ohwphil
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ohwphil
I found out that my claim works only when p!=n (Actually the original paragraph also turns out to have this assumption, but it is not explicitly written), so I propose...
Ah, now I see that my argument was a little bit wrong. I intended to show a contradiction in another way but I got mixed up. Now I change the...
Yes, you are right in pointing that out. BTW, another way of leading a contradiction is stating that gcd(p,k)