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@@ -1,6 +1,7 @@
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- threw [[261]]
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- threw [[261]]
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- leading to [[hex/10]] = [[271]]: es todo perfecto como es.
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- leading to [[hex/10]] = [[271]]: es todo perfecto como es.
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- I realized [[hex/6]] = [[97]] is prime, the last I had yet to memorize below 100. That concludes a particular interesting sequence, I guess :)
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- I realized [[hex/6]] = [[97]] is prime, the last I had yet to memorize below 100. That concludes a particular interesting sequence, I guess :)
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- [[primes]]:
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- The number of primes below 100 is perhaps interesting to know: 25. So a fourth of the 100 first numbers are prime! Huh.
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- The number of primes below 100 is perhaps interesting to know: 25. So a fourth of the 100 first numbers are prime! Huh.
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- Knowing up to 1000 would unlock getting a statistical feel of how quickly primes 'thin out'.
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- Knowing up to 1000 would unlock getting a statistical feel of how quickly primes 'thin out'.
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- Of course we can also count to 10: 4 primes below 10, so about two fifths.
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- Of course we can also count to 10: 4 primes below 10, so about two fifths.
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@@ -11,8 +12,9 @@
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- it's alpha but it works sometimes (tm)
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- it's alpha but it works sometimes (tm)
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- #go at://anagora.bsky.social
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- #go at://anagora.bsky.social
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- is that a valid [[at protocol]] uri? I believe it sort of should be but I haven't checked :)
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- is that a valid [[at protocol]] uri? I believe it sort of should be but I haven't checked :)
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- Here I am having counted the primes up to 1000: [[168]]. So down to 16.8% of numbers being prime.
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- [[primes]]:
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- The [[Prime number theorem]] is what I was inching towards
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- Here I am having counted the primes up to 1000: [[168]]. So down to 16.8% of numbers being prime.
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- https://en.wikipedia.org/wiki/Prime-counting_function#Table_of_%CF%80(x),_x/log(x),_and_li(x) is a [[great table]]
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- The [[Prime number theorem]] is what I was inching towards
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- The ratio of primes below number n which is exactly 1/#primes_below, can be estimated by 1/(x/log(x))
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- https://en.wikipedia.org/wiki/Prime-counting_function#Table_of_%CF%80(x),_x/log(x),_and_li(x) is a [[great table]]
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- Wow, had I never heard of [[logarithmic integral function]] before?
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- The ratio of primes below number n which is exactly 1/#primes_below, can be estimated by 1/(x/log(x))
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- Wow, had I never heard of [[logarithmic integral function]] before?
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