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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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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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