期刊名称：Computational Methods in Science and Technology
印刷版ISSN：1505-0602
出版年度：2011
卷号：17
期号：1-2
页码：87-92
出版社：Poznan Supercomputing and Networking Center
摘要：The results of computer investigation of the sign changes of the difference between the number of twin primes 2()π x and the Hardy-Littlewood conjecture 22Li ( )Cx are reported. It turns out that 2222() () Li()dx π xC x=.changes the sign at unexpectedly low values of x and for x < 248= 2.81... × 1014there are 477118 sign changes of this difference. It is conjectured that the number of sign changes of 2()dx for ()1,xT∈is given by log( ).TT The running logarithmic densities of the sets for which 2() 0dx>and 2() 0dx<are plotted for x up to 2
