Forum: Math
2011-01-13, 16:49
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Replies: 64
Views: 5,722
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Forum: Math
2011-01-13, 16:45
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Replies: 64
Views: 5,722
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Forum: Math
2011-01-13, 15:55
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Replies: 64
Views: 5,722
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Forum: Math
2011-01-13, 15:30
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Replies: 64
Views: 5,722
To be fair, I've accepted I was being a crank,...
To be fair, I've accepted I was being a crank, and I only mentioned "averaging" on the basis it would clearly be nonsense (I've seen another cranky attempt that failed on that basis). That last post...
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Forum: Math
2011-01-13, 13:51
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Replies: 64
Views: 5,722
And coming back to this, I think the only way...
And coming back to this, I think the only way would be an illegimate "averaging" step - it is unlikely that the fraction 2/pn x 2/pn+1 .... 2px [the last prime before SQRT(Pn#)] can sieve out all the...
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Forum: Math
2011-01-13, 12:11
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Replies: 64
Views: 5,722
On reflection I think axn was right about the...
On reflection I think axn was right about the last prime. The existence of gaps means we need ever higher primes to fill the gaps, but not necessarily ever higher twin primes. Doh.
Thanks to all...
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Forum: Math
2011-01-12, 11:29
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Replies: 64
Views: 5,722
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Forum: Math
2011-01-12, 09:21
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Replies: 64
Views: 5,722
OK, so if I'm not being dozy, we know from n=3...
OK, so if I'm not being dozy, we know from n=3 that every successive value of n will remove the candidates between n and n+1, which is enough to mean there can't be an infinite number of special...
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Forum: Math
2011-01-12, 08:41
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Replies: 64
Views: 5,722
OK, apologies for ignoring the trivial case of...
OK, apologies for ignoring the trivial case of 1-1 = 0. Though it' s a tiny bit unfair to use that as a stick to beat me with, and also doesn't mean I didn't understand the previous example, to which...
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Forum: Math
2011-01-12, 04:48
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Replies: 64
Views: 5,722
No, because then again we know from the start...
No, because then again we know from the start that no such special numbers exist so it would be a nonsensical argument, based on dividing zero by infinity. There's a difference between a flawed...
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Forum: Math
2011-01-11, 22:25
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Replies: 64
Views: 5,722
OK, let me have a look
Well, we're in...
OK, let me have a look
Well, we're in trouble here since this is self-contradictory. So let's not go through the rest of it. There are no such "special numbers". Whereas there are such things...
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Forum: Math
2011-01-11, 21:57
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Replies: 64
Views: 5,722
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Forum: Math
2011-01-11, 21:55
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Replies: 64
Views: 5,722
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Forum: Math
2011-01-11, 21:50
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Replies: 64
Views: 5,722
Yes, infinity is always a slippery concept.
...
Yes, infinity is always a slippery concept.
Though on the other hand, isn't there something a bit circular going on in your counterargument. I'm saying that no matter how many primes there are,...
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Forum: Math
2011-01-11, 21:24
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Replies: 64
Views: 5,722
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Forum: Math
2011-01-11, 21:23
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Replies: 64
Views: 5,722
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Forum: Math
2011-01-11, 20:21
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Replies: 64
Views: 5,722
Indeed, and I know that's always a danger.
...
Indeed, and I know that's always a danger.
You might be right. The thing I thought was interesting is not just the symmetry (which of course isn't a symmetry in primes or twins), but the fact that...
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Forum: Math
2011-01-11, 19:44
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Replies: 64
Views: 5,722
Or one more reverse way of looking at it (a...
Or one more reverse way of looking at it (a little experimental...)
If we start by assuming "there is an infinite set of primes, but a highest pair of twin primes".
Then we gradually remove...
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Forum: Math
2011-01-11, 19:34
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Replies: 64
Views: 5,722
And many thanks to you for bothering to engage...
And many thanks to you for bothering to engage more closely with the argument in spite of my informal layout.
If there is a flaw this may well be where it lies. Certainly that step needs a bit...
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Forum: Math
2011-01-11, 19:30
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Replies: 64
Views: 5,722
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Forum: Math
2011-01-11, 17:20
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Replies: 64
Views: 5,722
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Forum: Math
2011-01-11, 17:19
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Replies: 64
Views: 5,722
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Forum: Math
2011-01-11, 08:58
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Replies: 64
Views: 5,722
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Forum: Math
2011-01-10, 19:39
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Replies: 64
Views: 5,722
Twin Primes
I've not posted here before but have been an interested reader. I wanted to run an attempted proof of the Twin Prime Conjecture (and perhaps Polignac's Conjecture in general) past the forum members...
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