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Further Arithmetic Integers (Posted on 2006-06-27) Difficulty: 3 of 5
Consider three positive integers x < y < z in arithmetic sequence, and determine all possible solutions of: x4 + y4 = z4 - 64

See The Solution Submitted by K Sengupta    
Rating: 3.3333 (3 votes)

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genearl problem :-D Comment 10 of 10 |
    I've been doing some playing around with the more general problem

x^4+y^4=z^4-n

with n>0, 0<x<y<z and x,y,z in arithmetic sequence

its interesting to see for what values of n solutions exist

I also believe I have a complete solution to this more general problem :-)

  Posted by Daniel on 2006-06-28 22:53:13
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