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Euler on trial (Posted on 2015-05-14) Difficulty: 3 of 5
Euler proposed that the equation a4+b4+c4 =d4 had no solutions in integers (excluding the trivial 0,0,0 of course).

Nowadays, is it true or not?

No Solution Yet Submitted by Ady TZIDON    
Rating: 1.0000 (1 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)
Master of the obvious | Comment 1 of 4
No, not true today.

For instance, consider (0,0,1).
0^4 + 0^4 + 1^4 = 1^4. 

Somehow, I do not think this is the answer the puzzle author is looking for.

  Posted by Steve Herman on 2015-05-14 12:45:43
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