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Some powers decomposed (Posted on 2015-04-16) Difficulty: 3 of 5
S1=9 = 1! + 2! + 3!
S2=27 = 1! + 2! + 4!
S3=32 = 2! + 3! + 4!

The S1, S2, S3 represent the values of integer powers that can be represented as a sum of exactly three distinct factorials (0! excluded)

Find S4, S5, S6.

A friendly tip: STOP after S6.

No Solution Yet Submitted by Ady TZIDON    
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re(2): Thoughts from OEIS Comment 5 of 5 |
(In reply to re: Thoughts from OEIS by Charlie)

Ah yes.  In retrospect, that hasty comment about finding large values was completely off the mark.  Duh.  You'd have to check whether each is a power by actually factoring the number.
  Posted by Jer on 2015-04-17 21:13:39

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