Hi, I'm an arts and letters guy but I like to wander around

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Anonymous
2017-01-20 05:37:50 Post No. 8616765
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Anonymous 2017-01-20 05:37:50 Post No. 8616765 [Report]

Hi,

I'm an arts and letters guy but I like to wander around numbers sometimes. I was studying basic math these days and I wonder, is there anyway to know how many prime numbers thre are between two concrete numbers? Any algorithm, formula?

Is that a dumb question?

Thanks anyway

Anonymous 2017-01-20 05:44:59 Post No.8616777
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Anonymous 2017-01-20 05:44:59 Post No.8616777 [Report]

>>8616765
>Is that a dumb question?
Yes, because it's googleable.

Anonymous 2017-01-20 05:44:59 Post No.8616778
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Anonymous 2017-01-20 05:44:59 Post No.8616778 [Report]

>>8616765
The primes have a weird density in the natural numbers. There's graphs about it you can find. To date, there's no known way to predict the density. If there were, we could prove there was an infinite number of primes.

Anonymous 2017-01-20 05:46:58 Post No.8616784
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Anonymous 2017-01-20 05:46:58 Post No.8616784 [Report]

>>8616765
>is there anyway to know how many prime numbers thre are between two concrete numbers?

The only way to do this is by using the prime counting function, which does not have a closed form (yet?).

The best you can do is estimate it. You can give lower bounds and upper bounds.

Anonymous 2017-01-20 05:50:18 Post No.8616793
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Anonymous 2017-01-20 05:50:18 Post No.8616793 [Report]

>>8616765
I think less than 7 million or some shit like that. Numberphile did a vid on it

Anonymous 2017-01-20 05:51:59 Post No.8616797
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Anonymous 2017-01-20 05:51:59 Post No.8616797 [Report]

>>8616793
That was a sweet vid.

Anonymous 2017-01-20 06:09:51 Post No.8616831
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Anonymous 2017-01-20 06:09:51 Post No.8616831 [Report]

>>8616778
It has been prooven since 300BC.

Anonymous 2017-01-20 09:19:03 Post No.8617251
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Anonymous 2017-01-20 09:19:03 Post No.8617251 [Report]

>>8616765
Check out The Music of the Primes (Book or Video) by Prof. Marcus du Sautoy. It's fascinating and bang on this subject.

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I'm aware that Imgur.com will stop allowing adult images since 15th of May. I'm taking actions to backup as much data as possible.
Read more on this topic here - https://archived.moe/talk/thread/1694/