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olmec-akeru t1_jcjw333 wrote

Right, so ignoring the specific error and thinking about the general approach: adding a^3 is a fourth term; and it happens that a = 0.

Sneaky, but not illogical.

Edit: the above is wrong, read the thread below for OPs insights.

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Available_Lion_652 t1_jcjwf9c wrote

Yes, that was interesting, :) but it failed at adding operatios

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olmec-akeru t1_jck223w wrote

Yeah, totally right—and I understand that the specifics really matter in some cases (for example calculating a starship trajectory).

What intrigues me, is that in ideas of concept, of logic, this specific error isn't meaningful. i.e. if the sum of three primes was initially correct the approach wouldn't be invalid. There is something in this.

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Available_Lion_652 t1_jck2th4 wrote

Not quite :). The second operation (a + b + c)^2014 = a^2014 + b^2014 + c^2014 is false. It does not understand complex math operations. To be sincere solving the above problem means it can do better math than most humans.

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olmec-akeru t1_jck3hvp wrote

Precisely right; I hadn't applied my mind to that expansion. My comment is erroneous.

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