SOLUTION: What is the smallest value of f that satisfies {{{ a^2+b^2+c^2+d^2+e^2=f^2 }}}, given that a, b, c, d, e and f are all positive integers, not necessarily different?

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Question 1096008: What is the smallest value of f that satisfies , given that a, b, c, d, e and f are all positive integers, not necessarily different?
Found 2 solutions by Alan3354, Edwin McCravy:
Answer by Alan3354(69443)   (Show Source): You can put this solution on YOUR website!
f = 0
Answer by Edwin McCravy(20055)   (Show Source): You can put this solution on YOUR website!

The other tutor doesn't seem to know that 0 is 
NOT a positive integer.  Here's the solution:

12 + 12 + 12 + 22 + 32 = 42

Note: If they had to be all different, the answer 
would have been

12 + 32 + 42 + 52 + 72 = 102
 
Edwin
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