You are correct about saying d is 1 and p but I beg to differ on the rest.

Doesn't follow from above?

where q=m+r. Now,

No, by all means no!! It isn't true at all that .

For example, take !
Clearly, if d is 1, it is true sinc

Thus, 1 is a trivial case since it always works.

Now, examining

Again, this doesn't follow!

I think you must check your logical deductions in this matter very carefully.

Tonio
which leads d=1 or p since 1 or the prime number divides p.

Also, it does add value. Not everyone thinks the same way and I don't prefer Melese proof. That doesn't mean I discredit his work. I appreciate it his work since it has benefited me in the past.