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

Source: Polish MO Finals 1950 p6

September 1, 2024

number theoryconstruction

Problem Statement

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