Number of times that the numerator of a sum generated from the set 1, 1/2, 1/3,..., 1/n is prime.

Terms

a(0) =0a(1) =1a(2) =3a(3) =9a(4) =19a(5) =43a(6) =79a(7) =162a(8) =307a(9) =607a(10) =1075a(11) =2186a(12) =3872a(13) =7573a(14) =15101a(15) =29139a(16) =52295a(17) =104953a(18) =189915a(19) =379275a(20) =754081a(21) =1462115a(22) =2675851a(23) =5351541a(24) =10254019a(25) =19987942a(26) =38901233a(27) =77620568a(28) =144021667a(29) =288428481