09/10/2014, 08:27 PM
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
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