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Non-divisibility of factorials (Posted on 2024-10-16)

For what values of n is

(n²-1)!

not divisible by

(n!)ⁿ ?

No Solution Yet Submitted by Jer

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Exploration a bit further, same result

Comment 2 of 2 |

Appears to be 4 and all primes

----------

import sympy

def isprime(n):

return sympy.isprime(n)

primes = [i for i in range(200) if isprime(i)]

def fact(n):

if n == 1 or n == 0:

return 1

ans = 1

for i in range(n):

ans *= (i+1)

return ans

ans = []

for n in range(1,200):

big = fact(n**2 - 1)

lit = (fact(n))**n

if big%lit != 0:

print(n,isprime(n))

ans.append(n)

Posted by Larry on 2024-10-16 19:13:56

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