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Old 2020-04-05, 16:55   #1
sweety439
 
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Nov 2016

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Default Is this true??

Prove or disprove:

The last nonzero digit of hyperfactorials (1^1*2^2*3^3*4^4*...*n^n) in dozenal (duodecimal) (except 1) are 3, 4, 8, or 9.

Last fiddled with by sweety439 on 2020-04-05 at 16:55
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Old 2020-04-06, 06:23   #2
CRGreathouse
 
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Aug 2006

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Extra credit: Prove that an analogous statement holds in every base.
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