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 The sine sieve for primes ? tommy1729 Ultimate Fellow Posts: 1,372 Threads: 336 Joined: Feb 2009 05/10/2015, 08:06 AM (This post was last modified: 05/10/2015, 08:08 AM by tommy1729.) Maybe the fact that prod (sin^2(n) - 25/16) stays bounded and diverges has something to do with this. This suggests that Maybe we should replace s with similar to make things nicer. Im also unsure about that integral ... Maybe the values of F are too close to 0 most of the time. I think with strong hesitation that for large n with respect to x , The function F Goes to exp(-2n ln(n) + 2n) prod gamma(p_n)^(2/p_n) asymptotically with measure 1. This estimate is based on statistical thinking and prod p_n ~ exp(n ln n - n). This estimate hints at correcting factors for the integrand also known as weights. Atthough all this suggests we are not talking of the simplest or best sieve type function , it is intuïtive and therefore intresting. A lot of work to do but lots of inspiration. The way i like math usually. Regards Tommy1729 « Next Oldest | Next Newest »

 Messages In This Thread The sine sieve for primes ? - by tommy1729 - 05/09/2015, 11:25 PM RE: The sine sieve for primes ? - by tommy1729 - 05/10/2015, 08:06 AM

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