful truth about prime numbers that may help us break the code of prime numbers and the fundamental properties of our mathematical system

    Cool stuff on Ulam Spiral:

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    Super Prime Algorithm by Dr. Sol Adoni 30 Mod Prime Algorithm 8 Prime Spirals

    13:23



    Super Prime Algorithm by Dr. Sol Adoni 30 Mod Prime Algorithm 8 Prime Spirals.

    Learn about the 8 Prime Spirals 30 Mod Prime Algorithm that creates SUPER PRIMES

    See how the NSA hacked ECC Crypto and Bitcoin

    NSA Snowden Documents Wiki Leaks

    Backdoor for ECC Encryption

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    Prime Number Theorem: the density of primes

    6:46

    The Prime Number Theorem is explained. The natural logarithm is introduced using the logarithmic spiral to give you a better feeling for this type of growth. These come together to give us an intuitive feeling AND formula for how many primes exist as we look towards infinity.

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    Photoshop Tutorial #3 - Prime Spiral

    3:53

    - Be sure to follow me!

    ALEX'S CHANNEL:
    In this Photoshop tutorial, I give you a detailed explanation on how to create a Prime Spiral effect. If you have any questions, please feel free to leave it in the comment section below, and I'll be more than happy to answer. And also feel free to subscribe if you found this helpful :) More to come!

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    Polar Prime Spiral

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    The Wolfram Demonstrations Project contains thousands of free interactive visualizations, with new entries added daily.

    The integers can be arranged on a spiral while keeping square numbers on the positive x axis. Prime numbers concentrate on trajectories of quadratic functions like x^2 + x + 41. The green line shows the sequence generated by x^2 + a x + b. A blue curve ...

    Contributed by: Michael Schreiber

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    Prime Number Logarithmic Spiral

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    Spiral generated in the same manner as the Golden Spiral, but instead of using the Fibonacci sequence, the sequence of all prime numbers less than 1000 is plotted

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    TFP AMV - Optimus Prime Spiral

    3:11

    The more I listened to this song, the more it reminded me of Optimus. And so my first Transformers AMV is for my favorite Autobot. c:

    Note: The full song is actually almost eight minutes long; I edited it to use only the third verse, chorus, and bridge.

    Credits:

    Audio:
    Song: Spiral (ft. Beth Bullock)
    Artist: Andy Hunter
    Album: Glow

    Video:
    Transformers Prime
    Transformers: Fall of cybertron
    The Transformers (G1)
    The Transformers: The Movie (G1)
    Beast Wars: Transformers

    Transformers (c) Hasbro

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    素数のハニカム螺旋 - prime spiral on honeycomb grid -

    2:14

    素数列を先頭からヘクスの升に中心から伸びていくように並べてみました。

    詳しくはこちら。



    drawing prime number sequence on honeycomb grid with growing from the center of the grid.

    see more.

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    Day & Night News - Prime - Spiral Of Aids - Part 1

    13:01

    Follow Day & Night News on Facebook

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    Prime Algorithm 30 Mod Prime Algorithm by Dr. Sol Adoni

    6:09



    Prime Algorithm 30 Mod Prime Algorithm by Dr. Sol Adoni

    Video by Dr. Sol Adoni the mathematician that discovered the 30Mod Prime Algorithm or 8 Prime Spirals also known as Adoni Prime Spirals in the 1990's.

    Learn about the fastest prime generator as tested against prime algorithms by PyPrimes.

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    How the NSA Hacked ECC CRYPTO and BITCOIN

    13:55

    How the NSA Hacked ECC CRYPTO and BITCOIN



    The special relationships between primes is how the NSA cooked seed keys for ECC crypto. Since 1995 the NSA has known that all primes exist on only 8 Prime Spirals and the relationships between numbers on these spirals is special and that relationship allows seed keys for ECC to be backdoored or cooked.

    Wiki and NSA are actively banning any info about the PRIME ALGORITHM or 8 Prime Spirals as well as any info about Dr. Sol Adoni the mathematician that discovered them in 1995.

    Wiki is under obvious NSA control and banning any information about the PRIME ALGORIRTHM

    They have deleted the 8 PRIMES SPIRALS page and banned all users who have tried to put information about how the NSA used the 8 Prime Spirals to backdoor ECC Crypto.

