A072121 a(1) = 1; for n > 1, a(n) = smallest number > a(n-1) having at least n divisors.

1, 2, 4, 6, 12, 18, 24, 30, 36, 48, 60, 72, 120, 144, 168, 180, 240, 252, 336, 360, 420, 480, 504, 540, 720, 840, 900, 960, 1008, 1080, 1260, 1320, 1440, 1680, 1800, 1980, 2160, 2520, 2640, 2880, 3360, 3600, 3780, 3960, 4200, 4320, 4620, 4680, 5040, 6300

Offset: 1

Author

Vladeta Jovovic, Jun 19 2002

Keywords

• nonn

Links

• Robert Israel, Table of n, a(n) for n = 1..1000

Crossrefs

Cf. A069654, A061799.

Programs

Maple

f:= proc(n,a) local k;
for k from a+1 do
  if numtheory:-tau(k) >= n then return k fi
od
end proc:
R:= 1: x:= 1:
for n from 2 to 100 do x:= f(n,x); R:= R,x od:
R; # Robert Israel, Jan 09 2024