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Diophantine quickie (Posted on 2011-05-27) Difficulty: 2 of 5
Each of a, b, c, d and e is a positive integer satisfying this system of equations:

a-2 + b-2 + c-2 = d-2, and:

a+b+c = e2

Determine the smallest value of e. What are the next two smallest values of e?

No Solution Yet Submitted by K Sengupta    
Rating: 5.0000 (1 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)
re: The value of e Comment 3 of 3 |
(In reply to The value of e by Math Man)

I believe KS was referring to the variable e in the question, not the base of the natural logarithms (aka Euler's constant.)   :-)

 

 


  Posted by JayDeeKay on 2011-05-31 18:11:21
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