Thread Rating:
  • 0 Vote(s) - 0 Average
  • 1
  • 2
  • 3
  • 4
  • 5
[number theory] sieving with a_i mod p_i
#3
Thank you for your reply and intrest Jay !

However Im not sure what you computed.

There are 25 primes below 100.
Or 24 odd primes.

So i must be 24 or 25 depending on details in the definition.

But then you write

a_i
..
28..33

I do not know what that means ?

28,29,30,31,32,33 ?

Does that mean that for any of 28,29,... 33 as a fixed value of a_i we get the same result ?

Many interpretations are possible I think.

Im betting you are considering a fixed a_i and

0..27 1204 means that for any fixed a_i between 0 and 27 we get the same value : 1204.

Is my guess correct ?

Thanks for the reply.

Btw as for " intuition " I note that for prime twins we sieve
0 mod 2 0 mod 3 0 mod 5 ...
and
(3-2) mod 3 (5-2) mod 5 ...

Then for this variant , the intuition of " stable " at least for simple "patterns" in the a_i , leads to the conjecture of infinitude of the prime twins !

Note that in my OP - which appears confusing apparantly - the a_i are not neccessarily fixed.

So we could consider
1 mod 2 ,1 mod 3, 2 mod 5, 6 mod 7, 5 mod 11 etc

I assume fixed a_i are easier to study perhaps.

My question is thus more general.
I gave an example - between the brackets - of a fixed a_i ...
Probably that confused matters. ( sorry )

**
Probably this reminds some people of the " Lucky numbers ".
**

Thanks for your reply.
Hope this results in something constructive.


regards

tommy1729
Reply


Messages In This Thread
RE: [number theory] sieving with a_i mod p_i - by tommy1729 - 09/10/2014, 08:27 PM

Possibly Related Threads...
Thread Author Replies Views Last Post
  Hyper operators in computability theory JmsNxn 5 3,425 02/15/2017, 10:07 PM
Last Post: MphLee
  Cellular auto : rule 30 number ? tommy1729 0 1,154 08/03/2016, 08:31 PM
Last Post: tommy1729
  Set theory debate : cantor 1st / Virgil argument. tommy1729 1 1,763 12/08/2015, 11:14 PM
Last Post: tommy1729
  [2015] Spiderweb theory tommy1729 0 1,659 03/29/2015, 06:25 PM
Last Post: tommy1729
  " fake ring theory " tommy1729 0 1,739 06/11/2014, 11:29 PM
Last Post: tommy1729
  [Number Theory] pi(X,x,x+2)+pi(X,x,x+4) tommy1729 1 2,156 04/11/2014, 10:33 PM
Last Post: tommy1729
  the " average restart " of a number. tommy1729 0 1,422 03/26/2014, 01:02 AM
Last Post: tommy1729
  A conjecture about number theory and tetration tommy1729 0 1,812 10/23/2013, 09:28 PM
Last Post: tommy1729
  (number theory) How tommy1729 does it. tommy1729 0 1,783 08/12/2013, 09:13 PM
Last Post: tommy1729
  Number theory and hyper operators JmsNxn 7 7,300 05/29/2013, 09:24 PM
Last Post: MphLee



Users browsing this thread: 1 Guest(s)