6

Part of 1950 Polish MO Finals

Problems(1)

product of 1 to n-1 is divisible by n, when n>4 is not a prime ,

Source: Polish MO Finals 1950 p6

Prove that if a natural number

n

is greater than

4

and is not a prime number, then the produxt of the consecutive natural numbers from

1

n-1

is divisible by

n

number theoryconstruction