Numerator of Sum_{k=1..n} 1/(k*(prime(k+1)-prime(k))).

Terms

a(0) =1a(1) =5a(2) =17a(3) =71a(4) =379a(5) =389a(6) =2843a(7) =5791a(8) =52679a(9) =54191a(10) =601141a(11) =608071a(12) =8071243a(13) =8148463a(14) =8196511a(15) =2060389a(16) =35567153a(17) =11912441a(18) =227867909a(19) =28847227a(20) =8275057a(21) =33289183a(22) =768422549a(23) =6163315597a(24) =30969555953a(25) =31263744353a(26) =94216171859a(27) =665249876813