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Euler on trial (Posted on 2015-05-14)

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)

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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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