Smallest number beginning with 2 and having exactly n prime divisors counted with multiplicity.

Terms

a(0) =2a(1) =21a(2) =20a(3) =24a(4) =200a(5) =216a(6) =288a(7) =256a(8) =2592a(9) =2304a(10) =2048a(11) =20736a(12) =20480a(13) =24576a(14) =204800a(15) =221184a(16) =294912a(17) =262144a(18) =2654208a(19) =2359296a(20) =2097152a(21) =21233664a(22) =20971520a(23) =25165824a(24) =209715200a(25) =226492416a(26) =201326592a(27) =268435456a(28) =2013265920a(29) =2415919104