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A227651
Perfect powers equal to the sum of 10 factorial numbers.
9
16, 25, 27, 32, 36, 49, 64, 81, 100, 125, 128, 144, 169, 196, 216, 225, 256, 289, 324, 343, 400, 441, 484, 512, 529, 625, 676, 729, 784, 841, 900, 1000, 1024, 1089, 1156, 1225, 1331, 1444, 1521, 1600, 1681, 1728, 1936, 2048, 2187, 2197, 2304, 2401, 2916, 3025
OFFSET
1,1
COMMENTS
a(240), if it exists, is larger than 10^50.
LINKS
Giovanni Resta, Table of n, a(n) for n = 1..239 (terms < 10^50)
EXAMPLE
25411681 = 71^4 = 1! + 7! + 7! + 10! + 10! + 10! + 10! + 10! + 10! + 10!.
CROSSREFS
KEYWORD
nonn
AUTHOR
Giovanni Resta, Jul 19 2013
STATUS
approved