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Originally Posted by Vijay
Quite nicely worked out, but there does exist a smaller 'friendly' solution. Can anybody find the small solution?
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There should be several smaller solutions. My example was intended to be small but informative. Tiny solutions make poor examples because everything tends to fold in on itself. I would expect the smallest solution to come from setting h=0. That leads to the choices
x=2 (it must be a factor of 2
h-h+1=2)
k=1 (k and q must be factors of 2
x-1=3)
y=1
z=2
q=3
m=2
r=1
p=1
For the tiny solution p=1, q=3, r=1, and the equation become 4=4.
Now for a reverse challenge - how many solutions can you find between this tiny solution and my example?