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 [2014] Representations by 2sinh^[0.5] tommy1729 Ultimate Fellow Posts: 1,380 Threads: 338 Joined: Feb 2009 11/16/2014, 07:40 PM To estimate A(M) I use the following Tommy's density estimate *** Let f(n) be a strictly increasing integer function such that f(n)-f(n-1) is also a strictly increasing integer function. Then to represent a positive density of primes between 2 and M we need to take T_f(M) elements of f(n). T_f(M) is about ln(M)/ln(f^[-1](M)). This is an upper estimate. *** In this case to represent a positive density of primes between 2 and M we then need about ln(M)/ln^[3/2](M) 2S numbers. This is a brute upper estimate. A(M) is estimated as sqrt( ln(M)/ln^[3/2](M) ). Improvement should be possible. regards tommy1729 « Next Oldest | Next Newest »

 Messages In This Thread [2014] Representations by 2sinh^[0.5] - by tommy1729 - 11/15/2014, 01:21 PM RE: [2014] Representations by 2sinh^[0.5] - by tommy1729 - 11/16/2014, 07:40 PM

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