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Perfect powers equal to the sum of 5 factorial numbers.
2

%I #4 Jul 19 2013 06:04:15

%S 8,9,16,25,32,36,125,128,144,216,243,289,729,1444,1681,2304,3600,5832,

%T 45369,121104,363609,7257636,11289600,6234681600

%N Perfect powers equal to the sum of 5 factorial numbers.

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

%H Giovanni Resta, <a href="/A227646/a227646.txt">Decompositions of a(1)-a(24)</a>

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

%Y Cf. A114377, A227644-A227651.

%K nonn

%O 1,1

%A _Giovanni Resta_, Jul 19 2013