Let n be a positive integer greater than 5.
Show that the sum of the divisors of n! is not divisible by n!
Why? That's dumb lul
Because you're not a brainlet
Trivial (prime factorization).
>>9092575
sum of the divisors of n! is 1 + 2 + 3 + ... + n which is always lower than n! for every n > 5
>>9092596
>sum of the divisors of n! is 1 + 2 + 3 + ... + n
imagine being this wrong
>>9092596
>his sum of divisors of n! doesn't even include n!
Why did you even post?
>>9092618
there is nothing mentioned about factoring
>>9092618
so wrong you look and see numbers
>>9092625
>there is nothing mentioned about factoring
What?
>>9092627
>so wrong you look and see numbers
What?
>>9092575
Do your own homework OP.
>>9092575
What a headache...
I'll keep trying.
>>9092575
https://en.wikipedia.org/wiki/Perfect_number
https://en.wikipedia.org/wiki/Euclid%E2%80%93Euler_theorem
>>9092672
Close but no cigar
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!)
>>9092630
IMAGINE BEING AT COMPUTERS
SO FAT YOU LOOK AND YOU SEE FOOD