Talk:Euler's sum of powers conjecture

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my 9th grade algebra teacher has been discussing things lately with me in our free time about different mathematical theories, and he's talked about about Euler, i was wondering if anyone knows anymore contributions to mathematics he's done, maybe some other problems and unsolved theories.

Why don't you look at the Euler article?

[edit] Lander-Parkin-Selfridge Conjecture

Does the conjecture not have an extra stipulation about each a_i being relatively prime to each b_j? There are trivial counterexamples if not (set n = m, choose k n+ m arbitrary and b_i = a_i). —Preceding unsigned comment added by 80.192.83.21 (talk) 13:47, 22 February 2008 (UTC)

No, the numbers are not required to be co-prime. But a's and b's should be different. I will add that requirement. Maxal (talk) 06:08, 23 February 2008 (UTC)