hi everybody

i'm interested in solving the folowing 'equation' whitout spending hours to do so!

I know some of you have percular skill and some may be lucky as well :I feel i could spend hours into this job whithout getting through just digging the wrong place (i remember i did it (or thought i did it once) in a few minutes but i can't put the hand on it )

so after this trying to be short and polite introduction this is the stuff

(i must had i have found the relation i want to proove by trying a lots of rather small exemple whith 'excel')

so k is a prime number

p is a odd number (it could be prime) and we want to proove in Z/kz:

(1+c^p=(c+1)^p and not c=0 and not c=-1)=> c^(p-1)=(c+1)^(p-1) =1

or c^(p+1)=(c+1)^(p+1)=1

thanks for your help