If you imagine eliminating all the numbers that can't be primes from the spiral, you'd start by erasing all the numbers divisible by two (apart from two itself, of course).
Already, you've got a bunch of regular lines and holes. You get more after you erase all the numbers divisible by three, and so on. Of course it's going to look like it has a pattern, because it *does* have a pattern.
Just not one that tells us anything more about the primes than we already know.
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Anonymous2010-06-04 21:26
>>12
You got it backward. You start with a lot of regular lines and holes, but they get less regular as you proceed. That's why the Ulam spiral looks the most regular near the center, and gets more chaotic as you move out.
Here's a big one Xarn did: http://cairnarvon.rotahall.org/pics/ulamspiral.png
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Anonymous2010-06-05 11:37
>>13
At various levels of zoom it appears to be quite regular.
if you were to have a pattern out of prime numbers, how would you have the numbering system be ordered? Is there a number missing? Is there too many numbers when it comes to 10-base, 8-base, 16-base, or 2-base? What is your hypothesis?
:/
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Anonymous2010-06-10 6:57
Here's some enlightenment for you. Even if someone seemed to tell everything truthfully, it is lacking in entirety. However, to say that what someone has said to be true is actually wrong is a flagrant statement of the same principle in effect. This person too is lacking truth in entirety.
It wouldn't matter how far you go, there is always something more to learn about what you are talking about. It's when you don't understand in full is when you need to look deeper for something you've never known before. Of course, if you don't know what it is, would you see it?
Philosophy and the principle of uncertainty both point to this fact of our limited perceivable point of views. Only in a collective could the pieces begin to fall into place. Knowing anything in part is not knowing it fully and to not know it fully is to not know anything about it at all....yet we still proclaim to know...what kind of person is this that proclaims to know...and yet...???
"Now we see but a poor reflection as in a mirror; then we shall see face to face. Now I know in part; then I shall know fully, even as I am fully known." -1 Corinthians 13:12
The only way that intelligence and knowledge should be pervade by those who do not know fully is in vague terms to be inclusive of the new things to be learned as then not to exclude them and thereby be ignorant of them...nor to become ignorant of our own ignorance. Deny and ignore this at your own peril.
:/
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Anonymous2010-06-10 18:59
There are still patterns except at few zoom levels where its chaotic.
Prime numbers SHOULD have patterns, since you remove lines of 2's,3's,5's,7's...multiples from the pic it would have symmetric gaps.
>>19
I understood half of what you said in the beginning and nothing of what you said at the end. Your grammar didn't help.
What does it have to do with prime numbers?
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Anonymous2010-06-11 5:39
>>21
To know, is to know fully. No human can know fully, therefore no human knows anything at all. Ergo, we must always strive to learn for we are eternally ignorant though we think ourselves smart.
So if you are inquiring in regards to something to which I am interested, expect to get vague responses because I want to include potentialities and possibilities not exclude them just because I may think I know something about it.
You know, I do want to learn stuff too, not just profess to know shit that I couldn't possibly know in absolute detail.
Why do I make such claims? The moment you think you know something is the moment you cease learning about it. You stop asking questions when you know the answers. And you wonder where your inspiration has gone.
>>23
Stop replying to this thing's long-winded, pseudo-intellectual drivel. It probably doesn't even know what communitive and associative properties in mathematics are. http://userscripts.org/scripts/show/77139
>>20
It will leave regular gaps, until you get to the point where there's so many adjacent single-number gaps that the whole becomes irregular. That's the entire fucking point.
Nobody is saying that there are no patterns arbitrarily far away from the centre of the spiral, just that there are fewer and the whole thing is more chaotic. You can try to prove that, or you can just look at the fucking picture, but your personal incredulity is not a counter-argument.
oh yeah, seems like someone tried to use "induction" on primes. Lol, what a nut sack.
:/
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Anonymous2010-06-28 4:01
if you move a prime in a field it induces a headache
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Anonymous2010-06-29 14:10
WTF!!!
PRIME NUMBERS HAVE A PATTERN?!!!
GTFO
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Anonymous2010-06-30 4:25
>>35
yeah, that's what everyone who's never used induction on primes has asserted without the evidence to back up their word. Seems almost like human nature, if you ask me.