A227646 Perfect powers equal to the sum of 5 factorial numbers.

8, 9, 16, 25, 32, 36, 125, 128, 144, 216, 243, 289, 729, 1444, 1681, 2304, 3600, 5832, 45369, 121104, 363609, 7257636, 11289600, 6234681600

Offset: 1

Author

Giovanni Resta, Jul 19 2013

Keywords

• nonn

Comments

a(25), if it exists, is larger than 10^100.

Examples

			5832 = 18^3 = 4! + 4! + 4! + 6! + 7!.
		

Links

• Giovanni Resta, Decompositions of a(1)-a(24)

Crossrefs

Cf. A114377, A227644-A227651.