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 [number theory] sieving with a_i mod p_i tommy1729 Ultimate Fellow Posts: 1,372 Threads: 336 Joined: Feb 2009 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 « Next Oldest | Next Newest »

 Messages In This Thread [number theory] sieving with a_i mod p_i - by tommy1729 - 09/09/2014, 01:10 AM RE: [number theory] sieving with a_i mod p_i - by jaydfox - 09/10/2014, 04:50 PM RE: [number theory] sieving with a_i mod p_i - by tommy1729 - 09/10/2014, 08:27 PM RE: [number theory] sieving with a_i mod p_i - by jaydfox - 09/11/2014, 01:47 AM RE: [number theory] sieving with a_i mod p_i - by tommy1729 - 09/11/2014, 08:24 AM RE: [number theory] sieving with a_i mod p_i - by jaydfox - 09/11/2014, 08:00 PM RE: [number theory] sieving with a_i mod p_i - by tommy1729 - 09/12/2014, 07:28 AM RE: [number theory] sieving with a_i mod p_i - by tommy1729 - 09/11/2014, 11:40 AM

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