Let n be a positive integer greater than 5.
Show that the sum of the divisors of n! is not divisible by n!
Let n be a positive integer greater than 5
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Why? That's dumb lul
Because you're not a brainlet
Trivial (prime factorization).
sum of the divisors of n! is 1 + 2 + 3 + ... + n which is always lower than n! for every n > 5
>sum of the divisors of n! is 1 + 2 + 3 + ... + n
imagine being this wrong
>his sum of divisors of n! doesn't even include n!
Why did you even post?
there is nothing mentioned about factoring
so wrong you look and see numbers
>there is nothing mentioned about factoring
What?
>so wrong you look and see numbers
What?
Do your own homework OP.
What a headache...
I'll keep trying.
Close but no cigar
Find me an n! that is a power of 2 times a prime.
It's done enough for me.
P.S. n can be an integer greater than 3
I just expanded your theorem lol.
Probably proved through induction? Too tired rn to try. Wrote a quick python script - the pattern seems to hold.
Left side is n, right side is divisor-sum(n!)%(n!)
see
IMAGINE BEING AT COMPUTERS
SO FAT YOU LOOK AND YOU SEE FOOD
>en.wikipedia.org
>en.wikipedia.org
How exactly does this solve OPs problem? He asked about divisibility, not equality.