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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    
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Solution Using the Internet (spoiler) | Comment 2 of 4 |
Less trivially,
2682440^4 + 15365639^4 + 18796760^4 = 20615673^4

This specific result dates back to 1988, and is one of many exceptions.  The full paper is here


  Posted by Steve Herman on 2015-05-14 12:53:14
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