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## Homework Statement

the idea is to prove wether a prime 'p' divides the quantities [tex] {p \choose k} [/tex]

for k=01,2,3,....,p-1

## Homework Equations

## The Attempt at a Solution

i have tried by inspection for small primes 3,5,7,11,13,17,...... but can not guess a simple solution , the idea is to see if for p prime , the Cyclotomic polynomial

[tex] x^{p}+..........+x+1 [/tex] for p prime.