    Look for yourself



    They even deleted a page about the mathematician that discovered it in 1995



    They have banned anyone posting positive information about the original user that created the page. Go create a wiki account and post on the page below something positive, you will be accused of being a sock puppet of that user by NSA Mods that control wiki.

    Try it, here is the original user that got banned and all positive posts on his page get banned too.



    You can view info about this major new discovery for prime theory at

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    Ulam Spirals

    4:00

    Ulam's Spirals are a pretty and potentially mathematically significant way of viewing patterns among the prime numbers. The idea is to start with any natural number at a point on a square grid and proceed in a vaguely helical manner; assign each subsequent square the next number, and color squares according to whether or not their numbers are prime.

    The first half of this video demonstrates this construction on a 31 x 31 grid starting with 1 at the center (green squares are prime, blue squares aren't). In the second half (once my regrettably finite grid is filled in), each subsequent frame displays the Ulam's Spiral with a central initial value 1 more than the frame before. What follows, in addition to a nice primes-in-a-whirlpool effect, is a visual manifestation of the apparent order underlying that venerable mathematical quandary of the distribution of prime numbers.

    Images created using PLT-Racket. Much love to lambda.

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    Doodling in Math: Spirals, Fibonacci, and Being a Plant 1 of 3

    5:55

    Part 2:
    Part 3:
    Re: Pineapple under the Sea:

    My personal website, which you might like:

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    Aikatsu! Music Video Prism Spiral ♪

    1:53

    Lagu cool dan keren banget yang dipersembahkan oleh Aoi☆
    Lihat juga premium dress warna biru Aoi yang charming♪

    Cek juga info terkini Aikatsu! Indonesia di website resmi↓

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    Day & Night News - Prime - Spiral Of Aids - Part 2

    14:07

    Follow Day & Night News on Facebook

    Visit Day & Night News for latest news

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    Prime Number Fractal on the Ulam Spiral

    2:07

    The Ulam Spril was publicized by Stanislaw Ulam in 1963. The spiral can be generated using the sieve of Eratosthenes to etch out the prime numbers. This animation depicts 123 iterations of the sieve. Initially, the Ulam Spiral is drawn and the primes are:

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    Prime Number Logarithmic Spiral

    2:39

    A short video to increase interest in solving Prime numbers. And get good math ideas in a few minutes.

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    Prime Number Theorem

    6:46

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    spirals 8000

    4:27

    The fractal set of x*ln(x), the generating function for entropy and the prime numbers, generated by laying a lattice onto the function (implemented by decimating it) with values between 1 and 8 and a step size of 0.001. Copyright (c) John Schutkeker, 2016, Royal Oak, MI.

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    1 and Prime Numbers Numberphile

    10:00

    Is 1 a prime number? Apparently not. Dr James Grime explains. Website: Numberphile on Facebook: .

    Matt Parker on the latest Mersenne Prime to take the title of world's biggest prime. He had it printed! More from this interview very soon, including details of how .

    Prime numbers, Ulam Spirals and other cool numbery stuff with Dr James Grime. James Clewett on spirals at: And more to come .

    Banks, Facebook, Twitter and Google use epic numbers - based on prime factors - to keep our Internet secrets. This is RSA public-key encryption. This video .

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    Ulam Spiral

    1:04

    Illustration of the Ulam spiral, with tink sounds for the composite numbers and sosumi sounds for 1 and the primes.

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    Prime Number Sieve and the Ulam Spiral

    2:06

    The Ulam Spril was publicized by Stanislaw Ulam in 1963. The spiral can be generated using the sieve of Eratosthenes to etch out the prime numbers. This animation depicts 123 iterations of the sieve. Initially, the Ulam Spiral is drawn and the primes are colored dark red. Those primes that have a rank, the order that the prime appears in the prime number sequence, that is also prime are colored yellow, and those that have a rank that is a prime with a rank that is also prime are colored blue. The sieve begins with 2 and 'evaporates' every other cell. When a cell is evaporated, the cells ahead of it in the spiral shift back to fill the vacant space but they retain their original value for future division tests. The next iteration evaporates those cells divisible by 3, and then 5, 7 and so on. Red cells(primes) change to black when they are less than p^2. Thus, the area of the inner square is π(x)^2 (the prime counting function). What is left after all composites have been evaporated and the newly created black cells are interperted as composites is an exact replica of what we started with, only shifted in the hierarchy of primeness so to speak. The path of a couple of prime points is traced as they move to their final destination. Music by: cloudtalk, Austin Texas.

