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Prime counting function p(31)=31*(4/15) + (1 - 4/15) + 2 = 11, F(s)=1 - T(s) = 1 - 4/15 = 4/15 + 4/15 + 3/15 : sum of 4/15/(2-1)=1/2 - 1/6 - 1/10 + 1/30 : 1st zero[14], 8/15/(3-1)=4/15 = 1/3 - 1/15 : 2nd zero[21], 3/15=(5-1)/5/(5-1) = 1/5 : 3rd zero[25].
Prime counting function p(31)=31*(4/15) + (1 - 4/15) + 2 = 11, F(s)=1 - T(s) = 1 - 4/15 = 4/15 + 4/15 + 3/15 : sum of 4/15/(2-1)=1/2 - 1/6 - 1/10 + 1/30 : 1st zero[14], 8/15/(3-1)=4/15 = 1/3 - 1/15 : 2nd zero[21], 3/15=(5-1)/5/(5-1) = 1/5 : 3rd zero[25].