Product_{n>=1} (1 + a(n)*x^n) = 1 + Sum_{n>=1} prime(n+1)*x^n.

Terms

a(0) =3a(1) =5a(2) =-8a(3) =35a(4) =-52a(5) =118a(6) =-320a(7) =1597a(8) =-2016a(9) =6616a(10) =-16064a(11) =40516a(12) =-122552a(13) =381606a(14) =-903176a(15) =4389807a(16) =-7597004a(17) =22835416a(18) =-61172890a(19) =188526110a(20) =-486889660a(21) =1550995910a(22) =-4093173788a(23) =11608277912a(24) =-33815484714a(25) =105179650108a(26) =-279683446078a(27) =883705997682