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    اعداد اولیه و فنر اولم Prime Numbers and Ulams Spiral

    8:16

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    3D Ulam Spiral

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    Ulam spiral with prime numbers projected in the z-axis to their values.

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    Doodling in Math: Sick Number Games

    5:28

    I don't even know if this makes sense. Boo cold.
    Try playing with this:



    My personal website, which you might like:

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    Gods Fingerprint→ The Fibonacci Sequence - Golden Ratio and The Fractal Nature of Reality

    13:55

    Gods Fingerprint→ The Fibonacci Sequence - Golden Ratio and The Fractal Nature of Reality

    Fibonacci numbers are of interest to biologists and physicists because they are frequently observed in various natural objects and phenomena. The branching patterns in trees and leaves, for example, and the distribution of seeds in a raspberry are based on Fibonacci numbers.

    A Sanskrit grammarian, Pingala, is credited with the first mention of the sequence of numbers, sometime between the fifth century B.C. and the second or third century A.D. Since Fibonacci introduced the series to Western civilization, it has had a high profile from time to time. Recently, in The Da Vinci Code , for example, the Fibonacci sequence is part of an important clue.


    Video content mirrored from:



    Fractal Enlightenment


    How Fractals Work


    What Is the Fibonacci Sequence and Why is it Famous?


    The magic of Fibonacci numbers


    What is the Golden Ratio?


    15 Uncanny Examples of the Golden Ratio in Nature


    The Golden Spiral of Consciousness: Inspiration & Enlightenment through Art & Science


    Fibonacci alignments of the Azores Pyramid & submerged city of Poseida

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    Ulam Spiral w/ a Twist

    2:49

    A pattern arranged like the Ulam spiral only instead of a dot for every prime, we use different sized circles to represent the number of divisors. Notice the pattern is almost exactly like the classic Ulam spiral only the mystery lines are way more pronounced.

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    素数銀河 Prime numbers formed a line on the spiral neatly.

    1:00

    世界初の素数分布表だと思います。まるで銀河系の渦巻きのようです。(

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    Prime Numbers, the Ulam Spiral, and the Flaming Lips.

    1:55

    The Ulam Spril was publicized by Stanislaw Ulam in 1963. The spiral can be generated using the sieve of Eratosthenes to etch out the prime numbers. This animation depicts 51 iterations of the sieve. Initially, each pixel is blue.With each successive iteration, the composite numbers (black) are etched from the blue background leaving the Ulam Spiral. This square is 240 by 240. White pixels indicate the composites identified during the current iteration. Red pixels are composites not yet discovered by the sieve. After 51 iterations the rendering is only gauranteed to be exact up to 233^2. Even so, the fraction (total number of red pixels/total number of pixels) decreases dramatically with the first few iterations.

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    An Ulam Spiral

    7:33

    Simplicity making complexity. In one word: Emergence.
    Ulam Spiral is when you mark the integers on a grid, in a square spiral pattern, and then retain only prime numbers.
    For this variation, I retained multiples of 1, then multiples of 2, etc.
    I was inspired by

    and

    from the EmergentDesign channel.
    What I wondered was the relation between two consecutive patterns, i.e. what happens between the paterns for the multiples of 2 and 3, 3 and 4, etc.
    So I imagined that each dot was moving. The first dot moving from 1 to 2 to 3..., the second one from 2 to 4 to 6..., the 3rd from 3 to 6 to 9... etc. The result is this animation where you can see the transitions between each of the multiples.
    Enjoy.
    Animation made with FMS Logo.

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    Long Lost Nikola Tesla Drawings Reveal Map To Multiplication

    4:08

    A recently discovered set of original Nikola Tesla drawings reveal a map to multiplication that contains all numbers in a simple to use system. The drawings were discovered at an antique shop in central Phoenix Arizona by local artist, Abe Zucca. They are believed to have been created during the last years of Tesla’s Free Energy lab, Wardenclyffe. The manuscript is thought to contain many solutions to unanswered questions about mathematics.

