95800[sup]4[/sup] + 217519[sup]4[/sup] + 414560[sup]4[/sup] = 422481[sup]4[/sup]

At http://en.wikipedia.org/wiki/Euler%27s_sum_of_powers_conjecture

But nothing involving powers of 3

]]>has no solutions. This is Euler's conjecture.

This was proved many years later by a counter example by another mathematician.

(I am sorry, I don't remember the numbers in the counter example. I shall make a note of it and post later)

The counter example had numbers all greater than a million. Later on, it was also proved that any number of solutions exist in the realm of numbers after that.

Where had the one eyed cyclops, the most gifted mathematician the planet had ever seen, gone wrong?

If I remember right, he had tested numbers only upto a million. Mathematics had shown us yet again that if something is true for every number up to a million, it is not necessarily true thereafter too.

(I had read this in the book FLT by Simon Singh.)

]]>