From 2efed3654df405f3c67e7c1a932100045ff32d4f Mon Sep 17 00:00:00 2001 From: Flancian <0@flancia.org> Date: Fri, 12 Jul 2024 01:55:56 +0200 Subject: [PATCH] autopushed --- journal/2024-07-12.md | 12 +++++++----- 1 file changed, 7 insertions(+), 5 deletions(-) diff --git a/journal/2024-07-12.md b/journal/2024-07-12.md index a42265d15..2fb5f2170 100644 --- a/journal/2024-07-12.md +++ b/journal/2024-07-12.md @@ -1,6 +1,7 @@ - threw [[261]] - leading to [[hex/10]] = [[271]]: es todo perfecto como es. - I realized [[hex/6]] = [[97]] is prime, the last I had yet to memorize below 100. That concludes a particular interesting sequence, I guess :) + - [[primes]]: - The number of primes below 100 is perhaps interesting to know: 25. So a fourth of the 100 first numbers are prime! Huh. - Knowing up to 1000 would unlock getting a statistical feel of how quickly primes 'thin out'. - Of course we can also count to 10: 4 primes below 10, so about two fifths. @@ -11,8 +12,9 @@ - it's alpha but it works sometimes (tm) - #go at://anagora.bsky.social - is that a valid [[at protocol]] uri? I believe it sort of should be but I haven't checked :) -- Here I am having counted the primes up to 1000: [[168]]. So down to 16.8% of numbers being prime. - - The [[Prime number theorem]] is what I was inching towards - - https://en.wikipedia.org/wiki/Prime-counting_function#Table_of_%CF%80(x),_x/log(x),_and_li(x) is a [[great table]] - - The ratio of primes below number n which is exactly 1/#primes_below, can be estimated by 1/(x/log(x)) - - Wow, had I never heard of [[logarithmic integral function]] before? +- [[primes]]: + - Here I am having counted the primes up to 1000: [[168]]. So down to 16.8% of numbers being prime. + - The [[Prime number theorem]] is what I was inching towards + - https://en.wikipedia.org/wiki/Prime-counting_function#Table_of_%CF%80(x),_x/log(x),_and_li(x) is a [[great table]] + - The ratio of primes below number n which is exactly 1/#primes_below, can be estimated by 1/(x/log(x)) + - Wow, had I never heard of [[logarithmic integral function]] before?