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Cubes as factorials' sum (Posted on 2018-06-23)

How many perfect cubes below 10^6 can be expressed as the sum of two or more unique integer factorials ?

List them all.

Examples: 2!+3!=8; 1!+2!+4!=27.

Rem: 0! is not allowed.

See The Solution Submitted by Ady TZIDON

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computer search

Comment 1 of 1

just one more

729 = 9^3 = 1! + 2! + 3! + 6!

That's all to 10^9

Edited on June 23, 2018, 10:59 am

Posted by Steven Lord on 2018-06-23 10:14:22

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