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