A380318 Product of the first n perfect powers (A001597).

1, 1, 4, 32, 288, 4608, 115200, 3110400, 99532800, 3583180800, 175575859200, 11236854988800, 910185254092800, 91018525409280000, 11013241574522880000, 1376655196815360000000, 176211865192366080000000, 25374508587700715520000000, 4288291951321420922880000000, 840505222458998500884480000000, 181549128051143676191047680000000

Offset: 0

Author

Ilya Gutkovskiy, Jan 20 2025

Keywords

• nonn

Links

• Eric Weisstein's World of Mathematics, Perfect Power.

Crossrefs

Cf. A000442, A001044, A001597, A002110, A024923, A036691, A076408, A111059.

Programs

Mathematica

Join[{1},FoldList[Times,Join[{1},Select[Range[250],GCD@@FactorInteger[#][[All,2]]>1&]]]] (* Harvey P. Dale, May 03 2025 *)