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Product Divides Sum? (
Posted on 20150512
)
Each of P, Q and R is a positive integer such that P divides Q
^{2}
, Q divides R
^{2}
and R divides P
^{2}
.
Does P*Q*R always divide P+Q+R?
If not, give a counterexample.
If so, prove it.
No Solution Yet
Submitted by
K Sengupta
No Rating
Comments: (
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)
re: Analytical Solution
 Comment 2 of 3 
(In reply to
Analytical Solution
by Steve Herman)
Some values that work:
(1,1,1), (1,1,2), (1,2,3)
In the positive integers, this list looks exhaustive, the reason being that (1,1,x) falls between 1 and 2, while (x,y,z), not necessarily distinct, is a fraction less than 1.
Posted by
broll
on 20150513 05:38:28
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