Kommentare
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Does this have any implications for EC cryptography?
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Primes are literally placed on the top of randomness hierarchy, but as in the video above, prime spirals, depict subtle and beautiful occurrence of prime, doesn't it raises the question, is there really anything like random. Does every random thing at it's core can be explained with geometry?
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2 is not a prime
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The spiral contains all of the even numbers, and surely that is contributing to the pattern regularity-- the evens will never be prime. Even numbers are interacting with the regularity of the spiral. What does the Ulam spiral of odd numbers look like?
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To me it looks like doing a square spiral puts the odd numbers at intervals of 45 degrees. That's why primes appear on the diagonals because primes are all odd numbers !!
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Guys I think I found the pattern for prime number. All primes are old numbers. I'll take my fields medal now
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57 isn't prime but it's quite a low composite, being two primes multiplied. Would the pattern of being either prime or low composite continue, that seems to be the case.
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What would this look like in a 3D cube?
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you wrote 16 where 14 is suppose to be
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Why is Ian Gallagher teaching me math.
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y dun u write the #s in clockwise??
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but u can just circle numbers of any series in a square spiral and say 'ooh, they line up on diagonals!'
someone pls explain why this particular one is special -
Cicada boys
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If searching for primes is done by looking at lines like these, doesn't that mean people searching for large primes this way could skip over prime numbers? Just seemed odd when it struck me, if that happened, the next prime discovered isn't necessarily the largest because someone could be looking way ahead on a high density line or spiral.
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I've seen it demonstrated before that as a system moves from minimal to maximal entropy, the information content begins as minimal (when the system is converged to a single point), maximizes (when the system is distributed, but still clumped in some areas), and finally approaches a minimal amount once again (when the information is tremendously and evenly spread out).
Could there be some relationship between that point of maximal information, and prime numbers? In many visualizations of primes it always seems like the patterns which emerge are the ideal balance of information and noise. -
I'm curious what happens if you curve fit these prime lines/spirals and then look at the error distribution. Is it Gaussian?
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james made a vi hart reference
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I wish so much that later in the math world, something like this will be found but instead of diagonal lines, it's just one massive middle finger.
9m 6sLänge
Prime numbers, Ulam Spirals and other cool numbery stuff with Dr James Grime. James Clewett on spirals at: http://youtu.be/3K-12i0jclM And more to come soon... Website: http://www.numberphile.com/ Numberphile on Facebook: http://www.facebook.com/numberphile Numberphile tweets: https://twitter.com/numberphile Google Plus: http://bit.ly/numberGplus Tumblr: http://numberphile.tumblr.com Videos by Brady Haran A run-down of Brady's channels: http://bit.ly/bradychannels * subscribing to numberphile does not really change your physical appearance! And "golden line" in this context was made up by Brady!