    The Sketches were hidden in a small trunk with numerous other drawings and manuscripts ranging from hand-held technological devices to free-energy systems, many with notes scrawled all over them. Some of the pieces are already familiar to the public, but a few others are not. Most notably is the Map to Multiplication or the Math Spiral. Zucca made a few copies and showed the drawings around to different thinkers, dreamers, and mathematicians.

    A few days later a Local High School Mathematics Instructor, Joey Grether, had been working on deciphering the system and had a few breakthroughs. Grether suggests that the Spiral not only explores Multiplication as an interwoven web, but that it, “offers a comprehensive visual understanding of how all numbers are self-organized into 12 positions of composability.”

    “This device allows us to see numbers as patterns, the formation of prime numbers, twin primes, Highly composite numbers, multiplication and division, as well as few other systems, I imagine, that are yet to be discovered.”

    The diagram itself is very intuitive, allowing students to see how numbers all work together based on a spiral with 12 positions. 12, or 12x (multiples of 12) is the most highly composite system, which is why we have 12 months in a year, 12 inches in a foot, 24 hours in a day, etc. 12 can be divided by 2, 3, 4, and 6. So can all multiples of 12. For every 12 numbers there is a chance of 4 numbers being prime. They happen to fall in positions (think clock positions) 5, 7, 11, and 1.

    Tesla is known for the quote “If you only knew the magnificence of the 3, 6 and 9, then you would have the key to the universe.” It turns out that when the device is examined, the digital roots of the numbers in positions 3, 6, 9, and 12 constantly repeat the same sequence 3, 6, 9! Is this what Tesla was referring too? The self-organization of numbers and their digital roots?

    Its hard to say, but Grether seems to think so. “This breakthrough is phenomenal. If we could get students all over the globe to use this technique, to play with it, and help figure out how to use it, we could overcome our cultural aversion to Mathematics. Instead of memorizing the multiplication table, we could learn the positions of numbers and have a better understanding of how they work.”

    Juan Zapata, One of Mr. G’s students believes so as well… “I used to say I’m bad at Math… cause that's what everyone says, but now, I’m like, dude, this is too easy.”

    Theres one other fact about the Tesla Spiral that make it interesting. The diagram is dated 12/12/12! 1912. Grether and his students want to turn December 12 into a national holiday. So grab a 12 pack, get a dozen donuts, and celebrate the power of 12x.

    Source: cbsnews.com.co

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    Ulam Spiral

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    This ulam spiral is viewed as a surface such that -1 is a prime and 0 is a composite number. Then, I diffuse the area as time goes on to show the structure of the shape of prime numbers on a more grand scale.

    In essense, it is a rough map of the density of an ulam spiral. Each prime is 1, each composite is 0 (inverted to give a better view). It shows us bizarrely enough that the curve isn't random. There density function doesn't rapidly flatten to a gravity-well like structure. Instead, it forms a bizarre map of interestingly varied density, likely because prime numbers have a loose pattern about them, which can be seen, in beautiful visualization, here.

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    E8 Lie Group and the distribution of prime numbers

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    Prime numbers are distributed in 8
    Channels across the E8, following a spiral pattern.
    These channels also show the twin primes.

    more at

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    Tony Hawk Skates First Downward Spiral Loop - BTS

    4:30

    Tony Hawk Skates First Downward Spiral Loop:
    A behind the scenes look at the idea, the build and the stunt.
    We talked with Tony about an idea of creating a Helix shaped ramp that could be skated from top to bottom and he was excited but also a little nervous. To make it all the way around and out, he needed a combination of the right speed, centrifugal force and friction to keep him on the vertical wall. Thanks to Sony for funding this dream and the help of Sony Action Cameras to capture the event. Skateboarding is fun.

    Music by:
    No Pilot
    Discharge


    NJ Whitey
    Somebody Grab the Wheel


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    Fibonacci Spiral using Java 3D

    34

    Prime numbers of the sequence are colored in red.

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    EBARON DRIPPER SPIRAL !!! PRIME IMPRESSIONI!!!

    16:24

    Prime impressioni ebaron dripper spiral!!! BF

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