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 2020-10-06, 18:20 #1 R2357   "Ruben" Oct 2020 Nederland 2·19 Posts Possiblie Prime Positions Hello, I do sieves (of Eratosthenes), and since a bit, I use sequences lenght 30, with 8 PPP, because each time you move up a # (2#=2, 3#=6...), you take away the inverse proportion of the primorial times what's left (1-1*1/2=1/2, 1/2-1/3*1/2=1/3), and from 7# on, some divisible numbers in the first sequence, ex 121 become PPP. By the way, I saw a video saying that everyone thinks that the second Hardy Littlewood conjecture is false, I wonder why, does someone have any ideas? Thanks
2020-10-06, 20:28   #2
JeppeSN

"Jeppe"
Jan 2016
Denmark

3·61 Posts

Quote:
 Originally Posted by R2357 By the way, I saw a video saying that everyone thinks that the second Hardy Littlewood conjecture is false, I wonder why, does someone have any ideas?
This part is explained in https://en.wikipedia.org/wiki/Second...ood_conjecture – if the First Hardy–Littlewood conjecture is true, then this implies that the second Hardy–Littlewood conjecture is false. So both cannot be true. Most people believe in the first one. /JeppeSN

 2020-10-07, 05:59 #3 R2357   "Ruben" Oct 2020 Nederland 2×19 Posts I mean for a period of 2#=2, 2n+1, for 3#=6, 6n+1, 6n+5, for 5#=30, 30n+1, +7, +11, +13, +17, +19, +23, +29... (LaurV: sorry buddy, I had to edit your post to delete the quote of my message, which was unapproved by other moderators, so I had to retract it - it was a bad joke, sorry again. I didn't change your text, the clarification is useful). Last fiddled with by LaurV on 2020-10-07 at 06:27 Reason: as explained
 2020-10-07, 08:53 #4 R2357   "Ruben" Oct 2020 Nederland 2×19 Posts Thanks
2020-10-07, 09:48   #5
kruoli

"Oliver"
Sep 2017
Porta Westfalica, DE

1,231 Posts

Quote:
 Originally Posted by R2357 By the way, I saw a video saying that everyone thinks that the second Hardy Littlewood conjecture is false, I wonder why, does someone have any ideas?
Take a look at http://www.opertech.com/primes/k-tuples.html, they are trying to disproof the second conjecture by finding a counter example.

 2020-10-07, 10:40 #6 R2357   "Ruben" Oct 2020 Nederland 2·19 Posts I don't get it! With only the multiples of the first 26 primes taken away, less than 12% of numbers remain as potentials, 446/3159 is more than 14%. How could they possibly find a counter example in a region over 10^174?

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