proof of Wilson’s theorem result
set of primes We denote by the set of primes and by the multiplicative inverse of in .
Theorem (Generalisation of Wilson’s Theorem).
For all integers
If is a prime, then:
Now, if , then as the opposite would mean that , for some integers , and so would not be relatively prime to as the initial hypothesis implies. ∎
|Title||proof of Wilson’s theorem result|
|Date of creation||2013-03-22 15:07:08|
|Last modified on||2013-03-22 15:07:08|
|Last modified by||CWoo (3771)|