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Distribution of primes |
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| Mar16-09, 04:02 AM | #1 |
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Distribution of primes
Before I went to bed I had an idea about integers. Is there such thing as a prime number density? I just listed 1 through 50 and found that primes aren't uniformly distributed(that I noticed). Now by typical density definition the density should be the number of primes as a function of some bound over the space. Has anyone done work on this?
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| Mar16-09, 04:04 AM | #2 |
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Look for prime number theorem.
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| Mar16-09, 04:14 AM | #3 |
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Recognitions:
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| Mar16-09, 05:21 AM | #4 |
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Distribution of primesIs there some complex pattern? |
| Mar16-09, 05:22 AM | #5 |
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Funny you should say that I just found a remarkable proof of Fermats last theorem but my margin was too small to write it down.Now I have forgotten it.Damm.
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| Mar16-09, 05:27 AM | #6 |
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That's exactly what I said when I sent in my paper to the Clay institute: the margin was too small but the proofs of all seven so called unsolvables are trivial--Do I get my money now?. They didn't take it to well.
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| Mar17-09, 06:30 AM | #7 |
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Recognitions:
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It doesn't matter who you are, it'll be safe to say that many people smarter than you have spent the equivalent of many lifetimes of full-time study looking at the distribution of prime numbers.
Suffice to say that any progress in this area isn't going to come about from empirical study of their distribution. |
| Mar17-09, 02:23 PM | #8 |
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| Apr7-09, 09:06 PM | #9 |
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Actually, the Fourier transform of the distribution of zeros of the zeta at +1/2 is equal to the distribution of primes and prime powers.
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